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
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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