Answer:
annual payment = $5,496.25
Explanation:
the $5,000 that they deposit today will be worth $5,000 x (1 + 6%)⁶ = $6,691.13 in 6 years.
this means that they need to save an extra $45,000 - $6,691.13 = $38,308.87
we can calculate the amount that they need to deposit at the end of every year to have $38,308.87 in 6 years by using the future value of an annuity formula:
FV = payment x annuity factor
payment = FV / annuity factor
annual payment = $38,308.87 / 6.97 = $5,496.25