Answer:
A trainee requires 3 days of training before they can assemble 9 heaters.
Step-by-step explanation:
We are given the formula for the number of water heaters h that a trainee can assemble per 8-hour shift as:
h = 2.1 0.9t + 4
where t is the number of days of training the trainee has received. We need to find out how many training days are required before a trainee can assemble 9 heaters. So we set h to 9 and solve for t:
9 = 2.1 0.9t + 4
Subtracting 4 from both sides, we get:
5 = 2.1 0.9t
Dividing both sides by 2.1 0.9, we get:
t = (5 / (2.1 0.9))
Using a calculator, we get:
t ≈ 2.49
Rounding up to the nearest day, we get:
t = 3
Therefore, a trainee requires 3 days of training before they can assemble 9 heaters.
Please help me this is so hard and i really dont get this. if you help me with both parts ill give you 60 points
11. Higher Order Thinking Gabriela lives.
2 miles from school. On her way home,
she runs of the way and walks the rest.
How far does she walk? Explain.
Gabriela walks 1 mile distance on her way home from school as she is running part of the way.
What is distance?The distance between two things is measured in distance units like miles, kilometres, or metres. Given that it only possesses magnitude and not direction, distance is a scalar number.
We must ascertain Gabriela's total trip distance before we can respond to this query.
We can get the overall distance by adding the distance she runs to the distance she walks because she runs a portion of the route and walks the other.
Gabriela commutes two miles to school, so
She needs to travel a total of 2 miles.
We need to figure out how far she runs because she is running a portion of the way.
Since running is typically faster than walking, we can infer that she covers the distance in one mile by running half of it.
She will therefore need to walk the additional mile.
Gabriela walks a mile on her way home from school, which is the answer to the question.
This is because she walks the remaining mile and runs the first mile.
To know more about magnitude, visit:
brainly.com/question/24256733
#SPJ1
What is the discriminant of the quadratic equation − � 2 − 9 � − 8 = 0 −x 2 −9x−8=0?
we know that
discriminant of quadratic is [tex]b^{2}[/tex]-4ac
putting values we get
81-32
= 49
hence the discriminant is 49
Given that a function, g, has a domain of -20 s × s 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6, select the statement that could true for g.
A. g(-4)= -11
B. g(-13)= 20
C. g(0) = 2
D. g(7) = -1
The statement that could be true for the domain of g is g(-4) = -11.
option A.
Which statement is true for domain of g?
The function g has a domain of -20 s × s 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6.
The given statements that could be true for g is calculated as follows;
Option A: g(-4) = -11
Since the range of g is -5 s g(x) s 45, it is possible for g(-4) to be -11.
Therefore, this could be true.
Option B: g(-13) = 20
Since the domain of g is -20 s × s 5, it is not possible for g(-13) to be defined. Therefore, option B is not true.
Option C: g(0) = 2
We are given that g(0) = -2, so option C is not true.
Option D: g(7) = -1
Since the domain of g is -20 s × s 5, it is not possible for g(7) to be defined. Therefore, option D is not true.
Learn more about domain here: https://brainly.com/question/26098895
#SPJ1
Select the incorrect phrases in the paragraph.
Given:
is a right angle
is a right angle
Prove:
Four lines M A, M B, M C, and M D that starts from point M are drawn such that angle A M C equals 90 degrees, and angle B M D equals 90 degrees.
1. Angle A M C is a right angle. It leads to angle A M B and angle B M C are complementary 2. Angle B M D is a right angle. It leads to angle B M C and angle C M D are complementary. 1 and 2 lead to Angle A M B which approximately equals angle C M D.
The proof is converted to paragraph form.
Which parts of the paragraph proof are incorrect?
is a right angleis given.
is a right angleis also given.Since
is a right angle,
and
are complementary.Since
is a right angle,
and
are complementary.By the Congruent Complements Theorem,
.
Note that in the proof stated above, there is no incorrect statement.
