document.write( "Question 1139393: Does anyone know how to answer this question? I do not understand it. Thank you.\r
\n" ); document.write( "\n" ); document.write( "If prices increase 2% each year for 10 years, then a jacket that costs $90 today will cost $109.71 in 10 years. What is the percentage decrease in the buying power of currency over the 10-year period?
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Algebra.Com's Answer #759857 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
If prices increase \"2\"% each year for \"10\" years, then a jacket that costs $\"90\" today will cost $\"109.71\" in \"10+\"years. \r
\n" ); document.write( "\n" ); document.write( "here is how:\r
\n" ); document.write( "\n" ); document.write( "Start amount: $\"90\"
\n" ); document.write( "After \"1\" year: \"1.02%2890%29\"
\n" ); document.write( "After \"2+\"years:\"+1.02%281.02%2890%29%29\"
\n" ); document.write( "After \"3\" years: \"1.02%281.02%281.02%2890%29%29%29\" \r
\n" ); document.write( "\n" ); document.write( "etc
\n" ); document.write( "so after 10 years: \"1.02%5E10+%2A+90+=+109.7094977=109.71\"\r
\n" ); document.write( "\n" ); document.write( "the difference in prices or price increase was:\r
\n" ); document.write( "\n" ); document.write( "\"109.71-90=19.71\"\r
\n" ); document.write( "\n" ); document.write( "and find what \"percentage\" is it of the \"original\" price\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2F100%2990=19.71\"\r
\n" ); document.write( "\n" ); document.write( "\"9x%2F10=19.71\"\r
\n" ); document.write( "\n" ); document.write( "\"9x=19.71%2A10\"\r
\n" ); document.write( "\n" ); document.write( "\"x=197.1%2F9\"\r
\n" ); document.write( "\n" ); document.write( "\"x=21.9\"\r
\n" ); document.write( "\n" ); document.write( "so its percent increase is \"21.9\"%\r
\n" ); document.write( "\n" ); document.write( "=> percent increase in price= percent decrease in the buying power of currency
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\n" ); document.write( "in your case, decrease in the buying power of currency over the 10-year period will be: \"21.9\"%\r
\n" ); document.write( "\n" ); document.write( "remember:\r
\n" ); document.write( "\n" ); document.write( "decrease in the buying power of currency- simply, inflation
\n" ); document.write( "the impact that inflation has on the time value of money is it decreases the value of a dollar over time
\n" ); document.write( "inflation increases the prices of goods and services over time, effectively decreasing the amount of goods and services you can buy with a dollar in the future as opposed to a dollar today \r
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