write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________​

Answers

Answer 1

Answer

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Explanation

Given

[tex]a = 11500[/tex] -- initial

[tex]b = 3[/tex] ---- every 14 years

Required

The exponential equation

The exponential equation is:

[tex]y =ab^T[/tex]

First, calculate the yearly rate.

Triples every 14 years, implies that:

[tex]b = 3[/tex] -- the rate

[tex]T=\frac{t}{14}[/tex] ---- time

So:

[tex]y =ab^t[/tex]

[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]

Hence:

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]


Related Questions

A box of 15 cookies cost nine dollars what is the cost for one cookie

Answers

Answer:

the cost for one cookie is $0.6(60 cents)

Step-by-step explanation:

9 divided by 15 = 0.6

Answer:

60 cents

Step-by-step explanation:

Cost of 15 cookies = $9

Cost of 1 cookie = 9/15

9/15=0.6

Helpp meeeeeeeeeeeeeeeeeee

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Answer:

perimeter = 48 Area = 144

Step-by-step explanation:

was that all?

What is the answer for (a^2+12c)÷7b-1

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Scenario: Relay Track Teams
Instructions:
View the video found on page 1 of this journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
Three teams are racing in the district meet. Below are the box plots representing the race times for each team. Analyze the data and decide who you think will win.

The Racers' Conjectures
1. Complete the table below to describe why each team member thinks his team will win the district meet. (1 point)
Team
Reason
Red





Yellow





Blue






2. Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning. (3 points: 1 point for each row of the chart)
Team
Yes or no
Reason
Red










Yellow










Blue











Analyzing the Data
3. Use the box plots to complete the five-number summary chart. (3 points: 1 point for each row of the chart)


Minimum
Lower quartile
Median
Upper quartile
Maximum
Red










Yellow










Blue











4. Look at the box plots and decide whether each team's distribution is symmetric or skewed. Circle your answers. (1 point)
Red
Negatively skewed
Symmetric
Positively skewed
Yellow
Negatively skewed
Symmetric
Positively skewed
Blue
Negatively skewed
Symmetric
Positively skewed

Below are the actual race times, in seconds, for each team. They are listed in numerical order, not in the chronological order of actual races.


Race 1
Race 2
Race 3
Race 4
Race 5
Race 6
Race 7
Race 8
Race 9
Red
47.5
42
48.5
44.5
47
41
48
43
49
Yellow
47.5
45.5
48.5
46.5
47
45
48
46
49
Blue
48.1
46.8
52
47.9
48
46
50
47
53

5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1 point for each team)
Red




Yellow




Blue





6. How do the three teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking. (1 point)






7. How do the three teams rank based on median times? Explain your ranking. (1 point)








8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1 point)




9. The interquartile range for the red team's race times is 5 seconds. Find the IQR for the yellow and blue teams. (2 point)




10. What do the interquartile ranges (IQRs) tell you about how the teams race? Explain your thinking. (1 points)








Making a Decision
11. Now that you've analyzed the data, it's time to make a decision. Who do you think will win the district meet? Describe how you think each team will do, and explain your reasoning. (3 points)
Red:






Yellow:






Blue:

Answers

Answer:

Here guys!! The answer is attached as a PDF.

Step-by-step explanation:

Answer:

You can not give that angel a brainiest because there are 2 answers

Step-by-step explanation:

This man is an absolute lifesaver to me and many other people from the looks of it Hurry up and give him the brainiest.

Thank you sooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo much sir you have saved me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

I had to do this so that he may receive the brainiest and because the comments were closed.

Find a positive angle less than 360° that is coterminal with the given angle.
410°

Answers

Answer:

50°

Step-by-step explanation:

Subtract 360° from 410°

50° is positive, less than 360°, and is a coterminal of 410°

i believe thats 50°

I’m stuck on this problem helpp

Answers

The 3rd one which is c

For which values of s would the product of s/5 ×10 be greater than 10?

6 and 7

4 and 5

2 and 3

0 and 1

Answers

Answer:

we will

turn around and find out

Step-by-step explanation:

didn't find this anywhere. it might help others too. please help​

Answers

The answer is B! hope that helped

hep me with this question

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x=3 for both of the questions

what is 3 1/3x1 1/7 ​

Answers

Answer:

3 17/21

Step-by-step explanation:

Pls help with question.

Answers

Answer:

4a) 4 1/6

4b) 2

5a)  36.424

5b) 5.4

Step-by-step explanation:

When multiplying or dividing by mixed numbers, convert them into improper and just do it from left to right for each numerator and denominator

CAn someone please help me with this? I been getting bots all day

Answers

the answer is C i’m pretty sure because you can divide y by 15 and get x

help i will give brainliest

Answers

0.329, 127.5, and -89 is rational. Square root of 101 is irrational.

In which step did the student make the first error?
step 1
step 2
step 3
step 4

Answers

Answer:

there is no picture for us to see so we can't answer it.