How is this so?The evidence is that when four lines are drawn starting from a point and making two right angles, the two angles between those lines are equal.
The proof begins by stating that when you have a right angle, the two angles that add up to produce the correct angle are referred to as complementary angles.
The Congruent Complements Theorem is then used to demonstrate that the two angles in the centre are equal.
Learn mor about proof:
https://brainly.com/question/13259961
#SPJ1
Construct a 90 % confidence interval of the population proportion using the given information.
x = 105 n =150
The 90% confidence interval based on the data provided will be (0.6152, 0.7848)
How to calculate the confidence intervalIt should be noted that standard error = ✓[(p * q) / n]
p = population proportion
q = 1 - p
n = sample size
sample proportion = x / n = 105 / 150 = 0.7
standard error = ✓(p * q) / n] = sqrt[(0.7 * 0.3) / 150] = 0.0516
margin of error = 1.645 * 0.0516 = 0.0848
Confidence interval = sample proportion ± margin of error
= 0.7 ± 0.0848
= (0.6152, 0.7848)
Learn more about confidence interval on
https://brainly.com/question/15712887
#SPJ1
You are told that h is a one to one function with values h(-9)=5 and h(3)= -4 which of the following is true
If function "h" is one-to-one function which is having values h(-9) = 5, and h(3) = -4, then the inverse statement is (d) h⁻¹(-4) = 3.
We know that the function "h" is a one-to-one function, so, it has an inverse function (h⁻¹). To find the inverse function, we need to exchange roles of "x" and "y" and solve for y. This gives:
x = h(y)
y = h⁻¹(x)
The given values of function "h" are h(-9) = 5 and h(3) = -4, we find the values of h⁻¹(5) and h⁻¹(-4):
h(-9) = 5
So, h⁻¹(5) = -9 (by exchanging roles of x and y)
and h(3) = -4
So, h⁻¹(-4) = 3 (exchanging the roles of x and y)
The function "h⁻¹(-4) = 3" is represented in option (d).
Therefore, the correct option is (d).
Learn more about Function here
https://brainly.com/question/16991390
#SPJ1
how do you do comparison for percents
In order to do a comparison for percents, you must convert them to decimal form and then juxtapose the decimal values side by side to see which is greater or less.
What are percents?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent sign is commonly used, however the acronyms pct., pct, and sometimes pc are also used. A % is a number with no dimensions; it has no unit of measurement.
To calculate the percentage, divide the amount by the total value and multiply the result by 100.
Divide a percentage by 100 to get a decimal. So 25% is equal to 25/100, or 0.25. Multiply a decimal by 100 (simply shift the decimal point two places to the right) to convert it to a percentage. For example, 0.065 equals 6.5% and 3.75 equals 375%.
Learn more about percents:
https://brainly.com/question/28670903
#SPJ1
please help, will give brainiest!
Answer:
See explanation.
Step-by-step explanation:
Let's analyze each solution to determine if it's viable or non-viable based on the given constraints: Johnnie and Amy have $38.50, and they cannot buy more than 7 lunches.
1. 8 slices of pizza and 0 hamburgers
This solution is non-viable because they are not allowed to buy more than 7 lunches. In this case, they would be buying 8 lunches.
2. 5 slices of pizza and 2 hamburgers
Cost: 5×4.75+2×5.55=23.75+11.10=34.85
This solution is viable because the total cost is within their budget, and they are buying 7 lunches.
3. 4 slices of pizza and 3 hamburgers
Cost: 4×4.75+3×5.55=19.00+16.65=35.65
This solution is viable because the total cost is within their budget, and they are buying 7 lunches.
4. 3 slices of pizza and 2 hamburgers
Cost: 3×4.75+2×5.55=14.25+11.10=25.35
This solution is non-viable because they are only buying 5 lunches, which is less than the maximum allowed. But if it is acceptable to only buy below 7 lunches, then this solution can be viable.
