If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest would you expect Lucy to be charged in a typical month
Accepted Solution
A:
$9.75Further explanation
Given:
The typical balance on Lucy's credit card is $650.The interest rate (APR) on her credit card is 18%.Question: How much in interest would you expect Lucy to be charged in a typical month?
The Process:
This problem includes the type of determining simple interest.
[tex]\boxed{ \ I = P \times r \times t \ }[/tex]
where,I = simple interestP = principal (initial amount)
r = annual interest rate
t = time (in years)
This time we will find out how much in interest we would expect to be charged in a typical month.The data is as follows:
P = 650r = 18% or [tex]\frac{18}{100}[/tex] or 0.18
t = [tex]\frac{1}{12}[/tex] year (one month)Let us calculate how much in interest we would expect to be charged in a typical month.[tex]\boxed{ \ = 650 \times \frac{18}{100} \times \frac{1}{12} \ }[/tex]
[tex]\boxed{ \ = 65 \times \frac{3}{10} \times \frac{1}{2} \ }[/tex]
[tex]\boxed{ \ = \frac{195}{10} \times \frac{1}{2} \ }[/tex]
[tex]\boxed{ \ = \frac{97.5}{10} \ }[/tex]
[tex]\boxed{ \ = \frac{975}{100} \ }[/tex]
Thus the amount of interest we would expect Lucy to be charged in a typical month is $ 9.75._ _ _ _ _ _ _ _ _ _Notes We must be able to distinguish between simple and compound interest. Please learn about this in the link attached below.
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