Use this graph to write an explicit function to represent the data and determine how much money Amy earned in week 5.

A. f(n) = 5(3)^n + 1; f(5) = 3,645

B. f(n) = 5(3)^n; f(5) = 1,215

C. f(n) = 5(3)^n - 1; f(5) = 405

D. f(n) = 3(3)^n - 1; f(5) = 81​

Use This Graph To Write An Explicit Function To Represent The Data And Determine How Much Money Amy Earned

Answers

Answer 1

Answer:

C is the correct answer

Step-by-step explanation:

I am only answering this to award the other person brainliest. I also know that this is right because I *just* took the test and I got a 100%

Answer 2

An explicit function to represent the data is [tex]f(n)=5(3)^{n-1}[/tex], f(5)=405. Therefore, option C is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Using [tex]y=a(b)^x[/tex], where a is x-intercept and b is the growth factor

The points started from n = 1 not zero and initial value found when the exponent = 0

So, the exponent must be n-1

Here, a=5

So, [tex]y=5(b)^{x-1}[/tex]

Substitute (x, y)=(2, 15) in above obtained equation

That is, [tex]15=5(b)^{2-1}[/tex]

⇒ b=3

Now, the function is [tex]y=5(3)^{x-1}[/tex]

So, [tex]f(n)=5(3)^{n-1}[/tex]

Now, [tex]f(5)=5(3)^{5-1}[/tex]

⇒ [tex]f(5)=5\times81[/tex]

⇒ [tex]f(5)=405[/tex]

An explicit function to represent the data is [tex]f(n)=5(3)^{n-1}[/tex], f(5)=405. Therefore, option C is the correct answer.

To learn more about the function visit:

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Related Questions

Consider the function.
flx) = 2x +12
What is the y-intercept of f'(x)?
O-16
0 – 12
tiw
3
4
3

Answers

12 is the correct answer.

The y intercept of the inverse function of f(x) = 3/4 x + 12 is -16, option A is correct.

To find the y-intercept of  f⁻¹(x), we can start by finding the inverse function f⁻¹(x) first.

Let y = f(x) = 3/4 x + 12

To find f⁻¹(x), we can first swap x and y, and then solve for y:

x = 3/4 y + 12

x - 12 = 3/4 y

4/3 (x - 12) = y

Therefore, f⁻¹(x) = 4/3 (x - 12)

The y-intercept of f⁻¹(x) is the value of f⁻¹(x) when x = 0.

f⁻¹(0) = 4/3 (0 - 12)

= -16

Hence, the y intercept of the inverse function of f(x) = 3/4 x + 12 is -16, option A is correct.

To learn more on Functions click:

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Consider the function f(x)=3/4 x + 12

What is the y intercep of f⁻¹(x)

(A) -16

(B) -12

(C) -3/4

(D) 4/3

Volume: 312 cubic inches
Height: 13 inches

What is the Top Area of the 4-sided prism shown below? (in square inches)

Answers

Answer:

Area of the top = 24 square inch

Step-by-step explanation:

Volume of the given prism = Area of the base or top of the prism × Height of the prism

By substituting the values in the formula,

312 = Area of the top × 13

Area of the top = [tex]\frac{312}{13}[/tex]

Area of the top = 24 square inch

The Department of Homeland Security wants to test a computer virus that it has developed to combat hackers. They plan to test run the virus on randomly selected computers with pre-set "hacker" programs.

choose one:

-census

-cluster sampling

-convenience sampling

-simple random sampling

-stratified sampling



choose one:

-experiment

-observational study

-simulation

-survey

Answers

Answer:

Simple random sampling  

Observational study

Step-by-step explanation:

Since in the given situation it is mentioned that department wants to test the computer virus and have to run the virus on the random selected computers so here the simple random sampling would be done and based on the simple random sampling the observational study would be done

Therefore the above represent the answer

Answer:it is simple random sampling but the collection method is not observational study I got that part wrong

Step-by-step explanation:

What is a logical mathematical argument in which every statement of fact is supported by a reason?

Answers

Answer:

a

Step-by-step explanation:

Shawn wants to construct a fence around his playground. The playground is circular in shape with a radius of 13ft. What is the length of fencing material he will need to fence one complete circle around his playground?

Use 3.14 for the value of π

Answers

Answer:

circumference of circle =2πr=2×3.14×13²=1061.32ft

1061.32 is needed to fence one complete circle around his playground.

