Dylan invested $7200 in an account paying in interest rate of 2.3% compounded quarterly assuming no deposit or withdrawals are made how much money to the nearest dollar will be in the account after 12 years

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

Principal Amount (P): $7200

Interest rate ( r ): 2.3% or 0.023

Compounded Quarterly (n): 4

Term (t): 12 years

Formula for computing the compound interest:

A = P (1 + r/n)^nt

Solution:

Substitute the given values of P, r,n and t to the formula for computing the compound interest.

A = P (1 + r/n)^nt

A = $7200 ( 1 + 0.023 / 4)^(4)(12)

A = $7200 ( 1 + 0.023 / 4)^(48)

A = $7200 (1.00575)^48

A= $7200 (1.316806555)

A = $9481

Final answer:

$9481