Answer:
The amount to save now is = $862.03 (to 2 decimal places)
Explanation:
In order to solve this, we will compute the end-of-year amounts using the 5% increase each year. This is done as follows:
Year 1 ending = $200
Year 2:
Year 2 beginning price = $200
Note that 5% increase = 5/100 = 0.05
increase in year 2 = 5% of 200 = 0.05 × 200 = 10
Year 2 new price = 200 + 10 = $210
Year 3:
beginning price = $210
increase in year 3 = 0.05 × 210 = $10.5
Year 3 new price = 210 + 10.5 = $220.5
Year 4
beginning price = $220.5
interest in year 4 = 0.05 × 220.5 = 11.025
new price in year 4 = 220.5 + 11.025 = $231.525
Next to calculate the amount needed to pay for one travel ticket per year for the next four years, we will add the prices of the tickets each year as follows:
Total amounts needed = 200 +210 + 220.50 + 231.53 = $862.03
