Answer:
Step-by-step explanation:
Assuming that the interest is compounded monthly, Ben's total amount owed to the bank after 12 months can be calculated using the following formula:
A = P*(1+r/n)^(n*t)
Where:
P = principal amount borrowed = $10,000
r = annual interest rate as a decimal = 0.12
n = number of times the interest is compounded per year = 12 (monthly)
t = time period for which the interest is applied in years = 1
Plugging in the values, we get:
A = 10,000*(1+0.12/12)^(12*1)
A = $11,268.70
Therefore, Ben owes the bank a total of $11,268.70 after 12 months.
The reservoir dropped feet during a long dry spell and then rose feet following that. Which expression shows one way to calculate the total change in reservoir height over both years?
A.
B.
C.
D.
The tοtal change in reservοir height οver bοth years is a decrease οf 2 feet.
What is the tοtal difference in reservοir height between the twο years?The tοtal change in reservοir height οver bοth years can be calculated by finding the difference between the final height and the initial height.
Let's assume that the initial height οf the reservοir was H.
After the lοng dry spell, the reservοir drοpped 6 feet, which means its height became H - 6.
Fοllοwing that, the reservοir rοse 4 feet, which means its height became (H - 6) + 4 = H - 2.
Therefοre, the tοtal change in reservοir height οver bοth years can be calculated as:
Tοtal change = Final height - Initial height
= (H - 2) - H
= -2
Sο the answer is C) -0+. The tοtal change in reservοir height is a decrease οf 2 feet.
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a restaurant menu offers tomato, broccoli, and potato soups. customers order potato soup 50% of the time, broccoli 30% of the time, and tomato 20% of the time the chef designs a simulation to estimate how many of her next 10 customers will order broccoli soup. she labels five index cards p, three cards b, and two cards t. she shuffles the cards and randomly chooses a card from the pile. she records the letter, returns the card, and draws another. she repeats this process for a total of 10 draws. she completes this simulation five times. based on the simulations, how accurate is the chef's estimation regarding broccoli soup orders?
The simulation suggests that the chef's estimation of 30% broccoli soup orders is reasonable, but actual orders will vary from one set of customers to the next.
The chef's estimation of 30% broccoli soup orders seems reasonable based on the probabilities given, but the actual number of broccoli soup orders will likely vary from one set of 10 customers to the next. To estimate the accuracy of the chef's estimation, she conducts a simulation by shuffling cards representing the soup choices and randomly selecting one for each of the 10 customers. She repeats this process five times.
Based on the simulation results, we can see that the actual number of broccoli soup orders varies quite a bit from the expected value of 1.5. However, this is to be expected due to the random nature of the simulation.
To further estimate the accuracy of the chef's estimation, we could calculate the mean and standard deviation of the results to get a better sense of the distribution of possible outcomes.
Overall, the simulation suggests that the chef's estimation of 30% broccoli soup orders is a reasonable estimate, but the actual number of broccoli soup orders will likely vary from one set of 10 customers to the next.
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please help image attached x=?
Answer:
90
Step-by-step explanation:
it is a square
in a square all angles are equal to 90 degrees
Hi please help me with this question
115° is the value of external angle.
Where is exterior angle?
Angles that are outside of a polygon but parallel to its inner angles are said to be its outside angles. The total of the two internal opposite angles is the measure of an outside angle. A triangle's one side is extended to form the triangle's exterior angle.
Exterior angles are those that exist between an extended side and the side that is immediately adjacent. A triangle's outer angles all have measurements that are equal to the sum of their two opposite sides. inner perspectives.
AD ║EG
∠BFC= 75°
∠EFB = 40°
∠FCD = ( 40+75)
= 115°
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Find an equation in standard form passing through the points (3,-6)(1,-2)(6,3)
An equation in standard form passing through the points (3, -6) and (1, -2) is 2x + y = -3.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁) or [tex]y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)[/tex]
Where:
m represent the slope.x and y represent the points.At data point (3, -6), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
[tex]y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y +6 = \frac{(-2+6)}{(1 -3)}(x -3)[/tex]
y + 6 = -2(x - 3)
y = -2x + 3 - 6
y = -2x - 3
2x + y = -3
In this context, we can reasonably infer and logically deduce that an equation of the line that represents this table in standard form is 2x + y = -3.
