
Corey M. answered 12/02/20
Aerospace Engineer with a love for teaching Mathematics!
Compound interest formula:
A = P(1 + r/n) ^ (r*t)
P = initial amount ($500)
r = rate (14% or .14)
n = number of times it is compounded (4, since quarterly)
t = time in years (7 for problem a and 6 for problem b)
Plug in numbers and go:
a.) A = $500( 1 + (.14 / 4) ) ^ ( 4 * 7 )
b.) A = $500( 1 + (.14 / 4) ) ^ ( 4 * 6 )