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Simplify the expression.
Answer:
A ) Hence The interest for the car loan is $ 4,310
B ) Hence The interest for the car loan is $ 3,152
Step-by-step explanation:
Given as :
The loan for the car = $ 20,000
The rate of interest of car loan = 5 % compounded annually
A ) The period of loan = 48 months = 4 years
Let the interest of the loan = CI
<u>From compounded method</u>
Amount = Principal ×
Or, Amount = $ 20,000 ×
Or, Amount = $ 20,000 ×
Or, Amount = $ 20,000 × 1.2155
∴ Amount = $ 24310
So, Interest = Amount - Principal
Or, CI = $ 24,310 - $ 20,000
∴ CI = $ 4,310
Hence The interest for the car loan is $ 4,310
B ) The loan for the car = $ 20,000
The rate of interest of car loan = 5 % compounded annually
The period of loan = 3 years
Let the interest of the loan = CI
So,
<u>From compounded method</u>
Amount = Principal ×
Or, Amount = $ 20,000 ×
Or, Amount = $ 20,000 ×
Or, Amount = $ 20,000 × 1.1576
∴ Amount = $ 23,152
So, Interest = Amount - Principal
Or, CI = $ 23,152 - $ 20,000
∴ CI = $ 3,152
Hence The interest for the car loan is $ 3,152