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Pregunta 6. Una de les bases de un recipiente para guardar la gasolina se ha roto y es necesario
comprar un nuevo. El diámetro del recipiente es de 10 cm. ¿Qué área debe tener la base del
recipiente que se compre?
a. A == -10²
b.
A=2-m-5
C. A = -5²
d.
A = 2-m-10
The area should the base of the new container must have option D that is, A = 2m-10.
What is area?In mathematics, area is a measurement of the size of a two-dimensional surface or shape, usually measured in square units such as square meters, square centimeters, or square feet. It is the amount of space inside the boundary of a flat object or shape.
Here,
To calculate the area of the base of the new container, we need to find the radius of the container first. Since the diameter is given as 10 cm, the radius would be half of that, which is 5 cm. The formula for the area of a circle is A = πr², where A is the area and r is the radius. So, substituting the values, we get:
A = π(5 cm)²
A = π(25 cm²)
A = 25π cm²
However, the answer choices are not in this format. To simplify the answer, we can use the value of π as approximately 3.14 (rounded to two decimal places). So, the area of the base would be:
A = 25π cm²
A ≈ 25(3.14) cm²
A ≈ 78.5 cm²
Now, we need to choose the answer option that represents this area in terms of variables. The only option that matches is:
d. A = 2m-10
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Complete question:
Question 6. One of the bases of a container for storing gasoline has broken and it is necessary to buy a new one. The diameter of the container is 10 cm. What area should the base of the new container have?
a. A = -10²
b. A = 2m-5
c. A = -5²
d. A = 2m-10
D) what is the domain and range of the graphed function?
E) Isabel’s competition, who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0.
F) graph the function in part e
G) is your graph discrete or continuous? Explain.
The function that expresses f(x) is f(x) = 1.99x + 3, and its graph is continuous.
What is a Continuous Function?A continuous function is one that doesn't have any sudden or unexpected changes in value. It means that if we make small enough changes to its input, the output will also change by a small amount.
We can express the total cost of an order as a function of the number of books sold, x, using the formula:
f(x) = 1.99x + 3
This function takes the number of books sold, multiplies it by the cost per book ($1.99), and adds a fixed fee of $3.
For example, if we sold 3 books, we can use the function to find the total cost:
f(3) = 1.99(3) + 3 = 9.97
This means that selling 3 books would cost $9.97 in total.
The graph of this function is continuous, which means that as we move along the x-axis, the y-values change smoothly and without any sudden jumps.
The term "continuous" refers to a function that can take on any value between two given points and can be broken down into infinitely many fractions and decimals.
In contrast, a discrete function can only take on specific values, usually whole numbers or integers.
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A sweater originally cost $42.75. Last week, Keisha bought it at 20% off.
What is the discount?
O A. $51.30
08 $42.95
c. $8.55
D. $42.55
Answer:
The discount is $8.55, which is option C.
Step-by-step explanation:
To find the discount, we need to calculate 20% of the original price:
Discount = 20% x $42.75
Discount = $8.55
Therefore, the discount is $8.55, which is option C.
Pls help nonsence will be reported and banned offering 100 points!!! and brainiest
The inequality that determines the maximum number of speakers, x, Michael can buy is: B. $46.00 + $483.33 < $1,045.69
How to Solve Inequalities?To determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account, we need to use the following inequality:
Total amount spent on TV and speakers ≤ amount of money in the account
We know that Michael has $1,045.69 in his account, and he will spend $483.33 on a new television. Let x be the maximum number of speakers he can buy. Each speaker costs $46.00, so the total amount spent on the speakers will be $46.00x. Thus, we can write the inequality as:
$483.33 + $46.00x ≤ $1,045.69
Simplifying this inequality, we get:
$46.00x ≤ $1,045.69 - $483.33
$46.00x ≤ $562.36
x ≤ $562.36 ÷ $46.00
x ≤ 12.20 (rounded to two decimal places)
So the maximum number of speakers Michael can buy without spending more money than he has in his account is 12.20. However, since he cannot buy a fractional number of speakers, he can only buy a maximum of 12 speakers.
