The function best represent the value of hybrid car that is worth 40000 and it declines by 3% every year is [tex]40,000(0.97)^{t}[/tex]
The value of the car = 40,000
The value of car declines at the rate of 3% every year
function is represented as F(t)
F(t) = [tex]P( 1 - \frac{R}{100} )^{t}[/tex]
P is principal amount value of the car which is 40,000
R is rate at which it declines every year which is 3%
t is no. of year
Putting all the values in the equation we get
F(t) = [tex]40000(1-\frac{3}{100} )^{t}[/tex]
F(t) = [tex]40000(\frac{97}{100}) ^{t}[/tex]
F(t) = [tex]40000(0.97)^{t}[/tex]
The function represent the value of the hybrid car is [tex]40000(0.97)^{t}[/tex] .
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The table shows the monthly fees for checking accounts at two banks. Bank F -nis K Checking Account Fees at Two Banks Monthly Fee $8 when the average daily balance is less than $500; no fee when it is $500 or more $12 when the average daily balance is less than $750; no fee when it is $750 or more Which statement is best supported by the information in the table? A The fee at Bank K will be greater than the fee at Bank F whenever the average daily balance is less than $750. The fee at Bank K will always be less than the fee at Bank F. (c The fee at Bank K will always be greater than the fee at Bank F. The fee at Bank K will be less than the fee at Bank F only when the average daily balance of $750 is maintained.
Answer:
Step-by-step explanation:
The best-supported statement by the information in the table is:
C. The fee at Bank K will always be greater than the fee at Bank F.
This is because for any given average daily balance, Bank K has a higher fee than Bank F. For example, for an average daily balance of less than $500, Bank F charges $8 while Bank K charges $12. Similarly, for an average daily balance between $500 and $750, Bank F charges no fee while Bank K charges $12. Therefore, the fee at Bank K will always be greater than the fee at Bank F.
The average speed of a baseball line drive is 83 miles per hour. Josiah
a practiced a new technique to improve his hitting speed. His coach recorded
the speed of 42 random hits during practice and found that his average speed
using the new technique was 84. 2 miles per hour, with a standard deviation of
4. 7 miles per hour.
Part A: State the correct hypotheses Josiah is trying to prove the new
technique is an improvement over the old technique. (4 points)
Part B: Identify the correct test and check the appropriate conditions. (6
points)
I have the answer to part A i just have no idea how to check my conditions. PLEASE HELP!!!
If all three conditions are met, then the two-sample t-test can be used to test the hypotheses.
For testing the hypotheses in part A, a two-sample t-test for independent means can be used to compare the mean speed of the baseball line drive using the old technique to the mean speed using the new technique. The conditions for the t-test are:
Independence: The 42 hits using the new technique should be independent of the hits using the old technique.
Normality: The speeds using the new and old techniques should be normally distributed. This can be checked by creating a histogram of the speeds and checking for a roughly bell-shaped curve.
Equal variances: The variance of the speeds using the new technique should be approximately equal to the variance of the speeds using the old technique. This can be checked by using a statistical test for equal variances, such as Levene's test.
If all three conditions are met, then the two-sample t-test can be used to test the hypotheses.
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Which region contains viable solutions to the systems of inequalities within the context of the situation? The situation is Everett wanted to create chocolate milk using whole milk and chocolate syrup. He wanted his chocolate milk to have less than 8 grams (g) of fat and less than 28 grams (g) of sugar. He drew the graph shown where x is the amount of whole milk in ounces (oz) and y is the amount of chocolate syrup in ounces (oz).
The region that contains viable solutions to the systems of inequalities is region H
Which region contains viable solutions to the systems of inequalities?From the question, we have the following parameters that can be used in our computation:
Chocolate milk to have less than 8 grams (g) of fat Also less than 28 grams (g) of sugar.This means that the region viable solutions to the systems of inequalities is the region below the inequallity line
In this case, the region is the region G
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If the price of a car is $5,900 and has a down payment of 15%, with a tax rate of 8.5%, how much will the amount of the loan need to be for?
To celebrate halloween, lacey's class is making candy necklaces. lacey is helping pass out string from a 50-yard-spool. she gives 30 inches of string to each student. if there are 24 students in her class, how many yards of string will be leftover?
The class will use 20 yards of the 50-yard spool, leaving 30 yards of string leftover.
