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25.01.2022 •
Mathematics
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
Solved
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Ответ:
in this image there are the asnwers from some of your questions
question 11. 22554.45
Step-by-step 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.
$28,611.75
question 9.
12,503 people
Step-by-step 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
Ответ: