jefrancis1 jefrancis1
  • 06-12-2017
  • Mathematics
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If prices increase at a monthly rate of 1.9% by what percentage do they increase in a year

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shinmin
shinmin shinmin
  • 15-12-2017
Let the initial price be 100. Price after 1 month is 101.9. common ratio is r = 101.9/100 = 1.019

After 12 months, the price will be:

A1 x r ^n-1

= 101.9 * (1.019)^12-1

= 101.9 * 1.019^11= 125.34

So the yearly increase would be: 125.34 – 100 = 25.34

Therefore, the yearly price rise percentage is 25.34/100 x 100 = 25.34%
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