The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $500 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge to maximize revenue?

Answers

Answer 1

Answer:

750$

Step-by-step explanation:

lets say the increase is x times 10$. it means manager asks for (500+10x) and earns it from (100-x) apartments. Revenue will be the product of the two:

[tex](500 + 10x)(100 - x) = 50 \: 000 - 500x + 1 \: 000x - 10 {x}^{2} = 50000 + 500x - 10 {x}^{2} [/tex]

its a parabola, and its maximum is on the vertex, or at

[tex]x = - \frac{b}{2a} = - \frac{500}{ - 20} = 25[/tex]

so he should add 10$ 25 times, or ask 750$


Related Questions

Alyssa bought a bag containing 60 small candies. She starts eating the candies at a rate of 5 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.

Answers

Answer:

for every 10 she eats the minutes are even

Step-by-step explanation:

( i honestly dont know how to explain the relationship but i did the math for it)

it would take 12 mins to eat all 60 candies

55 candies : 1 min

50 candies : 2 mins

40 candies : 4 mins

30 candies : 6 mins

20 candies : 8 mins

10 candies : 10 mins

0 candies : 12 mins

What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
A. -7
B. -3
C. 0
D. 4

Answers

Answer:

-7

Step-by-step explanation:

The y-intercept is where the x value is 0.

Using the figure below, find the area of the circle.

Answers

diameter= 10 cm
radius = 5 cm
area of circle = πr2
= (3.142)(5)^2
=78.55 cm^2

Answer:

Step-by-step explanation:

Diameter of the circle = Side of the square = 10 cm

radius = r= 10/2 = 5 cm

Area = πr²

        = 3.14*5*5 = 78.5 cm²

why are prefixes used in naming covalent compounds

A. oxidation states of the atoms are identified with prefixes
B. the atoms can have different numbers of valence electrons
C. the prefixes identify the only way the atom can combine
D. the same atoms can combine in more than one ratio

Answers

Answer:

the atoms can have different numbers of valence electrons

Find the limit: .3,2.33,2.333,2.3333

Answers

Answer:

  2 1/3

Step-by-step explanation:

The value of the fraction that is an infinite sequence of 3s is 1/3. As more 3s are added to the fraction, it comes closer to 1/3.

The limit is 2 1/3.

16-?=2+6 solve for the missing number

Answers

Answer:

8

Step-by-step explanation:

trust

Answer:

8

Step-by-step explanation:

16-?=2+6

First, we add the right side .

16-?=8

Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.

16-8=8

express the followinf percentage as a fraction
a) 6 3/5%

Answers

Answer:

6.6/100 or 3.3/5

Step-by-step explanation:

6.6% or 6 3/5% now since those are all out of 100 (since percentages) you just put #/100 and get your fraction

You can drive 90 miles in 1/4 of a tank of gas in 1 hour.

Answers

Answer:

Step-by-step explanation: 1/4 will be about 4-5 with the reserve. You should be able to cover about 120 — 150 miles on that. Don't push your luck. Always keep your tank at least half full.

The line lowest to the bottom would mean you have 1/4 of a tank of gas and you should probably fill up soon, below 1/4 would be close to 1/8 of a tank which means get gas now.

A fraction (mathematics) of one fourth, one quarter, 25% or 0.25.

one of the four equal or equivalent parts into which anything is or may be divided. 2. a fourth part, esp. of one (¼).

One-fourth is also called a quarter.

To find one quarter of a number divide the number by 4. So 1640 divided by 4 is 410.

The number of miles travelled by the vehicle in full tank will be 360 miles.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you can drive 90 miles in 1/4 of a tank of gas in 1 hour. The number of miles will be calculated as,

Number of miles in full tank = 4 x 90

Number of miles in full tank = 360 miles

Hence, in a full tank, the vehicle can travel 360 miles.

To know more about an expression follow

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What is an equation of the line that passes through the points (-6,3) and (-5,2)

Answers

Answer:

y=-x-3

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6,3) and (-5,2)

There are 3 ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negative

The most common way to write the equation of the line is in slope-intercept form, so let's do it that way.

First, we'll need to find the slope of the line

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Although we already have 2 points, let's label their values in order to avoid confusion later:

[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]

Now substitute these values into the formula to find slope (m):

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):

m=[tex]\frac{2-3}{-5--6}[/tex]

Simplify:

m=[tex]\frac{2-3}{-5+6}[/tex]

Add/subtract the numbers together:

m=[tex]\frac{-1}{1}[/tex]

Divide

m=-1

We can substitute this as m in y=mx+b:

y=-1x+b, or y=-x+b

We need to find b now

Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b

Taking (-6, 3) for example:

Substitute -6 as x and 3 as y

3=-1(-6)+b

Multiply

3=6+b

Subtract 6 from both sides

-3=b

Substitute -3 as b into the equation

y=-x-3

Hope this helps!

