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V125BC [204]
2 years ago
6

A real estate company owns 120 apartments which are fully occupied when the rent is $800 per month. Analytics indicate that for

each $40 increase in rent, 5 apartments will become unoccupied. What rent should be charged in order to obtain the largest gross income?
Mathematics
1 answer:
UNO [17]2 years ago
5 0

9514 1404 393

Answer:

  $880

Step-by-step explanation:

If r is the rent charged, then the number of $40 increments of increase will be ...

  (r -800)/40

and the number of occupied apartments will be ...

  120 -5(r -800)/40

The gross income (g) will be the number of apartments times the rent charged, or ...

  g = r×(120 -5(r -800)/40) = (1/8)r(1760 -r)

The equation describes a parabola with zeros at r=0 and r=1760. The vertex will be on the line of symmetry, halfway between those zeros. The maximum gross income will be had when the rent is 1760/2 = 880.

$880 should be charged for rent to maximize gross income.

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s=80

Step-by-step explanation:

5/8ths is .625

80 x .625 =50


4 0
3 years ago
Write the word sentence as an equation. 12 less than a number m equals 20.
PolarNik [594]

Answer

Equation: m - 12 = 20

5 0
3 years ago
A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting positi
madam [21]

Answer:

31.76 ft and 58.64 ft

Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

The wheel is able to turn 7π/9 radians before getting stuck.

We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

L = \frac{\theta}{2\pi} * 2\pi r

where θ = central angle = 7π/9 radians

r = radius of the circle

Therefore, for 13 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft

For 24 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.

4 0
3 years ago
What is the slope of y=-1/2x+4​
iren [92.7K]

Answer:

The slope is -1/2

Step-by-step explanation:

Hope this helps (:

4 0
2 years ago
Read 2 more answers
There plz help me is my last question and assignment
fomenos

Answer:

I believe Jamal is correct, because he is just doing it an easy way. Instead of converting the mixed number to an improper fraction he is adding the measurements step by step.

Hope it Helps!

:)

6 0
3 years ago
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