An amount of $500 is invested in an account paying 1.2% interest compounded annually. a

Chapter 3, Problem 46

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QUESTION:

An amount of $500 is invested in an account paying 1.2% interest compounded annually. a. Write a recursive definition for P(n), the amount in the account at the beginning of the nth year. b. After how many years will the account balance exceed $570?

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QUESTION:

An amount of $500 is invested in an account paying 1.2% interest compounded annually. a. Write a recursive definition for P(n), the amount in the account at the beginning of the nth year. b. After how many years will the account balance exceed $570?

ANSWER:

Step 1 of 2

An amount of $500 is invested in an account paying 1.2% interest compounded annually.

To write a recursive definition for ,  the amount in the account at the beginning of the nth year.

Since, the principal amount is $500, we can consider

The amount at the beginning of the second year is,

The amount at the beginning of the third year is

Proceeding in this manner, the amount at the beginning of nth year is

So, recursive definition for ,  the amount in the account at the beginning of the nth year is

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