5. 2 slices of pizza and 6 hamburgers
Cost: 2×4.75+6×5.55=9.50+33.30=42.80
This solution is non-viable because the total cost exceeds their budget.
6. 0 slices of pizza and 7 hamburgers
Cost: 7×5.55=38.85
This solution is non-viable because the total cost exceeds their budget.
In conclusion, the viable solutions are:
5 slices of pizza and 2 hamburgers
4 slices of pizza and 3 hamburgers
Possible in being viable:
3 slices of pizza and 2 hamburgers
Use the estimated angle to find the distance of the life-raft from the lighthouse.
The correct angle of elevation for the lighthouse's top is roughly 1.91°.
How to find the distance of the lift-raft from the lighthouse?Consider the diagram drawn below, P is the position of the person in the lift-raft, B is the base of the lighthouse and the T is top of the lighthouse.
The diagram shows that the angle produced between the person in the life raft's line of sight to the top of the lighthouse and the horizontal is equal to the angle formed by the top of the lighthouse's height. Call this angle "[tex]\alpha[/tex]".
a) The distance "d" between the life raft and the lighthouse can be calculated using trigonometry.
[tex]tan\alpha = \frac{opposite}{adjacent} \\tan\alpha = \frac{20}{d}[/tex]
putting the value of [tex]\alpha[/tex] = 3 degrees put into the above equation.
[tex]tan3 = \frac{20}{d}[/tex]
[tex]d = \frac{20}{tan3}[/tex]
d = 354.14 (rounded to 2 decimal points
The life raft is therefore roughly 354.14 meters away from the lighthouse.
b)
Let's now calculate the proper angle of elevation for the situation when the life raft is 600 meters from the lighthouse.
[tex]tan\alpha = \frac{opposite}{adjacent}\\ tan\alpha = \frac{20}{600}[/tex]
solving for [tex]\alpha[/tex] we get,
[tex]\alpha = tan^{-1} (\frac{20}{100})\\\alpha = 1.91 degree\\[/tex]
Since the life raft is 600 meters from the lighthouse, the correct angle of elevation for the lighthouse's top is roughly 1.91°.
Learn more about the angle of elevation here:
https://brainly.com/question/16716174
#SPJ1
The complete question in the form of the image below:
I arrived home to discover that my 50-foot by 40-foot basement has 18 inches of water in it! There are about 7.5 gallons in 1 cubic foot of water. How much water is in the basement?
Calculate using the most appropriate units to describe the amount of water, and state your answer in a meaningful sentence.
The amount of water in the basement is V = 22,500 gallons
Given data ,
To calculate the amount of water in the basement, we need to determine the volume of water in cubic feet and then convert it to the most appropriate units to describe the amount of water.
First, we need to convert the dimensions of the basement to feet, since the depth of the water is given in inches. 18 inches is equal to 1.5 feet, so the volume of water in cubic feet can be calculated as:
50 feet x 40 feet x 1.5 feet = 3,000 cubic feet
There are 7.5 gallons in 1 cubic foot of water, so the amount of water in the basement in gallons can be calculated as:
3,000 cubic feet x 7.5 gallons per cubic foot = 22,500 gallons
Hence , there are 22,500 gallons of water in the basement
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
#SPJ1
Claude has a 10-pound package of hamburger meat and an
11.5-pound package of hamburger meat. Can he make the number of
hamburger patties shown? Choose Yes or No.
A. 87 1/4-pound hamburger patties
B. 45 1/2-pound hamburger patties
C. 30 1/2 -pound and 274-pound hamburger patties
D. 29 3/4 -pound hamburger patties
Answer: We can solve this problem by finding the total weight of the meat and then dividing by the weight of each patty to see if we can make the desired number of patties.
Let's add the weights of the two packages of meat:
10 + 11.5 = 21.5
For option A, we need 87 1/4-pound patties.
Each pound of meat will yield 4 patties of this size, so 21.5 pounds of meat will yield:
21.5 x 4 = 86 patties
Since we need 87 patties, Claude does not have enough meat for option A.
