Final answer:
Using the compound interest formula, $1 invested at 12% interest per year would grow to a future value of $4,863.93 after 75 years. The correct option is C.
Step-by-step explanation:
The student's question of 'How much would $1, growing at 12.0% per year, be worth after 75 years?' falls under the subject of compound interest, which is a part of high school mathematics. To calculate the future value of this investment, you would use the formula for compound interest:
Future Value = Present Value x (1 + rate)^number of periods.
In this case, the present value is $1, the annual interest rate, 'r', is 12% or 0.12, and the number of years, 'n', is 75. Plugging these values into the formula yields:
Future Value = 1 x (1 + 0.12)^75
Calculating this value gives us a future value of $4,863.93, using a calculator to compute 1.12 raised to the power of 75 and multiplying the result by $1. Therefore, the correct option from the choices provided is 'c' $4,863.93.