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igomit [66]
3 years ago
14

The value of a car depreciates every year at a constant rate. Gary bought a car for $25,000 in the year 2013. If the value of th

e car is expected to depreciate 15% annually, what can Gary expect for the value of his car in the year 2017?
Mathematics
2 answers:
Virty [35]3 years ago
5 0
In 2017 the car would be worth $10,000 after deprecating by 15% annually
hope this helps 
coldgirl [10]3 years ago
3 0

Answer:

He can expect $ 13,050.16 ( approx )

Step-by-step explanation:

Given,

The original cost of the car, P = $ 25,000

Annual rate of decreasing, r = 15 %,

Time, t = 4 years ( From 2013 to 2017 ),

Thus, the new cost of the car after 4 years,

A=P(1-\frac{r}{100})^t

=25000(1-\frac{15}{100})^4

=25000(1-0.15)^4

=25000(0.85)^4

=13,050.1562\approx \$ 13,050.16

Hence, the he can expect $ 13050.16 value of his car in the year 2017.

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3 years ago
If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?
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Answer:

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Step-by-step explanation:

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So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = \sqrt{{a}^2 + b^{2} }, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.

So, from the problem,  if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.

{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}

Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.

b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8

So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>

<em />c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\<em />

So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome

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The answer is 15.

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To clear things up, the fraction should be 30/2 and your answer should be 15 as a result.

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