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nikdorinn [45]
3 years ago
9

A new car worth $24,000 is depreciating in value by $3,000 per year. After how many years will the cars value be $9,000?

Mathematics
2 answers:
Vlad1618 [11]3 years ago
7 0
After 5 years the value will only be 9000
vlada-n [284]3 years ago
4 0
1.) Subtract $24,000-$9,000 to find out how much the car value would depreciate down to.
2.) Then divide it by $3,000 to find out how many years it would take for the car's value to depreciate that low.


I am a little tired right now so I hope you understand my explanation on how to solve the problem. :) Good luck!
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Answer:

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Step-by-step explanation:

1/4x +2= -5/8x - 5

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1/4x +5/8x +2= -5/8x+5/8x - 5

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Subtract 2 from each side

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Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

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Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

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Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

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