This leftover string could be used for future projects or saved for another occasion.
Lacey's class will use a total of 720 inches (30 inches per student x 24 students) of string for the candy necklaces.
To convert this to yards, we divide by 36 (since there are 36 inches in a yard). 720 inches ÷ 36 = 20 yards
It's important to note that when working with different units of measurement, it's necessary to convert them to the same unit before performing calculations.
In this case, we converted inches to yards in order to determine the amount of string used by the class. By doing so, we were able to determine how much string was leftover in yards, which is a more appropriate unit of measurement for a spool of string.
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Complete the statements below to explain two ways to convert miles to kilometers.
1
mile ≈1.61
kilometers
1
kilometer ≈0.62
mile
CLEARCHECK
Kilometers are
miles.
That means the number of kilometers in a distance will always be
the number of miles in that distance.
We can convert miles to kilometers by
by 1.61
.
We can convert miles to kilometers by
by 0.62
.
The number of miles travelled is 6.2 miles.
What is Kilometer ?
A kilometer (km) is a unit of length or distance measurement in the metric system. It is equivalent to 1,000 meters or approximately 0.62 miles. The prefix "kilo" means "thousand", so one kilometer is equal to 1,000 meters.
Completing the statements:
Kilometers are a larger unit of distance measurement compared to miles. That means the number of kilometers in a distance will always be greater than the number of miles in that distance.
We can convert miles to kilometers by multiplying the number of miles by 1.61. For example, if we have a distance of 5 miles, we can convert it to kilometers as:
5 × 1.61 = 8.05 kilometers
We can also convert kilometers to miles by multiplying the number of kilometers by 0.62. For example, if we have a distance of 10 kilometers, we can convert it to miles as:
10 × 0.62 = 6.2 miles
Therefore, The number of miles travelled is 6.2 miles.
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The real number properties can be used to simplify numerical expressions. in this section, you will identify which properties were used to simplify several expressions.
which properties were used to simplify the following expression? select all that apply.
4 + 3(9 + 2)
4 + (3 × 9) + (3 × 2)
4 + 27 + 6
4 + 6 + 27
10 + 27
37
The property was not explicitly used in this example, but it is worth noting that adding 0 to any number leaves it unchanged (i.e., a + 0 = a).
How many properties are used to simplify the expression 4 + 3(9 + 2) into 37?The properties that were used to simplify the expression 4 + 3(9 + 2) into 37 are:
Distributive property: The expression was rewritten as 4 + (3 × 9) + (3 × 2) by distributing the 3 over the parentheses.
Associative property: The order of the terms (3 × 9) and (3 × 2) was rearranged without changing the result because of the associative property of multiplication.
Commutative property: The order of the terms 4, 27, and 6 was rearranged without changing the result because of the commutative property of addition.
Identity property: The property was not explicitly used in this example, but it is worth noting that adding 0 to any number leaves it unchanged (i.e., a + 0 = a).
The properties used to simplify the expression are Associative property of addition, Commutative property of addition, and Distributive property and Identity property of addition. Therefore, the correct option is A, C, E and F.
The properties used to simplify the expression are as follows.
1. Distributive property (E): 4 + 3(9 + 2) = 4 + (3 × 9) + (3 × 2)
This property is applied when a number is multiplied with the sum of two or more numbers. In this case, the number 3 is distributed over the numbers 9 and 2.
2. Identity property of addition (F): 4 + 27 + 6 = 4 + 6 + 27
This property states that adding zero to any number does not change its value. Although this property isn't explicitly shown in the given steps, it is implied by the fact that we can rearrange the terms in the addition without changing their value.
3. Commutative property of addition (C): 4 + 6 + 27 = 10 + 27
This property states that changing the order of numbers in an addition does not change the sum. Here, the numbers 4 and 6 were rearranged to make it easier to add them together.
4. Associative property of addition (A): (10 + 27) = 37
This property states that the grouping of numbers in an addition does not affect the sum. In this case, the parentheses are unnecessary since the numbers were already grouped correctly.
In summary, the properties used to simplify the expression are: A) Associative property of addition, C) Commutative property of addition, and E) Distributive property and F) identity property of addition.
Note: The question is incomplete. The complete question probably is: The real number properties can be used to simplify numerical expressions. in this section, you will identify which properties were used to simplify several expressions. Which properties were used to simplify the following expression? select all that apply.
