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Adita invested money in an account where interest is compounded every year. She made no withdrawals or deposits.

The function A(t) = 728(1 + 0.04)t represents the amount of money in the account after t years. How much money did Adita originally invest?

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rgwoot
Sent an attachment with explanations. P=initial amount deposited. P=728.
Ver imagen rgwoot
mathjohndough

Answer:

$728

Step-by-step explanation:

The formula for the amount of money available at any time in years is given by the formula,

[tex]A(t)=728(1+0.04)^t.[/tex]

To determine the amount of money that Adita initially invested, we have to find out the value of the investment when t=0. This calculation is shown below,

[tex]A(t)=728(1+0.04)^t\\A(0)=728(1+0.04)^0\\A(0)=728(1)=728.[/tex]

The original value of the investment is $728.

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