Answer :
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A represents the total amount at the end of t years
r represents teh interest rate
n represents the periodic interval at which it was compounded
p represents the principal or initial amount deposited.
From the information given,
t = 17
A = 627.90
r = 1.34/100 = 0.0134
n = 52 because there are approximately 52 weeks in a year
Thus, we have
627.9 = P(1 + 0.0134/52)^52 * 17
627.9 = P(1 + 0.000258)^884
627.9 = P(1.000258)^884
627.9 = 1.256P
P = 627.9/1.256
P = 499.92
Thus, the amount that she deposited initailly is $499.92