Step-by-step explanation:

sorry

Answer:

C: step 2 (Took the test on edge got 100%)

Step-by-step explanation:

Your question was incomplete you have forgotten to include the graph necessary to answer.

What is the measure of A?
А [?] degrees
B 87
C 35

Answers

Answer:

B 87

Step-by-step explanation:

Answer: 58

explanation: Acellus

The area of the triangle below is 44.59 square centimeters. What is the length of the
base?
9.1 cm

Answers

Answer:

6  cm.

Explanation:  6

cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a = 1 2 h b

→ ( h = height ,  b= base )

We know:

a = 24 h = 8

So we can substitute them in and find  

Multiply by sides by 2 and then divide:

The base of the triangle is  

6 cm. -step explanation:

question is included in the picture​

Answers

Answer:

Step-by-step explanation:

d is the right answer

Answer:

tis d hope this helped have a great day

Step-by-step explanation:

Find the area of the regular polygon. Round to the nearest tenth.

Answers

Answer:

i dint know sorry

Step-by-step explanation:

what is the givien x-value that can used to make the prediction​

Answers

Answer:

haha there is no question

Step-by-step explanation:

aww please check if there are more expect around to answer

Solve for x and show work!

Answers

Answer: x=8

Step-by-step explanation:

We know that it is a square, so the diagonals divide the four triangles evenly.

A whole circle will have 360°. When it is divides into 4, each angle will be

360/4=90°

The vertex of each triangle will be 90°

And the given vertex equation is 8x+26

8x+26=90

8x+26-26=90-26

8x=64

x=8

Hope this helps!! :)

Please let me know if you have any questions

For what values of x is the perimeter of the figure greater than 112 ​meters?

Select the correct choice below and fill in the answer box to complete your choice.

Answers

Answer:

John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? vv

Step-by-step explanation:

For the function g(x) = 10 VX-2, what is the inverse function?
o pr}(X) = 7+2
O q'(x) = -2
O 0760) = (+)+2
O 011(x) = (+) --

Answers

Answer:

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 10\sqrt{x - 2[/tex]

Required

Determine the inverse function

[tex]g(x) = 10\sqrt{x - 2[/tex]

Replace g(x) with y

[tex]y = 10\sqrt{x -2[/tex]

Swap the positions of x and y

[tex]x = 10\sqrt{y -2[/tex]

Divide through by 10

[tex]\frac{x}{10} = \sqrt{y - 2[/tex]

Square of both sides

[tex]\frac{x^2}{100} = y - 2[/tex]

Make y the subject

[tex]y = \frac{x^2}{100} +2[/tex]

Replace y with g'(x)

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]

Write and simplify an algebraic expression to represent the area of the shaded region. The image is below.
Plz solve with a full proces. God bless u very much. I will give brainliest

Answers

[tex](x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9[/tex]

Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Paisley to end up with $74,000?

Answers

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7

A car journey is in two stages Stage1 the car travels 110 miles in 2 hours Stage 2 the car travels 44 miles at the same average speed as stage 1 Work out the time for stage 2 Give you answer in minutes.

Answers

9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

The average speed for stage 1 is ...

  speed = distance/time = (110 mi)/(2 h) = 55 mi/h

Then the time for stage 2 is ...

  time = distance/speed = (44 mi)/(55 mi/h) = (4/5 h)(60 min/h) = 48 min

The time for stage 2 is 48 minutes.

Answer:

Solution :-

We know that

SpeeD = Distance/Time

Speed = 110/2

Speed = 55 mi/hr

For, 2

Speed = 44/55

Speed = 4/5

Speed = 48 min

[tex] \\ [/tex]

A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?
a. The consultant forms groups of workers based on the workers' shifts. Then, he selects workers at random from each group.
b. All of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first workers from the second floor to arrive at work on a particular day.
c. The consultant forms groups of workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses groups and selects all of the workers in these groups.

Answers

Answer:

A. the consultant forms groups of workers based on the workers' shifts. then, he selects workers at random from each group.

Step-by-step explanation:

Sana nakatulong

Answer:

A

Step-by-step explanation:

100 Pts! PLS HELP ASAP!!!

Find the lateral area of this cone.
Leave your answer in terms of 7.
15cm
178 cm
LA = [ ? ]cm2

Answers

Answer:

I’m pretty sure it’s basexHeight

Step-by-step explanation:

But other than that... i don’t know

Please don’t report me... I’m sorry for the :( answer

Answer:

15x8= 120 Squared is 10.95445115010332

Step-by-step explanation:

Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10

Answers

Answer:

2×2×5×5

Step-by-step explanation:

1st of all they are prime factors

if multiplied give us 100

Answer:

2 × 2 × 5 × 5 is the correct one

Step-by-step explanation:

Got it right on edge

x = 12 - 3y
3x + 9y = 24

Answers

Answer:

Cool

Step-by-step explanation:

Thanks !!!

The product of 2 and 1 and 1/2 is ______ 2.


Greater than
Equal to
Less than
No answer text provided.

no link plz

Answers

Answer:

It is Greater Than because 2 x 1.5 = 3

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