Answer:
B
Explanation:
The first thing to do here is to calculate what the amount of money invested would be in 25 years given the interest rate.
Mathematically, that can be written as;
V = P(1 + r)^n
Where V is the future value
P is the present value which is $8,000
r is interest rate which is 6% (6/100 = 0.06)
n is the number of years which is 25 years
Now plugging these values into the equation, we have
V = 8,000(1 + 0.06)^25
V = 8,000(1.06)^25
V = $34,334.97 which is approximately $34,335
We can now proceed to get what this future value would be today if we take the inflation rate into consideration
Mathematically, this can work as follows
P = V(1 + i)^n
Where P is the present value of the money when the inflation is taken into consideration
V is the future value of the money which was calculated from above as $34,335
i is the inflation rate which is 1.8% per annum = (1.8/100 = 0.018)
n is the number of years which is 25
Substituting these values, we have;
P = 34,335/(1 + 0.018)^25
P = 34,335/(1.018)^25
P = 21,980.75
Which is approximately P = $21,981