For option B, we need 45 1/2-pound patties.
Each pound of meat will yield 2 patties of this size, so 21.5 pounds of meat will yield:
21.5 x 2 = 43 patties
Since we need 45 patties, Claude does not have enough meat for option B.
For option C, we need 30 1/2-pound patties and 2 74-pound patties.
Each pound of meat will yield 2 patties of the smaller size and 1 patty of the larger size, so 21.5 pounds of meat will yield:
(21.5 x 2) + (2 x 1) = 43 + 2 = 45 patties
Since Claude only has 21.5 pounds of meat, he does not have enough for option C.
For option D, we need 29 3/4-pound patties.
Each pound of meat will yield 1.5 patties of this size, so 21.5 pounds of meat will yield:
21.5 x 1.5 = 32.25 patties
Since we only need 29.75 patties, Claude has enough meat for option D.
Therefore, the answer is Yes, Claude can make 29 3/4-pound hamburger patties.
If the terminal point of 0 is (0, -1), what is tan 0?
A. Undefined
B. 1
C. -1
D. 0
The tangent function for the given terminal point is undefined.
The given terminal point of Θ is (0,-1). The tangent of an angle is defined as the quotient between the y-component and the x- component of the terminal point.
So, according to the question, tan Θ = -1/0. Hence, tan Θ is undefined as -1/0 is not defined.
Hence, tan Θ for the given function is not defined.
To learn more about tangent function click on:
https://brainly.com/question/21551278
#SPJ1
please help me understand
when T = 0, L = 150 (the original number of pages to read) and when T = 6 hours (time to read the entire book), L = 0 (no pages left to read).
What is Graph ?A chart can be defined as a pictorial representation or diagram that presents data or values in an organized manner. Points on a graph often represent a relationship between two or more things.
We can use a linear equation of the form to describe a function that relates the number of pages read to the time elapsed since the start of reading:
L = mT + b
where L is the number of pages remaining, T is the elapsed time in hours, m is the page read rate in pages per hour, and b is the original number of pages remaining when T = 0.
In this case, we know that Ray is reading at a constant rate of 25 pages per hour, so m = -25 (since we are counting the remaining pages). We also know that when T = 0 (start of reading), 150 pages remain unread, so b = 150. Combining everything we get:
L = -25T + 150
This formula describes a function that combines the number of pages being read with the time elapsed since the start of reading. Note that when T = 0, L = 150 (the original number of pages to read) and when T = 6 hours (time to read the entire book), L = 0 (no pages left to read).
Learn more about Represent the points on Graph here
https://brainly.com/question/27777680
#SPJ1
The perimeter of a rectangle is 18 feet, and the area of the rectangle is 14 square feet. What is the length of the rectangle?
The length of the rectangle with the above information is calculated as: 7 feet.
How to Determine the Length of the Rectangle?Let the length of the rectangle be l and the width be w. Then, we know that:
Perimeter = 2(l + w) = 18 feet
Area = lw = 14 square feet
We can use the first equation to solve for one of the variables in terms of the other:
l + w = 9
l = 9 - w
Substituting l = 9 - w into the equation for the area, we get:
(9 - w)w = 14
w² - 9w + 14 = 0
Factorize
(w - 2)(w - 7) = 0
Therefore, w = 2 or w = 7. Since the length of the rectangle must be larger than its width, we choose w = 2 and l = 9 - w = 7.
Thus, the length of the rectangle is 7 feet.
Learn more about length of the rectangle on:
https://brainly.com/question/17297081
#SPJ1
Image attached please help proof
The missing part of the attached proof:
a) definition of angle congruence
b) ∠CPA ≅ ∠CPB
c) CP ≅ CP
The complete paragraph proof would be,
Because CP is perpendicular bisector of AB, CP is perpendicular to AB and point P is the midpoint of AB.