4 + 3(9 + 2)
4 + (3 × 9) + (3 × 2)
4 + 27 + 6
4 + 6 + 27
10 + 27
37
A) associative property of addition B) associative property of multiplication C) commutative property of addition D) commutative property of multiplication E) distributive property F) identity property of addition G) identity property of multiplication
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The lengths of the sides of a triangle
are 9, 12, and 15. what is the perimeter
of the triangle formed by joining the
midpoints of these sides?
The perimeter of the triangle formed by joining the midpoints of the sides of the original triangle is 3.
To find the perimeter of the triangle formed by joining the midpoints of the sides of the original triangle, we first need to find the midpoints. The midpoint of a side of a triangle is the point that is exactly halfway between the endpoints of that side.
Using the formula for the midpoint of a line segment ((x1+x2)/2, (y1+y2)/2), we can find the midpoints of the sides with lengths 9, 12, and 15:
Midpoint of the side with length 9: ((9+12)/2, (0+0)/2) = (10.5, 0)
Midpoint of the side with length 12: ((9+15)/2, (0+0)/2) = (12, 0)
Midpoint of the side with length 15: ((12+9)/2, (0+0)/2) = (10.5, 0)
Note that all three midpoints lie on the x-axis.
Now we can find the lengths of the sides of the triangle formed by joining the midpoints. These sides are the line segments connecting the midpoints, and their lengths are equal to the distances between the midpoints:
Length of the side connecting (10.5, 0) and (12, 0):
d = sqrt((12-10.5)^2 + (0-0)^2) = 1.5
Length of the side connecting (10.5, 0) and (10.5, 0):
d = sqrt((10.5-10.5)^2 + (0-0)^2) = 0
Length of the side connecting (12, 0) and (10.5, 0):
d = sqrt((10.5-12)^2 + (0-0)^2) = 1.5
So the triangle formed by joining the midpoints of the sides of the original triangle is an isosceles triangle with two sides of length 1.5 and one side of length 0. The perimeter of this triangle is:
Perimeter = 1.5 + 1.5 + 0 = 3
Therefore, the perimeter of the triangle formed by joining the midpoints of the sides of the original triangle is 3.
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HW Inverse Functions
Name:
1. Let p be the price of an item and q be the number of items sold at that price. Assume q= f(p). Explain what the
following quantities mean in terms of prices and quantities sold.
A. f(25) b. f-¹ (30)
It should be noted that f(25) represents the quantity of items sold when the price is $25. In other words, if the price of the item is $25, then f(25) gives the number of units that customers will buy.
How to explain the functionAlso, f⁻¹(30) represents the price at which q = 30 units will be sold. In other words, if the number of items sold is 30, then f⁻¹(30) gives the price at which these 30 units will be sold.
This quantity is also known as the inverse demand function, which gives the price as a function of quantity demanded. . f(25) represents the quantity of items that will be sold at a price of $25. This means that if the item is sold at a price of $25, the function f will return the number of items that will be sold.
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The amount of a popular drink in bottles has the normal distribution with the mean = 101. 5 milliliters (mL) and the standard deviation = 1. 6 milliliters (mL). If n = 36 bottles are randomly selected, find the probability that the average content in these selected bottles is smaller than 102. 1 milliliters (mL)
The probability of the normal distribution with given mean and standard deviation representing average content in the selected bottles is smaller than 102.1 mL is equal to 0.9878.
Distribution of the sample means of a normal distribution ,
Mean μ = 101.5 mL
Standard deviationσ = 1.6 mL
sample size n = 36
For normal distribution,
Standard deviation of the sample means is,
σ/√n
= 1.6/√36
= 0.2667 mL
Probability that the average content in the selected bottles is smaller than 102.1 mL,
Standardize the sample mean using the formula,
z = (X- μ) / (σ/√n)
where X is the sample mean.
Substituting the values, we get,
⇒z = (102.1 - 101.5) / (0.2667)
⇒ z = 2.25
Using a standard normal distribution table ,
Probability of a z-score being less than 2.25 is approximately 0.9878.
Therefore, the probability that the average content in the selected bottles is smaller than 102.1 mL is approximately 0.9878.
