From the information giving in the question, then we know its a compound interest and we will solve it using compound interest formular:
A = P(1 + r/n)^(nt)
Where A is the final amount, P is the principal (initial amount), r is the number of times the interest is compounded and t is the time.
A = $5400
P = $4400
r = 5.35% = 0.0535
n = 4 (since it is compounded quarterly)
t = ?
Plugging the values into the formular:
5400 = 4400(1 + 0.0535/4)^(4 x t)
5400 = 4400(1 + 0.0535/4)^4t
5400/4400 = (1 + 0.013375)^4t
1.2273 = (1.0134)^4t
Take log of both sides
log 1.2273 = log 1.0134^4t
log 1.2273 = 4t lo