Question 513749
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She has to pay the price of the car plus 8% of the price of the car and this has to be less than or equal to $25,000


Let *[tex \Large x] represent the price of the car.  Then *[tex \Large 0.08x] is the tax to be paid, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 0.08x\ \leq\ 25000]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 1.08x\ \leq\ 25000]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ \leq\ \frac{25000}{1.08}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ \leq\ 23148.\overline{148}]


So you have to round to the next lower cent because of the limitations of our monetary system and the fact that if you round up, the total will be more than she can afford (only by $0.002, but still...)


Therefore:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x_{max}\ =\ $23,148.14]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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