By definition of midpoint,
AP = BP
and by the definition of perpendicuar lines,
m∠CPA = m∠CPB = 90°
Then by definition of segment congruence,
AP ≅ BP
and by definition of angle congruence,
∠CPA ≅ ∠CPB
By the reflexive property of segment congruene,
CP ≅ CP
So, ΔCPA ≅ ΔCPB ........by SAS congruence theorem
and CA ≅ CB because corresponding parts of congruent triangles are congruent.
So, CA = CB by the definition of segment congruence.
Learn more about the perpendicular bisector here:
https://brainly.com/question/29132624
#SPJ1
Bentley invested $670 in an account paying an interest rate of 6 7/8% compounded
quarterly. Camden invested $670 in an account paying an interest rate of 7 3/8%
compounded annually. To the nearest hundredth of a year, how much longer would
it take for Bentley's money to triple than for Camden's money to triple?
It will take 15.03 years for Bentley's money to triple.
How longer for Bentley's money to triple than Camden's?For Bentley:
We have
Principal (P) = $670
Interest rate (r) = 6 7/8% = 0.06875 (compounded quarterly)
Time (t) = unknown
Amount after t years (A) = [tex]P(1 + r/4)^{4t}[/tex]
For Camden:
We have
Principal (P) = $670
Interest rate (r) = 7 3/8% = 0.07375 (compounded annually)
Time (t) = unknown
Amount after t years (A) = [tex]P(1 + r)^t[/tex]
We have to find t such that 3P_Bentley = Camden.
[tex]2010 = 2010(1 + r/4)^{4t} / (1 + r)^t[/tex]
Simplifying, we get:
[tex](1 + r/4)^{4t} / (1 + r)^t = 1/3[/tex]
Taking natural logarithm:
4t ln(1 + r/4) - t ln(1 + r) = ln(1/3)
4 ln(1 + r/4) - ln(1 + r) = ln(1/3) / t
t = (4 ln(3.88356) - 4 ln(16)) / ln(3)
Solving for t, we get:
t = 15.034752564
t = 15.03 years.
Read more about compounded interest
brainly.com/question/24274034
#SPJ1
Solve for x. Round to the nearest tenth, if necessary
Answer:
Set your calculator to degree mode.
cos(37°) = 52/x
x cos(37°) = 52
x = 52/cos(37°) = 65.1
PLEASE HELP I NEED TO PASS THIS Using the probability distribution represented by the graph
below, find the probability that the random variable, X, falls
in the shaded region.
Answer: C: 5/8
Step-by-step explanation:
Simply 5/8 of the bar is filled in
Using probability, we can find probability of the random variable, x falling in the shaded region as to be 5/8.
Here, we have,
Probability is the ratio of favorable outcomes to all other potential outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The following formula can be used to determine an event's probability.
Positive Outcomes/Total Results = x/n = Probability(Event)
Let's look at a simple example to better understand probability. Imagine that we need to predict whether it will rain or not. The right response to this question is "Yes" or "No." Whether it rains or not is uncertain. Probability is used to predict the outcomes when tossing coins, rolling dice, or drawing cards from a deck of cards.
Here in the question,
Total region = 8.
Shaded region = 5
So, probability of falling in the shaded region = 5/8
To know more about probability, visit:
brainly.com/question/29251004
#SPJ2
Solve. Show the system of equations used and your work in solving the system.
A phone store sells Android phones for $400 and iOS phones for $650 each. This
week they sold a total of 110 phones and earned $54,000. How many Android and
how many iOS phones did they sell?
Let's assume that the number of Android phones sold is x and the number of iOS phones sold is y. Then we can write two equations based on the given information:
x + y = 110 (equation 1)
400x + 650y = 54000 (equation 2)
To solve for x and y, we can use any method of solving systems of equations. Here, we will use the substitution method:
From equation 1, we can solve for x in terms of y: x = 110 - y
Substitute x = 110 - y into equation 2 and solve for y:
400(110 - y) + 650y = 54000
44000 - 400y + 650y = 54000
250y = 10000
y = 40
Substitute y = 40 into equation 1 and solve for x:
x + 40 = 110
x = 70
Therefore, the phone store sold 70 Android phones and 40 iOS phones.
