3600 dollars is placed in an account with an annual interest rate of 9%. how much will be in the account…

Explanation:

Step1: Identify the compound - interest formula

The compound - interest formula is $A = P(1 + r)^t$, where $A$ is the amount of money in the account after $t$ years, $P$ is the principal amount (initial amount of money), $r$ is the annual interest rate (in decimal form), and $t$ is the number of years.

Step2: Convert the interest rate to decimal form

Given $r = 9%=0.09$, $P = 3600$, and $t = 25$.

Step3: Substitute the values into the formula

$A=3600\times(1 + 0.09)^{25}$. First, calculate $(1 + 0.09)^{25}$. Using a calculator, $(1.09)^{25}\approx8.62308066$. Then, multiply by the principal: $A = 3600\times8.62308066\approx31043.09$.

Answer:

$31043.09$