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lesya692 [45]
3 years ago
14

Your parents car initially costs $18,000 and it depreciates at a rate of 12% a year. How much will the car be worth after 5 year

s.
Using this equation, when your parents give you the car when the value drops below $2,000, in what year of depreciation will you become the owner?
Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer:

Step-by-step explanation:

value after five years = $18,000×(1-0.12)⁵ = 18,000×0.88⁵ = $9,499.17

:::::

The value drops below $2,000 in the 17th year.

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This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is
BaLLatris [955]

Answer:

\frac{r}{3\pi h+r}

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}

Now, area of 2 cylinders would be the formula:

A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm  divided  by A_total.

Shown below:

\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}

We simplify further:

\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}

THis is the answer.

6 0
3 years ago
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I am Lyosha [343]

Answer:

A. 106 + 2x + 50 = 180

Step-by-step explanation:

A. 106 + 2x + 50 = 180. Correct.

B. 2x + 50 = 180. Incorrect. Angle is not a Straight Angle.

C. 2x + 50 = 106. Incorrect. That equals the first angle.

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Step-by-step explanation:

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3 years ago
Two vertical angles will always equal 180 degrees
Margarita [4]

Answer:

Hi there!

Vertical angles are angles that are opposite each other when two lines intersect each other. The two pairs of opposite angles are equal to each other. The two pairs of neighboring angles are supplementary, meaning they add up to 180 degrees.

7 0
3 years ago
The volume of a metal cylindrical rod is 126 cubic meters. ​The radius is 6 m. ​ ​What is the height of the rod in millimeters?
Dahasolnce [82]

Answer:

1.11 mm

Step-by-step explanation:

The height of a cylinder can be found using the formula: h=V/(πr^2)

This formula was found by taking the formula for the volume of a cylinder and solving for h, or height. Knowing that V is 126 and the radius is 6, we can plug in our known variables in order to solve for h.

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