Answer:

To determine the amount after 7 years when $2750 is invested at an interest rate of 3.5% APR compounded quarterly, we can use the formula:

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

Where:

A = the future value (the amount after 7 years)

P = the present value (the initial investment)

r = the interest rate as a decimal (3.5% expressed as 0.035)

n = the number of times the interest is compounded per year (quarterly, so 4 times per year)

t = the number of years the money is invested for (7 years)

Plugging in the given values:

A = 2750(1 + 0.035/4)^(4*7)

A = 2750(1.0088)^28

A = 2750(1.97)

A = $5425.50

So, the amount after 7 years will be $5425.50.

Answer:

The formula to calculate the future value of an investment compounded quarterly is:

FV = P(1 + r/n)^(nt)

Where:

FV = future value

P = principal (initial investment)

r = annual interest rate (expressed as a decimal)

n = number of times the interest is compounded per year

t = number of years the investment is held

So, in this case:

FV = 2750(1 + 0.035/4)^(4*7)

FV = 2750(1.00875)^28

FV = 4,433.97

The future value of the investment after 7 years is $4,433.97.

Step-by-step explanation:

The future value of the investment after 7 years is $4,433.97, rounded to the nearest hundredth.