Mary and Lewis each open a savings account at the same time. Mary invests $3,700 in an account yielding 3.2% simple interest, and Lewis invests $3,000 in an account yielding 5.9% simple interest. After fifteen years, who has the greater total amount of money, and how much greater is it?

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Answer:

Lewis has greater total amount of money by 179 dollar.

Step-by-step explanation:

The formula for Simple Interest is:   [tex]I=P*r*t[/tex] , where [tex]I=[/tex] Amount of interest earned, [tex]P=[/tex] Principal amount, [tex]r=[/tex] Rate of interest in decimal form and [tex]t=[/tex] time duration

Mary invests $3,700 in an account yielding 3.2% simple interest for 15 years.

So, the amount of interest will be:  [tex]I= 3700*0.032*15 = 1776[/tex] dollar.

Thus, the total amount of money for Mary will be:  [tex](3700+1776) dollar = 5476 dollar[/tex]

Now, Lewis invests $3,000 in an account yielding 5.9% simple interest for 15 years.

So, the amount of interest will be:   [tex]I= 3000*0.059*15 = 2655[/tex] dollar.

Thus, the total amount of money for Lewis will be:  [tex](3000+2655) dollar = 5655 dollar[/tex]

Now,  (5655 - 5476) dollar = 179 dollar.

So, Lewis has greater total amount of money by 179 dollar.

Answer:B

Step-by-step explanation:

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