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Jimbo invested $9,250 in an account that pays 6 percent simple interest (annually). How much more could he have earned over a 7-year period if the interest had compounded semi-annually

Respuesta :

Answer:

The difference is that the interest in Option 2 gets capitalized faster.

Explanation:

Giving the following information:

Option 1:

$9,250 in an account that pays 6 percent simple interest (annually).

Option 2:

$9,250 n an account that pays 6 percent semiannually.

Number of years= 7 years

We need to use the following formula:

FV= PV*(1+i)^n

Option 1:

FV= 9,250*(1.06^7)= $13,908.58

Option 2:

FV= 9,250*(1.03^14)= $13,991.45

n= 2*7= 14

i= 0.06/2= 0.03

The difference is that the interest in Option 2 gets capitalized faster.

Answer:

860.25

Explanation:

Solution

Simple interest= 9250+(9250*0.06*7)=13,135

Semi Annual Compound interest=A(1+r)^nt)/n

9250(1+0.06)^7*2)/2

=9250(1+0.03)^14

=9250(1.03)^14

=9250(1.513)=13,995.25

Take the difference between between simple and compound interest

13,995.25-13,135=860.25