You have just started a new job and plan to save $4,750 per year for 45 years until you retire. You will make your first deposit in one year. How much will you have when you retire if you earn an annual interest rate of 10.17 percent?

$3,602,710.08

Explanation:

The payments per year for 45 years

Each year, payment will be $ 4750

After 45 years, the total amount will be the future value of $4750 every year at 10.17 percent. i.e., annuities of $4750 for 45 years

The formula for the future value of annuities is as follows.

FV = P[ (1 +r )n -1/r]

In this case: p =$4750: n= 45. r = 10.17% or 0.1017

FV =$4,750[(1+0.1017)45-1/0.1017]

=$4750{(1.1017)45-1/0.1017]

=$4750(77.1359/0.1017

=$4750 x 758.465280

=$3,602,710.08

metallurgy is your answer

the "study of metals and the process of refining ("

note that it says metal. metallurgy has the word "metal" in it, and so is most likely your answer (and is your answer).

~

i might look it up later.