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3 years ago

8

Last year, Nancy bought a mountain bike for $570. Her bike has depreciated since she bought it. It is now worth $410. What perce

nt did the value of Nancy’s bike depreciate over the past year? Round the the nearest whole percent.

1 answer:

Inessa05 [86]3 years ago

5 0

It’s worth about 72% of the original value so about a 28% depreciation over the year

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3 years ago

At a movie theater, tickets for children cost $6.05 each and adult tickets cost $8.75 each. If ticket sales for a group of 35 pe

insens350 [35]

<u><em>Answer: </em></u>

<u><em> </em></u>

<u><em>More unknown than equations, the answer cannot be determined </em></u>

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<u><em>Step-by-step explanation: </em></u>

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<u><em>We can solve by means of a 2x2 system of equations, we have to: </em></u>

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<u><em>"x" is the number of children's tickets </em></u>

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<u><em>"y" is the number of adult tickets </em></u>

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<u><em>Thus: </em></u>

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<u><em> blank * x + 8.75 * y = 259 </em></u>

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<u><em> x + y = 35 </em></u>

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<u><em>which means that the number of children in the group cannot be calculated with the supplied data, this is because we have 3 unknowns and there are 2 equations, which means that the system has no solution. </em></u>

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<u><em>If we assume a value, for example, $ 5 </em></u>

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<u><em>We can solve: </em></u>

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<u><em>5 * x + 8.75 * y = 259 </em></u>

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<u><em> x + y = 35 => x = 35 - y </em></u>

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<u><em>replacing we have: </em></u>

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<u><em>5 * (35 - y) + 8.75 * y = 259 </em></u>

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<u><em>175 - 5 * y + 8.75 * y = 259 </em></u>

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<u><em> - 5 * y + 8.75 * y = 259 - 175 </em></u>

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<u><em>3.75 * y = 84 </em></u>

<u><em> </em></u>

<u><em>y = -84 / 3.75 </em></u>

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<u><em>y = 22.4 </em></u>

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<u><em>Thus: </em></u>

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<u><em>x = 35 - (22.4) = 12.6 </em></u>

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Answer:

$2\frac{4}{5}\ \ or \ 2.8 \ \ cups$

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