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hram777 [196]
2 years ago
10

Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him

Mathematics
1 answer:
vesna_86 [32]2 years ago
8 0
It will cost him 15,539.99
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4x – 4 – 3x > 13 – 7x – 1 + 8
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If you would like to solve the inequation 4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8, you can do this using the following steps:

4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8
4 * x - 3 * x + 7 * x > 4 + 13 - 1 + 8
8 * x > 24      /8
x > 24/8
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Kisachek [45]

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Check the picture below.

let's firstly convert the mixed fractions to improper fractions.

\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}

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