ACTIVITY 4: Solve the following inequalities.
The solutions of the inequalities are shown below
x [tex]\geq[/tex] 5
x< 13
x[tex]\geq[/tex]1
x> 1
How do you solve inequalities?Solving inequalities involves finding all possible values of a variable that make the inequality true. The process for solving an inequality depends on the type of inequality and the operations involved.
[tex]6^x + 4 \leq 6^{2x - 1} \\x + 4 \leq 2x - 1\\x - 2x\leq -1 - 4\\-x \leq -5\\x \geq 5[/tex]
[tex]2^{x + 3} > 4x^{x - 5} \\2^{x + 3} > 2^{2x - 10}\\x + 3 > 2x - 10\\x - 2x > - 10 - 3\\-x > - 13\\x < 13[/tex]
[tex]9^x \leq 9^{2x - 1}\\ x \leq 2x - 1\\x - 2x \leq -1\\-x \leq -1\\x \geq 1[/tex]
[tex]5^4 > 25^{2x} \\5^4 > 5^{4x} \\4 > 4x\\x > 1[/tex]
Learn more about inequalities:https://brainly.com/question/30228778
#SPJ1
can someone help me please
here is the picture is about Row Ops
The result of engaging in the row multiplication operation in a matrix would be [ 1 /2 0 | 3 / 4 ]
[ -1 5 | 4 ].
How to multiply matrices ?First, you should multiply the first row by the value given of 1 / 4 to be:
( 1 / 4 ) x 2 = 1 / 2
( 1 / 4 ) x 0 = 0
( 1 / 4 ) x 3 = 3 / 4
Then you can replace the values found by the values in the matrix to be :
[ 1 / 2 0 | 3 / 4 ]
[ - 1 5 | 4 ]
Find out more on matrices at https://brainly.com/question/28869656
#SPJ1
The line plot shows a student's quiz scores. Which measures of center and variability should be used to describe the data?
Quiz Scores
0=1
1,2,3,4=0
5=2
6=4
7=2
8=2
9=1
10=0
The measures of center for this data set are the mean and median. The mean is 5.1 and median is 6.
The measure of variability is the range. The range is 10.
How to explain the informationThe measures of center describe the typical or central value of the data. For this data set, we can use the mean or the median as measures of center. The mean is the average of all the quiz scores, while the median is the middle value when the scores are arranged in order.
Mean = (0x1 + 1x0 + 2x0 + 3x0 + 4x0 + 5x2 + 6x4 + 7x2 + 8x2 + 9x1 + 10x0) / (1+0+0+0+0+2+4+2+2+1+0) = 5.1
Median = 6 (the middle score)
The measures of variability describe the spread or dispersion of the data. For this data set, we can use the range. The range will be:
= Highest score - Lowest score
= 10 - 0
= 10
Leans more about mean on
https://brainly.com/question/1136789
#SPJ1
The line plot shows a student's quiz scores.
Quiz Scores
0 = 1
1,2,3,4 = 0
5 = 2
6 = 4
7 = 2
8 = 2
9 = 1
10 = 0
Which measures of center and variability should be used to describe the data?
A line passes through the points (8,8) and (5,2). What is its equation in slope-intercept form?
