You deposited $3,000 in the bank in 2019. It is compounded annually at 4%. How much money will you have in 9 years (in 2028)?
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ANSWER
[tex]\begin{equation*} \$4,269.94 \end{equation*}[/tex]EXPLANATION
To find the amount of money that you will have in 9 years, apply the formula for annually compounded amount:
[tex]A=P(1+r)^t[/tex]where P = principal
r = interest rate
t = number of years
Hence, the amount after 9 years is:
[tex]\begin{gathered} A=3000(1+\frac{4}{100})^9 \\ A=3000(1+0.04)^9=3000(1.04)^9 \\ A=\$4,269.94 \end{gathered}[/tex]That is the answer.