Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the compound amount for the deposit and the amount of interest ear…

Question

find the compound amount for the deposit and the amount of interest earned. $16,000 at 5% compounded monthly for 13 years. the compound amount after 13 years is $30,607.29. (do not round until the final answer. then round to the nearest cent as needed.) the amount of interest earned is $ . (do not round until the final answer. then round to the nearest cent as needed.)

Explanation:

Step1: Recall the interest - amount formula

The formula for the amount of interest $I$ is $I = A - P$, where $A$ is the compound - amount and $P$ is the principal amount.

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

We are given that $P=\$16000$ and $A = \$30607.29$.

Step3: Calculate the interest

$I=A - P=30607.29 - 16000=\$14607.29$

Answer:

$14607.29$