Step-by-step explanation:
m=y1-y2/x1-x2
m=2-8/5-8
m=-6/-3
m=2
y=m(x-x1)+y1
y=m(x-8)+8
y=2x-16+8
y=2x-22
Answer: Y=mx+c
Step-by-step explanation:
The Slope-Intercept Form can be written in the form: y = mx + c Where “m” is the slope of the line “c” is the y-intercept of the equation of the line
which value represents a percentage between 11% and 17%
Answer:
Step-by-step explanation:
a
I understand the lower and upper class limits but there are only one number but I don't know what to do
The class mark of the modal class is: 25
How to solveFrom the given histogram, the following Frequency Distribution is obtained:
Class Interval Mid point Frequency
625-675 650 3
676-726 701 5
727 - 777 752 7
778 - 828 803 8
829 - 879 854 6
880 - 930 905 2
931 - 981 956 0
982 - 1032 1007 1
b. To find the lower class limit of the first class:
First class: 625
c. The upper limit of the first class is:
First class: 676
The class mark of the modal class is:
The modal class is: 803
The class mark is upper limit + lower limit/2
Thus, 828-778/2
=> 50/2
The class mark of the modal class is: 25
Read more about class mark here:
https://brainly.com/question/19473137
#SPJ1
Suppose that $2000 is invested at a rate of 4.6%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 6 years
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
$2,631.55
Step-by-step explanation:
To find the total amount in the account after 6 years, we can use the compound interest formula.
Compound Interest Formula[tex]\boxed{\sf A=P\left(1+\dfrac{r}{n}\right)^{nt}}[/tex]
where:
A = Final amount.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Time (in years).Given values:
P = $2,000r = 4.6% = 0.046n = 4 (quarterly)t = 6 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=2000\left(1+\dfrac{0.046}{4}\right)^{4 \cdot 6}[/tex]
[tex]\implies \sf A=2000\left(1+0.0115\right)^{24}[/tex]
[tex]\implies \sf A=2000\left(1.0115\right)^{24}[/tex]
[tex]\implies \sf A=2000\left(1.3157739...\right)[/tex]
[tex]\implies \sf A=2631.54794...[/tex]
Therefore, the total amount after 6 years is $2,631.55 rounded to the nearest cent.
ACTIVITY 2: Solve the following problems completely.
1) The amount is php 340,060
2) The rate is 13%
3) The amount is php 137,622
What is the compound interest?Compound interest is commonly used in many types of financial products, such as savings accounts, CDs, and loans.
1)
[tex]A = P(1 + r/n)^nt\\A = 80000( 1 + 0.16)^9.75\\A = php 340,060[/tex]
2)
[tex]12300 = 9750(1 + r)^2\\12300/9750 = (1 + r)^21.26 = (1 + r)^2\\ln 1.26 = 2 ln1 + r\\ln 1.26/2 = ln1 + r\\0.12 = ln1 + r\\e^{0.12} = 1 + r\\r = e^{0.12} - 1\\r = 0.13\\r = 13%[/tex]
3)
[tex]A = 50000(1 + 0.15/2)^2 * 7\\A = php 137,622[/tex]
Learn more about compound interest:https://brainly.com/question/14295570
#SPJ1
I really need hel with this please
The resulting matrix after row 1 is multiplied by 2 is given as follows:
[tex]\left[\begin{array}{ccc}14&-8&16\\-12&7&-13\end{array}\right][/tex]
How to do the row operation?The matrix in the context of this problem is defined as follows:
[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]
The first row is given as follows:
7, -4 and 8.
Multiplying the first row by two, we have that:
7 x 2 = 14.-4 x 8 = -8.8 x 2 = 16.(when we multiply a matrix by a constant, each element of the matrix is multiplied by the constant).
Hence the resulting matrix is given as follows:
[tex]\left[\begin{array}{ccc}14&-8&16\\-12&7&-13\end{array}\right][/tex]
(the second row was kept constant, while the first row was multiplied by 2).
Missing InformationThe matrix is:
[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]
More can be learned about operations with matrices at https://brainly.com/question/16901354
#SPJ1
Help with solving This graph
Answer:
r=4
center: (-2,4)
Step-by-step explanation:
The equation of a circle is:
(x-h)²+(y-k)²=r²
(h,k) would be the center of the circle and r would be length of the radius
To find r, we simply take the square root of 16, which would be 4
And the center is given in the equation