How much would $300 invested at 4% interest compounded monthly be worth after 8 years? Round your answer to the nearest cent.

A(t) = P(1 + r/n)^nt

A. $484.25

B. $308.10

C. $412.92

D. $410.57

How much would 300 invested at 4 interest compounded monthly be worth after 8 years Round your answer to the nearest cent At P1 rnnt A 48425 B 30810 C 41292 D 4 class=

Respuesta :

The $300  invested at the given rate will amount to $412.92. The correct option is C. $412.92

Compound interest

From the question, we are to determine how much $300 will amount to

From the given Compound interest formula, we have

A(t) = P(1 + r/n)^nt

From the given information,
P = $300

r = 4% = 0.04

n = 12

t = 8

Putting the parameters into the formula

A = 300(1+ 0.04/12)¹²⁽⁸⁾

A = 300(1.3764)

A = $412.92

Hence, the $300  invested at the given rate will amount to $412.92. The correct option is C. $412.92

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