Practice with Exponential Growth and Decay Applications 1. The mice population is 25,000 and is decreasing by 20% each year. Write a model for this situation.

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Practice with Exponential Growth and Decay Applications
1. The mice population is 25,000 and is decreasing by 20% each year. Write a model for this situation.
2. Given the model for #1, what will be the mice population after 3 years?
The number of mosquitoes at the beach has tripled every year since 1999. In 1999, there were 2,500
mosquitoes. Write a model for this situation.
3.
4. Given the model for #3, how many mosquitoes will there be in 2005?
5. Given the exponential modelf (x) = 200(.80)*, tell whether the model represents exponential
growth or decay, name the growth/decay factor, and name the growth/decay percent.
6. I bought a car for $25,000 but its value is depreciating at a rate of 10% per year. How much will my car
be worth after 8 years?
7. You deposit $1,500 in an account that pays 5% interest compounded annually. Find the balance after 6
years.
8. How much more money would I earn if the interest in #7 is compounded monthly instead of annually?
263
Transcribed Image Text:Practice with Exponential Growth and Decay Applications 1. The mice population is 25,000 and is decreasing by 20% each year. Write a model for this situation. 2. Given the model for #1, what will be the mice population after 3 years? The number of mosquitoes at the beach has tripled every year since 1999. In 1999, there were 2,500 mosquitoes. Write a model for this situation. 3. 4. Given the model for #3, how many mosquitoes will there be in 2005? 5. Given the exponential modelf (x) = 200(.80)*, tell whether the model represents exponential growth or decay, name the growth/decay factor, and name the growth/decay percent. 6. I bought a car for $25,000 but its value is depreciating at a rate of 10% per year. How much will my car be worth after 8 years? 7. You deposit $1,500 in an account that pays 5% interest compounded annually. Find the balance after 6 years. 8. How much more money would I earn if the interest in #7 is compounded monthly instead of annually? 263
9. If I have $500 in my account after 4 years investing at 2.5% compounded quarterly, how much money
did I start with?
10. How much money would be in an account after two and a half years if you deposited
$25,000 in a mutual fund which compounds interest at 1.25%;
a. Annually
b. Semi-annually
c. Quarterly
d. Monthly
e. Daily
11. Zach is beginning high school and has $5,000 in his saving account. How much more money
does he need to add to his $5,000 so that a CD paying 5% compounded monthly returns
$10,000 when he finishes college in 8 years?
264
Transcribed Image Text:9. If I have $500 in my account after 4 years investing at 2.5% compounded quarterly, how much money did I start with? 10. How much money would be in an account after two and a half years if you deposited $25,000 in a mutual fund which compounds interest at 1.25%; a. Annually b. Semi-annually c. Quarterly d. Monthly e. Daily 11. Zach is beginning high school and has $5,000 in his saving account. How much more money does he need to add to his $5,000 so that a CD paying 5% compounded monthly returns $10,000 when he finishes college in 8 years? 264
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