Therefore, the correct inequality that determines the maximum number of speakers, x, Michael can buy without spending more money than he has in his account is:
B. $46.00 + $483.33 < $1,045.69
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what is the perimeter for a 141 by 234
Step-by-step explanation:
the width is 23.5ft and the length is 47ft
plSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
2 wholes 3 tenths and 5 hundredths
Step-by-step explanation:
Question 8 Suppose the graph of rectangle ABCD shows the scale drawing for a safety fence that Kenny is setting up around a construction area. Each unit on the graph represents 25 feet. After studying the scale drawing, Kenny decides to build a fence that encloses a larger area. If Kenny dilates rectangle ABCD by a scale factor of 2.5, and fencing costs $5.25 per foot, how much will he spend on fencing?
Kenny will spend $4,593.75 on fencing the dilated rectangle.
What is rectangle ?
A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides of equal length. It is a type of parallelogram in which both pairs of opposite sides are parallel and congruent (of equal length). The opposite sides of a rectangle are also perpendicular (form a right angle) to each other. The area of a rectangle is equal to the product of its length and width, while its perimeter is equal to the sum of the lengths of all its sides. Rectangles are commonly used in geometry, architecture, engineering, and many other fields.
According to the question:
Since each unit on the graph represents 25 feet, the dimensions of the original rectangle ABCD are:
AB = 4 units, which represents 4 x 25 = 100 feet
BC = 3 units, which represents 3 x 25 = 75 feet
Therefore, the perimeter of ABCD is 2(AB + BC) = 2(100 + 75) = 350 feet.
When dilating by a scale factor of 2.5, each dimension of ABCD will be multiplied by 2.5. Therefore, the dimensions of the dilated rectangle A'B'C'D' are:
A'B' = AB x 2.5 = 100 x 2.5 = 250 feet
B'C' = BC x 2.5 = 75 x 2.5 = 187.5 feet
The perimeter of A'B'C'D' is 2(A'B' + B'C') = 2(250 + 187.5) = 875 feet.
Therefore, Kenny will need to fence a perimeter of 875 feet. At a cost of $5.25 per foot, the total cost of fencing will be:
875 feet x $5.25/foot = $4,593.75
Therefore, Kenny will spend $4,593.75 on fencing the dilated rectangle.
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b) Find the domain and range of g(x) 1÷(x-2) +5. what is the h value and k value for g(x)?
The domain = {x ∈ R : x ≠ 2} and the range = {g ∈ R : g ≠ 5} In light οf this, g(x) has a h value οf 2 and a k value οf 5.
What is an illustratiοn οf range?The difference between bοth the highest & lοwest values in statistics fοr a particular data cοllectiοn is called the range. Fοr instance, if the data set is 2, 5, 8, 10, 3, then the range is 10 - 2 = 8.
The definitiοn οf the functiοn g(x) is.
g(x) = 1/(x - 2) + 5
As the denοminatοr οf a fractiοn cannοt be zerο, the dοmain οf g(x) includes all real integers with the exceptiοn οf x = 2.
The range οf g(x) can be fοund by cοnsidering the behaviοr οf the functiοn as x apprοaches infinity οr negative infinity. As x apprοaches infinity οr negative infinity, the value οf g(x) apprοaches 5 (since the 1/(x - 2) term becοmes negligible cοmpared tο 5). Therefοre, the range οf g(x) is all real numbers except values very clοse tο 5.
It is pοssible tο rewrite the functiοn g(x) as fοllοws:
g(x) = (1/(x - 2)) + 5
This is in the fοrm:
g(x) = a/(x - h) + k
Where a = 1, h = 2, and k = 5.
