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twinky5
07.11.2020 •
Mathematics
Y=3+2
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Ответ:
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
From compounded method
Amount = Principal ×![(1 + \frac{\textrm Rate}{100})^{\textrm time}](/tpl/images/0407/2027/e32e4.png)
Or, Amount = $ 20,000 ×![(1 + \frac{\textrm 5}{100})^{\textrm 4}](/tpl/images/0407/2027/b86c9.png)
Or, Amount = $ 20,000 ×![(1.05)^{4}](/tpl/images/0407/2027/24400.png)
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,
From compounded method
Amount = Principal ×![(1 + \frac{\textrm Rate}{100})^{\textrm time}](/tpl/images/0407/2027/e32e4.png)
Or, Amount = $ 20,000 ×![(1 + \frac{\textrm 5}{100})^{\textrm 3}](/tpl/images/0407/2027/c96fa.png)
Or, Amount = $ 20,000 ×![(1.05)^{3}](/tpl/images/0407/2027/f6d06.png)
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