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

Question

The function `A(t)=827(1+0.04)^{t}`represents the amount of money in the account after `t` years.

How much money did Kit originally invest?

Answer 1

In the function \( A(t) = 827(1 + 0.04)^{t} \), the term \( 827 \) represents the initial amount of money that Kit invested.

The function shows that the amount of money in the account grows based on an initial investment of \( 827 \) dollars, compounded annually at an interest rate of \( 4% \) (or \( 0.04 \)).

Therefore, the amount of money Kit originally invested is \( \boxed{827} \) dollars.