3400 dollars is placed in an account with an annual interest rate of 8.25%. 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 $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the number of years.

Step2: Convert the interest rate to decimal

Given $r = 8.25%=0.0825$, $P = 3400$, and $t = 25$.

Step3: Substitute the values into the formula

$A=3400\times(1 + 0.0825)^{25}$. First, calculate $(1 + 0.0825)^{25}$. Let $x=(1 + 0.0825)^{25}=1.0825^{25}$. Using a calculator, $1.0825^{25}\approx7.30497$. Then, $A = 3400\times7.30497$. $A=3400\times7.30497 = 24836.898$.

Answer:

$$24836.90$