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ankoles [38]
4 years ago
7

A new car is purchased for $ 41 , 000 $41,000 and over time its value depreciates by one half every 3 years. What is the value o

f the car 17 years after it was purchased, to the nearest hundred dollars?
Mathematics
1 answer:
Nat2105 [25]4 years ago
5 0

Answer:

$800

Step-by-step explanation:

A = P (0.5)^{t}

Because it's every 3 years, you need to find how many 3 years in the 17-year-period of time.

17/3 = 5.666...

P is initial amount:

A = $41, 000 (0.5)^{5.666...}

A = 41, 000 (0.01968...)

A = 807.13692...

A ≈ $800

Rounded to the nearest hundred dollars.

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A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
kondor19780726 [428]
  • A rectangle has a perimeter of 44 inches and an area of 72 square inches.
  • Perimeter = 44 inches, area = 72 square inches.
  • Let the length and breadth be l and b respectively.
  • We know, perimeter of a rectangle = 2(l + b)
  • Therefore,
  • 2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

  • We know, area of a rectangle = lb
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  • Putting (i) in b, we get
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or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

  • Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.
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<u>Answer:</u>

<u>B)</u><u> </u><em><u>4</u></em><em><u> </u></em><em><u>inches </u></em><em><u>and </u></em><em><u>1</u></em><em><u>8</u></em><em><u> </u></em><em><u>inches.</u></em>

Hope you could get an idea from here.

Doubt clarification - use comment section.

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3 years ago
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The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches 2.1 inc
aleksklad [387]

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Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

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substitute the values

k=2.1/80

The linear equation is

y=(2.1/80)x

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substitute the value of x in the linear equation and solve for y

y=(2.1/80)(40)=1.05\ in

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