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A boat costs $19,550 and decreases in value by 9% per year. How much will the boat be worth after 14 years?

 Feb 16, 2015

Best Answer 

 #1
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+8

$8537.20


Since it loses 9% value, we subtract .09 from '1' since '1' is %100 in this situation. This also means 0.91 is 91%


Now that we have the depreciation per year, we need to take it to the power of 'x' years. Since it is 9 years, we take it by the ninth power. This is the following equation.


$${\mathtt{19\,950}}{\mathtt{\,\times\,}}{\left({\mathtt{0.91}}\right)}^{{\mathtt{9}}} = {\mathtt{8\,537.199\: \!512\: \!589\: \!278\: \!799\: \!4}}$$

 Feb 16, 2015
 #1
avatar
+8
Best Answer

$8537.20


Since it loses 9% value, we subtract .09 from '1' since '1' is %100 in this situation. This also means 0.91 is 91%


Now that we have the depreciation per year, we need to take it to the power of 'x' years. Since it is 9 years, we take it by the ninth power. This is the following equation.


$${\mathtt{19\,950}}{\mathtt{\,\times\,}}{\left({\mathtt{0.91}}\right)}^{{\mathtt{9}}} = {\mathtt{8\,537.199\: \!512\: \!589\: \!278\: \!799\: \!4}}$$

Guest Feb 16, 2015
 #2
avatar+118609 
+5

You logic is good but it is not 9 years so anon will have to adjust the answer a little :)

 Feb 16, 2015

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