A person deposits $1000 in an account that yields 9%

Chapter 1, Problem 18E

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QUESTION:

Problem 18E

A person deposits $1000 in an account that yields 9% interest compounded annually.

a) Set up a recurrence relation for the amount in the account at the end of n years.

b) Find an explicit formula for the amount in the account at the end of n years.

c) How much money will the account contain after 100 years?

Questions & Answers

QUESTION:

Problem 18E

A person deposits $1000 in an account that yields 9% interest compounded annually.

a) Set up a recurrence relation for the amount in the account at the end of n years.

b) Find an explicit formula for the amount in the account at the end of n years.

c) How much money will the account contain after 100 years?

ANSWER:

Problem 18E

A person deposits $1000 in an account that yields 9% interest compounded annually.

a) Set up a recurrence relation for the amount in the account at the end of n years.


b) Find an explicit formula for the amount in the account at the end of n years.


c) How much money will the account contain after 100 years?

Solution:

Step 1:

In this problem, we have to set up a recurrence relation and we have to find the explicit formula for the deposit 1000$ by a person in an account that yields 9% interest compounded annually.

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