Find the amount (in $) of interest on the loan. Principal Rate (%) Time Interest $90,000 7 1 4 6 months   Step 1 Recall the formula to calculate the amount of interest earned, I, where P is the principal, R is the rate expressed as a decimal, and T is the time in years. I = PRT The rate was given to be  7 1 4%  but must be converted to a decimal before using in the above formula. As a decimal, we have  7 1 4% =  . Since the time is given to be 6 months, the time factor should be expressed as a fraction of a year. The numerator will be the given amount of time, and the denominator will be 12 months (1 year). This leads to the following value of T, as a fraction. T  =  given time in months 12 months     =    12

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 66SE: Kyoko has 10,000 that she wants to invest. Her bankhas several investment accounts tochoose from,...
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Question
Find the amount (in $) of interest on the loan.
Principal Rate (%) Time Interest
$90,000
7
1
4
6 months  
Step 1
Recall the formula to calculate the amount of interest earned, I, where P is the principal, R is the rate expressed as a decimal, and T is the time in years.
I = PRT
The rate was given to be 
7
1
4
%
 but must be converted to a decimal before using in the above formula. As a decimal, we have 
7
1
4
% =  .
Since the time is given to be 6 months, the time factor should be expressed as a fraction of a year. The numerator will be the given amount of time, and the denominator will be 12 months (1 year). This leads to the following value of T, as a fraction.
T  = 
given time in months
12 months
 
   = 
 
12
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