30 Between what two standard deviations of a normal distribution contain 68% of the data?
a) one below and one above
b) two below and two above
d) zero and two above
C) two below and zero

Answers

d

man i think its d or b maby

Answer: the answer is A (one below and one above)

Step-by-step explanation:

68% of data falls within ONE standard

95% falls within two standard deviation

And 99.7% falls within 3

who watches hunter x hunter anime

Answers

Answer:

not me what is it??

Step-by-step explanation:

Answer:

I sometimes do why?

Please help me with this

Answers

Answer:

8

Step-by-step explanation:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. Therefore if you look at the chart you can see that one more people get 8 than 9, 10, or 5.

Hope this helps

Please inform me if I have made a mistake, I enjoy learning from my mistakes:)

Maddie

WILL MARK BRAINLIEST! Solve for X in the provided picture. Thank you!

Answers

Answer:

122

Step-by-step explanation:

better make me brainliest

What is the slope of the line below?
(-4,6)
(-4,2)

Answers

Answer:

A undefined

Step-by-step explanation:

RQ= x+1 QP=7 RP=2x+8 solve for RP

Answers

Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

I need help on this question

Answers

answer is A im a full course teacher for this subject
the answer would be A

I NEED HELP WITH THIS QUESTION QUICK PLEASE!!

Answers

Answer:

y=5x+6

Step-by-step explanation:

If a triangle is reflected across the y-axis, what are the coordinates of the image of point F? Use FGH to answer the question.

Answers

The answer is D. You just move 10 units down from point F.

Dylan delivers parcels.
On Thursday, he delivered 10% more parcels than on Wednesday.
On Friday, he delivered 50% fewer parcels than on Thursday.
On Friday, he delivered 77 parcels.
Calculate the number of parcels delivered by Dylan on Wednesday.

Answers

Answer:

Dylan delivered 140 parcels on Wednesday.

Step-by-step explanation:

On Wednesday:

On Wednesday, he delivered x parcels.

Thursday:

10% more than Wednesday, so 100 + 10 = 110% of x = 1.1x

Friday:

50% pless than on Thursday, so 100 - 50 = 50% of 1.1x = 0.5*1.1*x.

THis is equals to 77. So

[tex]0.5*1.1x = 77[/tex]

[tex]x = \frac{77}{0.5*1.1}[/tex]

[tex]x = 140[/tex]

Dylan delivered 140 parcels on Wednesday.

cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get

Answers

Answer:

7

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

Can someone please help me with this? I only need to know 12-14

Answers

Answer:

12. Not Equal

13. Not Equal

14. Equal

How many different 12 member juries can be chosen from a pool of 20 people?

Answers

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

Can someone help me on problem one and if you can and only if you want can you also help me on two btw please show work I will give branily crown thing.

Answers

Answer:

17/15 _53/6

Step-by-step explanation:

The other is problem 1 and the other is problem 2

PROBLEM #1:

As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: [tex]2\frac{1}{3} - 1\frac{1}{5}[/tex].

To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: [tex]2\frac{5}{15} - 1\frac{3}{15}[/tex].

All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 ([tex]1\frac{2}{15}[/tex]).

PROBLEM #2:

For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: [tex]-3\frac{1}{2} + -5\frac{1}{3}[/tex].

Our first step is to get common denominators. In this case, that common denominator will be 6: [tex]-3\frac{3}{6} + -5\frac{2}{6}[/tex].

Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 ([tex]-8\frac{5}{6}[/tex]).

Hope this helps!! :)

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y=1/2x

Step-by-step explanation:

math is math ‍

The Bath and Bodyworks hand soap is on sale for $3.25. If this price represents a 50% discount from the
original price, what is the original price to the nearest cent?

Answers

Answer:

$4.875 Rounded to nearest cent:$4.88

Step-by-step explanation:

50%=0.50

3.25*0.50=1.625

$3.25+$1.625=$4.875

The rule is five or more add one more. So add one to the 7 making it 8. Make sure to take out the five. And you get $4.88

Answer:

$6.50

Step-by-step explanation:

(I submitted and it was right)

3.25 = 50%

3.25 + 3.25 = 6.50

6.50 = 100%

Don't over think it! Best of luck!

