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You rent an apartment that costs 
$1300 per month during the first year, but the rent is set to go up 
$130 per year. What would be the monthly rent during the 9th year of living in the apartment?
Answer: $ □

You rent an apartment that costs $1300 \$ 1300 per month during the first year, but the rent is set to go up $130 \$ 130 per year. What would be the monthly rent during the 99th year of living in the apartment?\newlineAnswer: $ \(\square\)

Full solution

Q. You rent an apartment that costs $1300 \$ 1300 per month during the first year, but the rent is set to go up $130 \$ 130 per year. What would be the monthly rent during the 99th year of living in the apartment?\newlineAnswer: $ \(\square\)
  1. Calculate Increase: Determine the increase in rent over the 88 years.\newlineSince the rent increases by $130\$130 each year, we multiply the annual increase by the number of years that have passed.\newlineAnnual increase: $130\$130\newlineNumber of years passed: 88 years (since we are calculating for the 9th9^{\text{th}} year, we consider the increase over the previous 88 years)\newlineCalculation: $130×8\$130 \times 8
  2. Total Increase: Calculate the total increase over the 88 years.\newlineTotal increase = $130×8\$130 \times 8\newlineTotal increase = $1040\$1040
  3. Find Rent for 99th Year: Add the total increase to the initial rent to find the rent for the 99th year.\newlineInitial rent: $1300\$1300\newlineTotal increase after 88 years: $1040\$1040\newlineCalculation: $1300+$1040\$1300 + \$1040
  4. Monthly Rent Calculation: Calculate the monthly rent for the 99th year.\newlineMonthly rent for the 99th year = $1300\$1300 + $1040\$1040\newlineMonthly rent for the 99th year = $2340\$2340

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