Math, asked by asensojoycelyn3889, 8 months ago

Which expression represents the growth of an investment of $1,500 at 12% per year for a period of t years?
A. 1500(12)t
B. 1500(0.12)t
C. 1500t1.12
D. 1500(1.12)t

Answers

Answered by bhagyashreechowdhury
2

Given:

An investment of $1,500 at 12% per year for a period of t years

To find:

The expression representing the growth of an investment

Solution:

We know the formula for calculating the future value of an investment is as follows:

\boxed{\bold{FV = PV[1 + i]^n}}

where

FV = future value of an investment

PV = Present value

i = rate of interest

n = no. of years

Here we have

PV = $ 1500

i = 12%

n = t years

Therefore, on substituting the values in the formula, we get

FV = 1500 [1 + \frac{12}{100} ]^t

\implies FV = 1500 [1 + 0.12 ]^t

\implies \bold{FV = 1500 [1.12 ]^t}option (D)

Thus, the expression that represents the growth of an investment of $1,500 at 12% per year for a period of t years is → \boxed{\bold{1500 [1.12 ]^t}}.

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