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docker41 [41]
2 years ago
15

Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000

. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)
Mathematics
1 answer:
Natasha2012 [34]2 years ago
6 0

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

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Using the side lengths
In-s [12.5K]

Given

The three sides are given 24, 30 and 18.

Explanation

To find the triangle is acute, obtuse or right triangle.

To determine whether the triangle is acute, right, or obtuse.add the squares of the two smaller sides, and compare the sum to the square of the largest side. Since this sum is greater, the triangle is acute.

A

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Now c.

\begin{gathered} 30^2=24^2+18^2 \\ 900=576+324 \\ 900=900 \end{gathered}

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The correct option is A.

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Write a quadratic function for each graph described.
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Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

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so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

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substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

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y=2(x+1)(x-\frac{5}{3})

apply distributive property

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see the attached figure to better understand the problem

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