Since APR interest is a simple interest rate, we are going to use the formula for calculating simple interest:

where

is the final amount after

years

is the initial investment

is the interest rate in decimal form

is the number of years
Mathematical steps for solving the problem:We can infer from our problem that you are going to invest $800-$640=$160 in your savings account, so

. To convert the interest rate to decimal form, we are going to divide the rate by 100%

. Since you are leaving the money in your savings account for a year,

. Lets replace those values in our formula:

![A=160[1+(0.045)(1)]](https://img.qammunity.org/2019/formulas/mathematics/high-school/5uga2a51akxqrvsn6tecm6u6b81y06ju13.png)



We can conclude that your total savings after buying the refurbished laptop are:
$167.2