Question

Exponential Growth & Decay - Guided Practice

#2 - Find the balance in the account after the given period.

$500 principal earning 4% compounded quarterly, after 10 years

Group of answer choices

$447.34

$744.43

$733.43

$474.34

Flag question: Question 2
Question 220 pts
Exponential Growth & Decay - Guided Practice

#3 - Find the balance in the account after the given period.

$6,500 principal earning 2.8% compounded monthly, after 2 years

Group of answer choices

$6,337.94

$8,637.49

$6,373.49

$6,873.94

Flag question: Question 3
Question 320 pts
Exponential Growth & Decay - Guided Practice

#9 - A small town currently has a population of 15,000. Each year the population decreases by 2.25%. What will the population be in 8 years?

Group of answer choices

17,922

14,343

14,982

12,503

Flag question: Question 4
Question 420 pts
Exponential Growth & Decay - Guided Practice

#10 - Robert invested $25,000 in an account that pays 4.5% interest compounded weekly. After 3 years, what is the balance of his account?

Group of answer choices

$70,877.18

$95,877.18

$28,611.75

$3,611.75

Flag question: Question 5
Question 520 pts
Exponential Growth & Decay - Guided Practice

#11 - A new car costs $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year for the 10 years they are planning to build the car. The cost to build the car can be modeled by the function f(t) = 15,000(1.06)t, where t is the number of years after 2010. How much will it cost the company to build the car in 2017?

Group of answer choices

$25,342.18

$21,228.79

$23,980.72

$22,554.45

Answer 1

$744.43, #3, and 17,922 ok

Answer 2

in this image there are the asnwers from some of your questions

question 11. answer: 22554.45

Explanation:

Since we are given a function to use to find the cost of the car, we first need to find the difference in the years 2017 and 2010

2017 - 2010 = 7

So our value for t will be 7.

We can use the formula because it still falls under the expected increase within the 10 year range.

So now let's substitute t in the function.

So it will cost the company $22554.45 to build the car in 2017.

10. answer:

$28,611.75

question 9.

Answer: 12,503 people

Explanation:

This is an exponential decrease so to find the population in 8 years you have to use a future value formula:

= Amount * (1 + rate) ^ number of years

= 15,000 ( 1 + (-2.25%)) ⁸

= 15,000 * (1 - 2.25%)⁸

= 12,503.32

= 12,503 people