6900 dollars is placed in an account with an annual interest rate of 8.25%. how much will be in the account…

Explanation:

Step1: Identify 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

$r=8.25%=0.0825$, $P = 6900$, and $t = 26$.

Step3: Substitute values into the formula

$A=6900\times(1 + 0.0825)^{26}$. First, calculate $(1 + 0.0825)^{26}$. Let $x=(1 + 0.0825)^{26}=1.0825^{26}$. Using a calculator, $1.0825^{26}\approx7.91777$. Then, $A = 6900\times7.91777$. $A=6900\times7.91777 = 54632.613$.

Answer:

$$54632.61$