2900 dollars is placed in an account with an annual interest rate of 9%. 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 $r = 9%=0.09$, $P = 2900$, and $t = 13$.

Step3: Substitute values into the formula

$A=2900\times(1 + 0.09)^{13}$. First, calculate $(1 + 0.09)^{13}$. Using a calculator, $(1.09)^{13}\approx3.065805$. Then, $A = 2900\times3.065805$. $A=2900\times3.065805 = 8890.8345$.

Answer:

$$8890.83$