Answer:
Find below full question:
An engineer analyzing cost data about hydrogen sulfide monitors discovered that the information for the first three years was missing. However, he knew the cost in year 4 was $1250 and that it increased by 5% each year thereafter. If the same trend applied to the first three years, the cost in year 1 was:
a. $1312.50
b. $1190.48
c. $1028.38
d. $1079.80
Option D,$ 1,079.80 is correct
Step-by-step explanation:
The present value formula can be used to determine the cost in year one as follows:
PV=FV*(1+r)^-n
FV is the future cost in year 4 which is $1,250
r is the growth rate of cost per year which is 5%
n is the duration of time involved,it is 3 because the difference between year 4 and year 1 is 3
PV=$1250*(1+5%)^-3
PV=$1250*(1.05)^-3
PV=$1250*0.863837599
PV=$ 1,079.80
The cost of the hydrogen sulfide monitor in year one is $ 1,079.80
In essence option D,$ 1,079.80 is correct