Question

$500 are deposited into an account semiannuallysemiannually  for six years at an interest rate of 7.2​% compounded semiannually. How much is in the account at the end of the 6 ​years?

Answer 1

The formula is
A=p (1+r/k)^kt
A future value?
P present value 500
R interest rate 0.072
K compounded semiannual 2
T time 6 years
A=500×(1+0.072÷2)^(2×6)
A=764.34

Answer 2

each year 107.2%increase of budget
first year 500 * 1.072 = 536
second year 536 * 1.072 = 574.592
third year 574.592 * 1.072 = 615.962624
..
..
sixth year 707.854392 * 1.072 = 758.819908

or you can just (1.072)^6 * 500 = 1.517639816659862 * 500 = 758.8199083299308

bingo........