An office building rents for $40,000 the first year, then increases by 0.5% each year. Use summation notation to represent the total payments for the first three years. Explain your reasoning. Marcus's response is given below: If rent increases by 0.5% each year, the year's rent is 1.005 times the previous year's rent. So, an exponential expression can be used. The summation is 1.005 raised to the year times $40,000, where the years go from 0 to 3.

Question

Mathematics

Arnav Collins

9 July, 06:40

An office building rents for $40,000 the first year, then increases by 0.5% each year. Use summation notation to represent the total payments for the first three years. Explain your reasoning. Marcus's response is given below: If rent increases by 0.5% each year, the year's rent is 1.005 times the previous year's rent. So, an exponential expression can be used. The summation is 1.005 raised to the year times $40,000, where the years go from 0 to 3.

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Jaeden Wiggins · Answer 1

Given the initial rent is $40000, and the rent is increased by 0.5% each year, the rent in the third year will be given by:

FV=P (1+r) ^n

FV=40000 (1.05) ^n

Thus the answer for the sum of payments for 3 years will be:

The summation is 1.05 raised to n years times $40000, where the years is from 0 to 3.