omar has $8,815 in an account that earns 10% interest compounded annually. to the nearest cent, how much…

omar has $8,815 in an account that earns 10% interest compounded annually. to the nearest cent, how much will he have in 1 year?

omar has $8,815 in an account that earns 10% interest compounded annually. to the nearest cent, how much will he have in 1 year?

Answer

Explanation:

Step1: Identify the compound - interest formula

For annual compounding, the formula is $A = P(1 + r)$, where $A$ is the final amount, $P$ is the principal amount, and $r$ is the annual interest rate.

Step2: Identify the values of $P$ and $r$

$P=$8815$ and $r = 0.10$ (since $10%=0.10$).

Step3: Substitute the values into the formula

$A=8815\times(1 + 0.10)=8815\times1.10$.

Step4: Calculate the final amount

$A = 9696.50$.

Answer:

$9696.50$