Answer:
$ 3,205.64
Explanation:
The collection initially was $10 in 1949
The value in 2065 can be determined using the future value formula below:
FV=PV(1+r)^n
PV is the initial amount of $10
r is the annual appreciation rate of coins which is 5.1% annual rate
n is the number of years the collection has been held i.e 2065-1949=116 years
FV=$10*(1+5.1%)^116
FV=$10*(1+0.051)^116
FV=$10*(1.051)^116
FV=$ 3,205.64
Ultimately the collections would worth $ 3,205.64 in the year 2065 which is 116 years after the collection was purchased by the grandparents
