9000 dollars is placed in an account with an annual interest rate of 7.75%. 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

Given $r = 7.75%=0.0775$, $P = 9000$, and $t = 18$.

Step3: Substitute values into the formula

$A=9000\times(1 + 0.0775)^{18}$. First, calculate $(1 + 0.0775)^{18}$. Let $x=(1 + 0.0775)^{18}$. Using a calculator, $x\approx3.95797$. Then, $A = 9000\times3.95797=35621.73$.

Answer:

$35621.73$