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A woman bought 130kg of tomatoes for 52. 0. She sold half of them at a profit of 30%. The rest of the tomatoes started to go bad. She then reduced the selling price per kg by 12%. Calculate
i. The new selling price per kg
ii. The percentage profit on the whole transaction if she threw away 5kg of bad tomatoes
(I) The new selling price per kilogram of the tomatoes is 0.4576.
(II) The percentage profit on the whole transaction is 24.77% if she threw away 5kg of bad tomatoes.
What is the new selling price?The new selling price is calculated as follows;
The cost per kilogram of the tomatoes is;
Cost per kg = Total cost / Total weight
Cost per kg = 52 / 130
Cost per kg = 0.4
Selling price per kg = Cost per kg + (Profit percentage x Cost per kg)
Selling price per kg = 0.4 + (0.3 x 0.4)
Selling price per kg = 0.52
The new selling price per kilogram is:
= Selling price per kg - (Reduction percentage x Selling price per kg)
= 0.52 - (0.12 x 0.52)
= 0.4576
The total revenue from selling the tomatoes is calculated as;
The woman sold half of the 130kg of tomatoes, = 130 / 2 = 65kg
Revenue = (amount sold x selling price per kg) + (amount left x new selling price per kg)
Revenue = (65 x 0.52) + (65 x 0.4576)
Revenue = 33.8 + 29.68
Revenue = 63.48
New total cost = Total cost / Total weight x (Total weight - Bad tomatoes)
New total cost = 0.4 x (130 - 5)
New total cost = 50.6
The profit on the whole transaction is calculated as;
Profit = Total revenue - New total cost
Profit = 63.48 - 50.6
Profit = 12.88
The profit percentage on the whole transaction is calculated as;
Profit percentage = (Profit / Total cost) x 100%
Profit percentage = (12.88 / 52) x 100%
Profit percentage = 24.77%
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Let the region r be the area enclosed by the function f(x)=x^2+1 and g(x)=2x+1. if the region r is the base of a solid such that each cross section perpendicular to the x axis is a square, find the volume of the solid.
The volume of the solid is 32/15 cubic units.
How to find volume of the solid?To find the volume of the solid, we need to integrate the area of each square cross section perpendicular to the x-axis over the interval [a, b], where a and b are the x-coordinates of the intersection points of f(x) and g(x):
First, we find the intersection points of the two functions:
x²+1 = 2x+1
x² - 2x = 0
x(x-2) = 0
x = 0 or x = 2
So, a = 0 and b = 2.
Next, we find the side length of each square cross section. Since the cross section is a square, the side length is equal to the difference between the y-coordinates of the functions f(x) and g(x) at each x:
Side length = f(x) - g(x) = (x²+1) - (2x+1) = x² - 2x
Finally, we integrate the area of each square cross section over the interval [0, 2] to get the volume of the solid:
V = ∫[0,2] (x² - 2x)² dx
V = ∫[0,2] (x⁴- 4x³ + 4x²) dx
V = [1/5 x⁵ - 1 x⁴ + 4/3 x³] [0,2]
V = (1/5 x⁵ - 1 x⁴ + 4/3 x³)|[0,2]
V = (1/5(2⁵) - 1(2⁴) + 4/3(2³)) - (1/5(0⁵) - 1(0⁴) + 4/3(0³))
V = (32/5 - 16/3)
V = 32/15
Therefore, the volume of the solid is 32/15 cubic units.
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Justin has a loyalty card good for 11% discount at his local grocery store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax in one step?
To find the price Justin would have to pay, he should multiply the prices on
the tags by 0.89 in one step.
The price Justin would have to pay before tax after applying an 11%
discount, he needs to multiply the price on the tags by a certain number.
Let's denote the price on the tag as P.To find the price after the 11%
discount, Justin would multiply the price on the tag by (100% - 11%), or 0.89.
This is because the discount of 11% is equivalent to paying 89% of the
original price.
Mathematically, the calculation would be:
Price after discount = P * 0.89
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Sam was able to buy 1 prize for every 5 tickets he had earned. Sam bought as many prizes as he could with his tickets. How many prizes was Sam able to buy
The number of prizes Sam able to buy = 5
Given that;
Sam bought 1 prize for each 5 tickets
Which means he can buy 1 prize for 1 ticket
Since number of ticket Sam has = 5
Therefore he can buy
1 prize for 1 ticket
2 prizes for 2 tickets
3 prizes for 3 tickets
4 prizes for 4 tickets
5 prize4s for 5 tickets
Hence Sam can buy maximum 5 prizes.
