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shelby invests 100 dollars in a bank account that earns a fixed 2% interest comp

ID: 3114452 • Letter: S

Question

shelby invests 100 dollars in a bank account that earns a fixed 2% interest compounded annually. The amount in the account after t years is given by f(t)=100(1.02)t. Graph this function on your calculator in an appopriate window. Explain how you know this function has an inverse function. Use this graph to sketch an accurate graph of the inverse function in an appropriate window. Label quantities and scales on both axes. What are the domain and range of the inverse function? Pick one ordered pair on the graph of the inverse function, and describe what it tells you about the context.

Explanation / Answer

the inverse function of f(t) be P(a) , a be total amount and P(a) is years after which amount if a

P(a) = 0.0098 * a

domain of inverse function P is {100}

range of inverse function P is {natural numbers}

P(a) gives the number of years completed after investing with current total amount a