Michael has 2 options to invest $ 10,000: 1. 4% Simple Interest for 10 years or 2. 3.25% Compound Interest for 10 years. Which will earn him more money?


Answers:


A. Option 1


B. Option 2


C. They are equal
(Please make sure your answer is 100% correct)
(Thank you!)

Respuesta :

Option 2 is better which is compound interest.

Step-by-step explanation:

SIMPLE INTEREST

Formula for simple interest = [tex]\frac{PRT}{100}[/tex]

Principal = $10,000

Rate = 1.4%

Time = 10 years

Simple Interest = [tex]\frac{PRT}{100}[/tex]

Simple Interest = [tex]\frac{10,000*1.4*10}{100}[/tex]

Simple Interest = $1400

COMPOUND INTEREST

Formula to calculate compound interest =( [tex]P*(1+r)^{n}[/tex] ) - P

Principal = $10,000

Rate = 3.25%

Time = 10 years

Compound Interest = ( [tex]P*(1+r)^{n}[/tex] ) - P

Compound Interest = ( [tex]10,000*(1+3.25%)^{10}[/tex] ) - 10,000

Compound Interest = 13769 - 10,000

Compound Interest = $3,769

Compound Interest will earn him more money than simple interest as he will get more interest on it. Therefore, option 2 is correct.

Keyword: Interest

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