Therefοre, the h value fοr g(x) is 2, and the k value fοr g(x) is 5.
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Justin purchased his dream car worth $18500 on a finance for 4 years. He was offered 6% interest rate. Assuming no other charges and no tax, we want to find his monthly installments.
Using simple interest his monthly installments are $1243.38
What is simple interest?The amount on Simple interest is given by A = P(1 + rt) where
P = principal, r = interest rate and t = timeNow, since Justin purchased his dream car worth $18500 on a finance for 4 years. He was offered 6% interest rate. Assuming no other charges and no tax, we want to find his monthly installments.
His installments are his principal. so, making P subject of the formula, we have that
P = A/(1 + rt)
Given that
A = $ 18500r = 6% = 0.06 and t = 4 yearsSubstituting the vales of the variables into the equation, we have
P = A/(1 + rt)
P = $ 18500/(1 + 0.06 × 4)
P = $ 18500/(1 + 0.24)
P = $ 18500/1.24
P = $ 14919.35 per year
To find his monthly installments, we divide P by 12.
So, P' = P/12
= $ 14919.35/12
= $1243.38
So, his monthly installments are $1243.38
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What is mathematics. why is it important?
Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.
What is mathematics?
Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.
Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.
Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.
Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.
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ASAP BELOW IS MY QUESTION
89⁴×10⁴
Answer:
627422410000
hope it helps
Question is posted on the picture. Plssss help!!!
Step-by-step explanation:
that the answerrrrrrrrr
You deposit $1,000.00 in an account earning 3.44% interest compounded monthly. How much will you have in the account in 8 years?
Answer: $1,282.31 in the account after 8 years.
Step-by-step explanation:
To calculate the future value of the investment, we can use the formula for compound interest:
A = P * (1 + r/n)^(n*t)
where:
A = the future value of the investment
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, we have:
P = $1,000.00 (the initial deposit)
r = 3.44% = 0.0344 (the annual interest rate)
n = 12 (the number of times the interest is compounded per year, since it is compounded monthly)
t = 8 (the number of years)
So, plugging in the values:
A = $1,000.00 * (1 + 0.0344/12)^(12*8)
A = $1,000.00 * (1 + 0.0028666666666667)^96
A = $1,000.00 * 1.2823139327534472
A = $1,282.31 (rounded to the nearest cent)
Therefore, you will have approximately $1,282.31 in the account after 8 years.
9.Weights of the NBA’s Top 50 Players Listed are the weights of the NBA’s top 50 players. Construct a grouped frequency distribution and a cumulative frequency distribution with 8 classes. Analyze the results in terms of peaks, extreme values, etc.
Frequency Distribution Table is down below.
Class Count Cumulative Frequency Table
160 - 180 3 3
181 - 201 5 8
202 - 222 14 22
223 - 243 14 36
244 - 264 10 46
265 - 285 2 48
286 - 306 1 49
307 - 327 1 50
Total 50 100
How to explain the distributionHere its peak is in between 202 to 243 frequency range. There are three extreme values that are 270, 295 and 325 pounds weight.
Median lies in the interval 223-243 and mean also lies in that interval. Maximum values lies in between 200 - 225 interval.
The distribution is left skewed.
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For a 99% confidence interval with a sample size of 10 What is the critical t-value?
which describes a quadrilateral
Answer: any shape with four sides
Step-by-step explanation:
Answer: 4 sides
Step-by-step explanation: The only qualification for a shape to be called a quadrilateral is that it has 4 sides
Hope this helps :)
Russell surveys 200 randomly selected seventh-graders in his school and finds that 30 attend summer camp. If there are 780 seventh-graders in his school, about how many are expected to attend summer camp?
Answer:
117
Step-by-step explanation:
If 30 out of 200 seventh-graders attend summer camp, we can estimate the proportion of seventh-graders who attend summer camp as 30/200 = 0.15.
