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Exponential Functions & Compound Interest

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Presentation on theme: "Exponential Functions & Compound Interest"— Presentation transcript:

1 Exponential Functions & Compound Interest
Connect Four Activity

2 What is the multiplier for a 2.3% Decay?
.977

3 What is the multiplier for a .3% Growth?
1.003

4 Is the following function an exponential growth or an exponential decay? f(x) = 0.35(1.2)x

5 Is the following function an exponential growth or an exponential decay? f(x) = 6.8(.2)x

6 A man borrows $10,000 at 8½ % interest per year, compounded monthly
A man borrows $10,000 at 8½ % interest per year, compounded monthly. How much will the man have to repay after 3 years? $12,893.02

7 Foxwood Savings Bank pays 4% interest that is compounded annually
Foxwood Savings Bank pays 4% interest that is compounded annually. If the original investment is $1100, determine the balance after 6 years. $

8 Riverwood Savings Bank is trying to beat out Foxwood for customers
Riverwood Savings Bank is trying to beat out Foxwood for customers. They have introduced an account that pays 4% interest, but interest that is compounded continuously. If the investment is again $ , find the balance after 6 months. $

9 Riverwood introduced an account that pays 4% interest, but interest that is compounded continuously. If the investment is again $ , find the balance after 6 years. $

10 You invest $3300 in an account that compounds its interest continuously. What will you have in your account at the end of 8 years in the interest rate is 5½ % ? $

11 How long will it take an investment of $500
How long will it take an investment of $ to triple in value in an account that pays 4% interest compounded annually? (rounded to the nearest year) 29 years

12 Collier goes to the bank on Monday only to discover that he has a grand total of $5600 in his account. The money has been in the account for 3.5 years, and interest has been compounding continuously since he originally invested it there. What was the principal amount Collier originally invested at 5% ? $

13 A necklace is appraised at $6300
A necklace is appraised at $ If the value of the necklace has increased at an annual rate of 7%, how much was the necklace worth 15 years ago? $


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