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:

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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

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

answer(d) the growth of consumption is likely to remain sluggish even as the economy begins to recover.;