To estimate how many seventh-graders out of the total of 780 are expected to attend summer camp, we can multiply this proportion by the total number of seventh-graders:
0.15 x 780 = 117
Therefore, we can estimate that about 117 seventh-graders are expected to attend summer camp.
Part B: create your own cube root function.
Come up with the equation of 2 different cube root functions. None of these can be the parent function y=^3 squared root of x. For each, find the domain, range, x- and y-intercepts, and describe any transformation for each. Also, give the coordinates of 3 points that you known are on the function (coordinates must be exact values).
The scatter plot shows the resale value of the same make
and model car and the age of the car in years. Predict the
price you would pay if you purchase one of these cars that
is 9.5 years old.
How many square millimeters are in 6 millimeters?
Answer:
0.0093 square inches
Step-by-step explanation:
rewrite the following without an exponet. 3^-4
Answer:i think -81
Step-by-step explanation:3x (-3) = -9. -9x(-3)=27. 27x(-3)= -81
Which expression is equivalent to
Wi
203
156²
b(2/15b)
2a²c²
ਕੰਠ,
15b²
603
75a7b4
40a1329
? Assume a 0 and c + 0.
why do we even need to know this stuff I think it's b
7 x 10 the the power of -5
Answer:
0.00005
Step-by-step explanation:
you move 5 decimal places left starting from 7 and right it as a decimal.
Ans=0.00007
A particle moves along the x-axis so that its velocity at any time t ≥ 0 is given by
v(t) = (2(pi) − 5)t − sin(t(pi))
A. Find the acceleration at any time t.
B. Find the minimum acceleration of the particle over the interval [0, 3].
C. Find the maximum velocity of the particle over the interval [0, 2].
Answer:
A. To find the acceleration, we need to take the derivative of the velocity function with respect to time:
a(t) = v'(t) = 2(pi) - cos(t(pi))
B. To find the minimum acceleration, we need to find the critical points of the acceleration function in the interval [0, 3].
a'(t) = sin(t(pi))
The critical points occur when sin(t(pi)) = 0, which means t = 0, 1, 2, 3. We need to evaluate the acceleration function at these points and at the endpoints of the interval:
a(0) = 2(pi) - cos(0) = 2(pi)
a(1) = 2(pi) - cos(pi) = pi + 2
a(2) = 2(pi) - cos(2pi) = 2(pi)
a(3) = 2(pi) - cos(3pi) = pi - 2
The minimum acceleration occurs at t = 3, with a minimum value of pi - 2.
C. To find the maximum velocity, we need to find the critical points of the velocity function in the interval [0, 2].
v'(t) = 2(pi) - cos(t(pi)) = 0
The critical points occur when cos(t(pi)) = 2(pi). We can solve for t as follows:
cos(t(pi)) = 2(pi)
t(pi) = arccos(2(pi))
t = arccos(2(pi))/pi ≈ 1.58
We need to evaluate the velocity function at these points and at the endpoints of the interval:
v(0) = -sin(0) = 0
v(1.58) ≈ 1.69
v(2) = (2(pi) - 5)(2) - sin(2(pi)) = 4(pi) - 10
The maximum velocity occurs at t = 1.58, with a maximum value of approximately 1.69.
The train conductor made sure to count the number of passengers on each train.
Passengers per train
Stem Leaf
1
23456799
8
90
trains
8888
5
6
0
How many trains had exactly 48 passengers?
None of the trains had exactly 48 passengers, as none of the numbers in the stem leaf plot are equal to 48. The closest numbers are 45 and 49, but neither are exactly 48.
What is passenger?Passenger is an open source web application built on top of the popular Ruby on Rails web framework. It is designed to make it easy to deploy, manage, and monitor web applications in production. Passenger helps developers quickly deploy applications with minimal effort and maximum control. It can be used to control the entire process of deploying applications, from the initial code commit to the final running web server. Passenger simplifies and streamlines the process of deploying, configuring, and running web applications, allowing developers to focus on the application's features and features. Passenger also provides tools and features to help developers troubleshoot, monitor, and scale their applications.
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