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Jun’s fruit stand sold 12 fewer watermelons than bananas last week. The stand sold 48 bananas last week.
Complete the sentences using the correct numbers or ratios from the drop down menu.
Last week, the ratio of bananas sold to watermelons sold was (Select).
This ratio means that for every (Select) bananas sold, the number of watermelons sold was (Select) HELP SOON ASAP PLEASE
Last week, the ratio of bananas sold to watermelons sold was 4 : 3.
This ratio means that for every 4 bananas sold, the number of watermelons sold was 3.
Since there were 48 bananas sold, we can find the number of watermelons sold by subtracting 12 from 48:
48 bananas - 12 = 36 watermelons
Now, we can determine the ratio of bananas sold to watermelons sold. The ratio would be:
Bananas : Watermelons = 48 : 36
To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 12:
48 ÷ 12 = 4
36 ÷ 12 = 3
So, the simplified ratio is:
4 : 3
This ratio means that for every 4 bananas sold, the number of watermelons sold was 3. In other words, out of every 7 fruits sold (4 bananas + 3 watermelons), 4 were bananas and 3 were watermelons. This provides an easy way to understand the proportion of each type of fruit sold at Jun's fruit stand last week.
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is root 9 /25 a rational number?
Answer:
Yes
Step-by-step explanation:
9/25
√9/√25 = 3/5 = 0.6
so it is a rational number because it has an integer as a denominator also because the decimal is not reoccurring
Answer: Yes
Step-by-step explanation:
Yes.
9/25 = .36
Because the decimal stop it is rational
Only decimals that have no pattern and go on infinitely then it is irrational like [tex]\pi[/tex] or √7 if you plug those into a calculator they go on forever and have no pattern
The ratio of three numbers is 6 : 1 : 5. The sum of the numbers is 36. What are the three numbers?
Answer:3,15,18.
Step-by-step explanation:
6:1:5 total ratio =6+1+5=12 so you’ll take all the numbers at different times so 6 will be divided by 12 and multiplied by36 (6/12)36= 18so the first number is nine do the same thing for the next ratio (1/12)36=3 thirdly(5/12)36=15 now add the three numbers to check whether they sum up to36(18+3+15=36)
The domain of ( g o f o g ) ( x ), where "o" denotes composition of functions is ____.
The domain of (g o f o g)(x), where "o" denotes composition of functions is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.
To determine the domain of the function (g o f o g)(x), we need to consider the domains of the functions g(x) and f(x), as well as the composition of these functions.
Let's assume that the domain of g(x) is G and the domain of f(x) is F.
Since (g o f o g)(x) means that we apply the function g to f(x), and then apply g to the result again, we need to ensure that the output of f(x) is a valid input for g(x).
Therefore, the domain of (g o f o g)(x) is the set of all values of x in F such that g(f(x)) is in G, and g(y) is in G for all y in the range of g(f(x)).
In other words, the domain of (g o f o g)(x) is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.
Thus, the domain of (g o f o g)(x) is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.
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Determine all of the characteristics of the hyperbola with equation:
(x+12)^2/36-(y-15)^2/100=1
The characteristics of the hyperbola with equation (x+12)²/36-(y-15)²/100=1 are:
Center: (-12, 15)Transverse axis length: 2a = 12Conjugate axis length: 2b = 20Distance from center to foci: c ≈ 11.66Foci: (-12, 26.66) and (-12, 3.34)Vertices: (-18, 15) and (-6, 15)How to explain the hyperbolaComparing the given equation with the standard form, we have:
(h, k) = (-12, 15)
a² = 36
b² = 100
Taking the square root of a² and b², we get:
a = 6
b = 10
c² = 36 + 100
c² = 136
c ≈ 11.66
The foci of the hyperbola are located at (-12, 15 + 11.66) and (-12, 15 - 11.66), which are approximately (-12, 26.66) and (-12, 3.34).
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Jonana has a board thats 6 ft long she wants to cut it into pieces that are each 1/4 foot long. Write an equation to represent the number of pieces she cut.
Jonana cut 24 pieces of 1/4 foot length from the 6-foot board
How to Write an equation to represent the number of pieces she cutLet "x" be the number of pieces that Jonana cut.
