Question

Sunshine Bank & Trust is offering a CD that pays 7.5% compounded continuously. How much interest...

Sunshine Bank & Trust is offering a CD that pays 7.5% compounded continuously. How much interest would a $3,000 deposit earn over 5 years? (Round your answer to the nearest dollar.)      

Selct one:

a. $4,365

b. $1,365

c. $4,125

d. $1,125

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Answer #1

Given,

Deposit = $3000

Interest rate (r) = 7.5% or 0.075

Number of years (n) = 5

Solution :-

Future value = deposit x e(r)(n)

= $3000 x e(0.075)(5)

= $3000 x e(0.375)

= $3000 x 1.4549914146 = $4365

Now,

Interest = Future value - deposit

= $4365 - $3000 = $1365

Option 'b' is correct.

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