What is the value of w?
O 5 units
O 7 units
O 14 units
O 15 units

Answers

Answer:

14

2× 14 is 28 and that's the perimeter of the rectangle

If the area of a rectangular garden is 6x^2 - 9x what is the length if the width is 3x ?

Answers

Answer:

A =L×W

Given,

A=6x²-9x

W=3x

Substituting into the main equation

6x²-9x=L×(3x)

3x(2x-3)=L×(3x)

divide both sides by 3x

2x-3=L

L=2x-3

‏In Problems 1 and 2 use Euler's method to obtain a four decimal approximation of the indicated value . Carry out the recursion of ( 3 ) by hand , first using h = 0.1 and then using h = 0.05 .

y’ = x + y^2 , y(0); y(0.2)

Answers

I saw on your other question that you mention y (0) = 0. Let

f(x, y) = x + y ²

Now consider the recurrences in Euler's method,

[tex]\begin{cases}x_0=0\\x_n=x_{n-1}+h&\text{for }n>0\end{cases}[/tex]

[tex]\begin{cases}y_0=y(x_0)=0\\y_n=y_{n-1}+f(x_{n-1},y_{n-1})h&\text{for }n>0\end{cases}[/tex]

where h is the step size.

We then approximate y (0.2) in ...

• ... 2 steps for h = 0.1 :

[tex]\begin{cases}x_0=0\\y_0=0\end{cases}[/tex]

[tex]\begin{cases}x_1=x_0+0.1=0.1\\y_1=y_0+f(x_0,y_0)\times0.1=0\end{cases}[/tex]

[tex]\begin{cases}x_2=x_1+0.1=0.2\\y_2=y_1+f(x_1,y_1)\times0.1=0.01\end{cases}[/tex]

so that y (0.2) ≈ 0.01;

• ... 4 steps for h = 0.05 :

[tex]\begin{cases}x_0=0\\y_0=0\end{cases}[/tex]

[tex]\begin{cases}x_1=x_0+0.05=0.05\\y_1=y_0+f(x_0,y_0)\times0.05=0\end{cases}[/tex]

[tex]\begin{cases}x_2=x_1+0.05=0.1\\y_2=y_1+f(x_1,y_1)\times0.05=0.0025\end{cases}[/tex]

[tex]\begin{cases}x_3=x_2+0.05=0.15\\y_3=y_2+f(x_2,y_2)\times0.05=0.0075003125\end{cases}[/tex]

[tex]\begin{cases}x_4=x_3+0.05=0.2\\y_4=y_3+f(x_3,y_3)\times0.05=0.0150031252343798828125[/tex]

so y (0.2) ≈ 0.015.

can someone find the slope intercept equation thanks and can you explain it

Answers

Answer:

the slope is -2x

Step-by-step explanation:

Its negative because the line is going towards the negatives, and 2 because the slope is rise over run. the line is going up 2 and over 1, which means 2/1, which simplifies to 2

Answer:

-2x -2

Step-by-step explanation:

The slope is negative because it is going down instead of up

y intercept is -2

Use rise over run

Rise is y x is run select 2 points and check rise/run

Slope= - x -(y)

-2

I am thinking of a number if you add two to the number then double it, you get ten. what is the number?​

Answers

Answer:

Difficulties regarding the emotions of your body.

Step-by-step explanation:

Difficulties regarding the emotions of your body.

Answer:

3

Step-by-step explanation:

Do this backwards.

10 ÷ 2 = 5

5 - 2 = 3

Extra: In order to solve questions like these, you might want to change it in the opposite way. For example, if they add a number , you subtract that number in your working.

A picture frame is 1
1/2inches wider than the picture it holds.
Let y = width of the frame.
Let p = width of the picture.
Drag the numbers to complete the table. Numbers may be used once or not at all.

Answers

Answer:

im a potato

Step-by-step explanation:

12ft long, 3.5ft width, 1.25ft tall. What is the volume?

Answers

Answer:

52.5

Step-by-step explanation:

You need to multiply l*w*h (length times width times height). In this case, the equation would be 12*3.5*1.25, which would equal 52.5.

Answer:

52.5

Step-by-step explanation:

length*width*hight

l*w*h

What is the value of the expression below when n =
2.4?
An X 2 + 13

Answers

Answer:

34 because if u add the to the y

Step-by-step explanation: it would give u 34

Multiply (2x+5) times (x^2+6x-10)

Answers

Answer:

2x^3+17x^2+10x−50

Step-by-step explanation:

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