Each piece is 1/4 foot long.
So, the total length of all the pieces is x * 1/4 = x/4 feet.
But the total length is also 6 feet.
So we can set up the equation:
x/4 = 6
Solving for x:
x = 24
Therefore, Jonana cut 24 pieces of 1/4 foot length from the 6-foot board.
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Miranda ran 4 miles in 28 minutes how many miles does miranda run in 2 minutes
Answer:
We know that Miranda ran 4 miles in 28 minutes. Let's set up the proportion:
4 miles / 28 minutes = x miles / 2 minutes
To solve for x, we can cross-multiply:
28 minutes * x miles = 4 miles * 2 minutes
28x = 8
Now, let's solve for x by dividing both sides of the equation by 28:
x = 8 / 28
x = 0.2857
Therefore, Miranda runs approximately 0.2857 miles in 2 minutes.
How many people can fit in the passenger car of 70 feet and a width of 9 feet
Approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet.
What is the volume of a car with a length of 70 feet and a width of 9 feet?To determine the number of people who can fit in a passenger car with a length of 70 feet and a width of 9 feet, we need to consider the available space inside the car and the amount of space required per person.
Assuming that the passenger car is a rectangular box shape, the volume of the car can be calculated as follows:
Volume of car = Length x Width x Height
Since we are only interested in the number of people who can fit in the car, we will assume a standard height of 6 feet for simplicity. Therefore, the volume of the car can be calculated as follows:
Volume of car = 70 feet x 9 feet x 6 feet
Volume of car = 3,780 cubic feet
Next, we need to determine the amount of space required per person. This can vary depending on the seating arrangement and the size of the individuals, but as a general rule, we can estimate that each person requires approximately 10 to 12 cubic feet of space in a seated position.
Assuming we use the lower end of that estimate and allocate 10 cubic feet of space per person, we can calculate the number of people who can fit in the car as follows:
Number of people = Volume of car / Space per person
Number of people = 3,780 cubic feet / 10 cubic feet per person
Number of people = 378 people
Therefore, if we assume a standard height of 6 feet and allocate 10 cubic feet of space per person, approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet. However, it is important to note that this is just an estimate and the actual number of people who can fit in the car will depend on factors such as the seating arrangement and the size of the individuals.
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Question
Select the correct answer from each drop-down menu. Nick bought apples at a farmers market where 5 apples cost $4. 45. If Nick bought 7 apples, he paid $. If Nick paid $9. 79 for some apples, he bought
apples.
Nick bought 11 apples for $9.79.
Nick paid $6.23 for 7 apples, and he bought 9 apples for $9.79.
Nick bought apples at a farmers market where 5 apples cost $4. 45. If Nick bought 7 apples, he paid $. To find the cost of one apple, we divide $4.45 by 5, which gives us $0.89 per apple.
For 7 apples, we multiply $0.89 by 7, which gives us $6.23.
To find the number of apples Nick bought for $9.79, we set up a proportion:
5 apples/$4.45 = x apples/$9.79
Solving for x, we get x = (9.79 × 5) / 4.45 ≈ 11
Therefore, Nick bought 11 apples for $9.79.
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PLEASE HELP ME AS SOON AS POSSIBLE WITH EXPLANATIONS PLEASE!!!!!
The statements true of the two-dimensional plane sections that could result from one of these slices made by Misha are B, C, D, E, and F.
What makes a two-dimensional plane sections?A. False. The only two-dimensional plane sections that could result from slicing a cube with a plane are squares or rectangles, but not triangles.
B. True. A plane section that is square could result from one of these slices through the cube.
C. True. A plane section that is rectangular but not square could result from one of these slices through the cube.
D. True. A plane section that is triangular could result from one of these slices through the pyramid.
E. True. A plane section that is square could result from one of these slices through the pyramid.
F. True. A plane section that is rectangular but not square could result from one of these slices through the pyramid.
Therefore, the correct statements are B, C, D, E, and F.
