9000 dollars is placed in an account with an annual interest rate of 8%. how much will be in the account…

9000 dollars is placed in an account with an annual interest rate of 8%. how much will be in the account after 17 years, to the nearest cent?

9000 dollars is placed in an account with an annual interest rate of 8%. how much will be in the account after 17 years, to the nearest cent?

Answer

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 $r = 8%=0.08$, $P = 9000$, and $t = 17$.

Step3: Substitute values into the formula

$A=9000\times(1 + 0.08)^{17}$. First, calculate $(1 + 0.08)^{17}$. Using a calculator, $(1.08)^{17}\approx3.700018$. Then, $A = 9000\times3.700018$. $A=33300.162$.

Answer:

$$33300.16$