Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
A) An 18-month loan with a 4.75% annual simple interest rate
B) A 30-month loan with a 4.00% annual simple interest rate
C) A 24-month loan with a 4.25% annual simple interest rate
D) A 36-month loan with a 4.50% annual simple interest rate

Respuesta :

Answer:

Option A.

Step-by-step explanation:

Clarissa needs a $2,500 loan in order to buy a car.

There are 4 options of loan we will calculate all the options that pay the least amount of interest.

To calculate the interest we will use this formula :

[tex]\frac{P\times R\times time}{100}[/tex]

Where P = Principal amount

R = rate of interest

T = time in years

A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

[tex]\frac{2500\times 4.75\times 1.5}{100}[/tex]

= $178.125

B) Principal 2,500 interest 4% and time 30 months (2.5 years)

[tex]\frac{2500\times 4\times 2.5}{100}[/tex]

= $250

C) Principal 2,500 interest 4.25% and time 24 months (2 years)

[tex]\frac{2500\times 4.25\times 2}{100}[/tex]

= $212.50

D) Principal 2,500 interest 4.50% and time 36 months (3 years)

[tex]\frac{2500\times 4.5\times 3}{100}[/tex]

= $337.50

The least amount of interest would be in option A.

Answer:

A

Step-by-step explanation:

18x4.75=85.5 least

30x4=120 3rd least

24x4.25=102 2nd least

36x4.5=162 Most

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