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Required: prepare adjusting journal entries on the book
close the book
open a new set of books for the partnership
record the contributions of both partners
prepare balance sheet of the partnership
1. Old stocks of merchandise has appraised its value to 12,000. 00
2. Allowance for bad debts in understated by 200. 00
3. Unrecorded accrued interest on notes receivables dated November 1, 2019 at 5% should be recorded
4. Accrued interest on notes payable issued on July 31, 2019 at 10% should be recognized
5. Net furniture and fixtures is understated by 1,000. 00
N. Lustre will contribute cash and delivery truck the truck was originally valued by N. Lustre as 30,000. 00 but J. Reid estimated it at 20,000. 00 to which N. Lustre agreed N. Lustres capital should be exactly equal to reid capital of 62,200
Prepare adjusting journal entries, close the book, open a new set of books for the partnership, record the contributions of both partners, and prepare the balance sheet of the partnership.
How to prepare adjusting journal entries and balance sheet for the partnership?Adjusting Journal Entries:
Debit Merchandise Inventory: 12,000Credit Allowance for Inventory Appraisal: 12,000Debit Bad Debt Expense: 200Credit Allowance for Bad Debts: 200Debit Interest Receivable: (calculate accrued interest amount based on notes receivable and interest rate)
Credit Interest Revenue: (same amount as above)
Debit Interest Expense: (calculate accrued interest amount based on notes payable and interest rate)
Credit Interest Payable: (same amount as above)
Debit Furniture and Fixtures: 1,000
Credit Accumulated Depreciation - Furniture and Fixtures: 1,000
N. Lustre's Contribution:
Debit Cash: (amount contributed by N. Lustre)
Debit Delivery Truck: 20,000
Credit N. Lustre's Capital: (total contributed amount)
J. Reid's Capital:
Credit J. Reid's Capital: 62,200
Balance Sheet of the Partnership:
Include the capital balances of N. Lustre and J. Reid
List the current assets, fixed assets, current liabilities, and long-term liabilities of the partnership
Calculate the total assets, total liabilities, and partners' equity
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HELP ME PLEASE I WILL GIVR BRAINLIEST TO THE FASTED CORRECT ANSWER PLEASE HELP ME FAST AND TY
If a, b and c are distinct real numbers, prove that the equation(x−a)(x−b)+(x−b)(x−c)+(x−c)(x−a=0has real and distinct roots.
Answer:
Step-by-step explanation:
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Find the following derivative:
d/dx =xe^x^2+1
The derivative of the given function with respect to x is:
f'(x) = e^(x^2 + 1) * (1 + 2x^2)
To find the derivative of the given function. Let's first rewrite the function for clarity: f(x) = x * e^(x^2 + 1).
To find the derivative f'(x) with respect to x, we'll apply the product rule since we have a product of two functions: x and e^(x^2 + 1). The product rule states that if you have a function f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x).
In this case, g(x) = x and h(x) = e^(x^2 + 1). First, let's find the derivatives g'(x) and h'(x):
g'(x) = d/dx (x) = 1
h'(x) = d/dx (e^(x^2 + 1)) = e^(x^2 + 1) * d/dx (x^2 + 1) = e^(x^2 + 1) * (2x)
Now, we can apply the product rule:
f'(x) = g'(x) * h(x) + g(x) * h'(x) = 1 * e^(x^2 + 1) + x * (e^(x^2 + 1) * 2x)
Simplifying the expression, we get:
f'(x) = e^(x^2 + 1) + 2x^2 * e^(x^2 + 1)
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Tell whether x and y are proportional. explain your reasoning.
To determine if x and y are proportional, we need specific values or a proportional relationship equation.
How to determine if x and y are proportional?To determine whether x and y are proportional, we need to compare the ratio of their values. If the ratio of x to y remains constant as x and y vary, then they are proportional.
Mathematically, if x/y = k, where k is a constant, then x and y are proportional. However, without specific values or equations, it is not possible to ascertain their proportionality.
Without further information, we cannot determine whether x and y are proportional. Additional context, such as specific values or an equation relating x and y, is needed to make a conclusive statement about their proportionality.
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In ARST, r = 58 cm, m/S=48° and m/T=29°. Find the length of s, to the nearest
centimeter.
The value of length 's' is 44.3 cm
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
The measure of angle R = 180-( 48+29)
R = 180- 77
R = 103°
sinR/ r = sinS/s
sin103 / 58 = sin48/s
s × sin103 = 58 × sin48
s × 0.974 = 43.1
s = 43.1/0.974
s = 44.3 cm
therefore the value of length is is 44.3 cm
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