Pls help me answer this question

Answers


x=
d+a
——
b+c
Answer above

Find the following for the nth term of the following geometric sequence, as an expression of n:

3, 15, 75, 375

Answers

Answer:

[tex]15^{n-1}[/tex]

Step-by-step explanation:

First , Let's find the common ratio of this sequence.

[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]

SO,

r = 5

Now let's use this formula to find the n th term

[tex]T_n = ar^{n-1}[/tex]

Here,

a = first term

r = common ratio

Let's find,

[tex]T_n = 3*5^{n-1}[/tex]

[tex]T_n =15^{n-1}[/tex]

Therefore,

the n th term is,

[tex]15^{n-1}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 5 , then

[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]

answer the following question in the picture

Answers

Answer:

x = 16

Step-by-step explanation:

5x - 7 = 8x - 55

+55             +55

5x + 48 = 8x

-5x             -5x

48/3 = 3x/3

16 = x

Last semester, Zachary earned an average score of 80 points on math tests. So far this semester, his average score is 15% lower. What is the average of Zachary's scores this semester?

Answers

Answer:

The answer would be 12

Step-by-step explanation:

15/100 =  X/80

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.

The equation

15/100 = X/80

X/80 = 15/100

X*80/80 = 15*80/100

X = 1200/100

X = 12

You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left?

Answers

3.50 or 14 quarters left

The length of the minute hand of a clock is 14cm. find the area it covers in 30 minutes.

Answers

Answer: 420
(I am not sure if this is right)

A Carpenter wants to build a elliptical table top from a 4 foot to by 6 foot sheet of plywood. she traces out the ellipse using a string attached to thumbtacks located at the foci of the ellipse.

Answers

The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.

The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:

[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)

Where:

[tex]a[/tex] - Major semiaxis length, in feet.[tex]b[/tex] - Minor semiaxis length, in feet.

If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:

[tex]c = \sqrt{3^{2}-2^{2}}[/tex]

[tex]c = \sqrt{5}[/tex]

The distance between the thumbstacks is described by this expression:

[tex]d = 2\cdot c[/tex]

[tex]d = 2\sqrt{5}\,ft[/tex]

The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.

We kindly invite to check this question on ellipses: https://brainly.com/question/14281133

What is the slope of the line that passes through the points (-6,-7) and (-25, -7)

Answers

Answer:

slope is 0

Step-by-step explanation:

(-6,-7) and (-25, -7)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-7 - (-7) / (-25 - (-6))

Simplify the parentheses.

= (-7 + 7) / (-25 + 6)

= (0) / (-19)

Simplify the fraction.

= 0/-19

= 0

This is your slope.

This means your line is a horizontal line.

Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies were red. How many cookies were purple?

Answers

Answer:

69 purple cookies!

Step-by-step explanation:

If an atom has 5 protons, 7 neutrons and 5 electrons what is the mass number of the atom?
Please help quick!
No links!

Answers

Answer:

7+5=12

Step-by-step explanation:

To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)

evaluate the function when x equals -6, 4, 1.

Answers

Answer:

- 26 , 4 , - 5

Step-by-step explanation:

Substitute the given values of x into s(x) , that is

s(- 6) = 3(- 6) - 8 = - 18 - 8 = - 26

s(4) = 3(4) - 8 = 12 - 8 = 4

s(1) = 3(1) - 8 = 3 - 8 = - 5

Write and solve a real-world problem that can be represented by the expression (−3)(5 ) + 10.

Answers

Answer:

• The smart phones produced by Samsung in 30 minutes reduce from 10 by 15 times

Step-by-step explanation:

[tex] = ( - 3)(5) + 10 \\ = - 15 + 10 \\ = - 5[/tex]

A newspaper reports the following changes in the temperature of a city over 4 days: 3.24 degrees Celsius, -3/8 degrees Celsius, -0.15 degrees Celsius, 7/9 degrees Celsius Write an expression to show the average daily change in the temperature of the city. Write the steps to solve the expression. Round your answer to the nearest hundredth. ​

Answers

Answer:

It is 0.873 but rounded to hundredth is 0.87

Step-by-step explanation:

I included a picture on how to solve it, hoped I helped. :)

Answer:

0.873 rounded to the nearest hundredth is 0.87

Step-by-step explanation:

Please help me with this homework

Answers

answers: 1)208 2)284 3)405 4)210
1. 52 x 4 = 208
2. 71 x 4 = 284
3. 81 x 5 = 405
4. 42 x 5 = 210

Hope this helps

Brainliest is appreciated :)

Point G lies between points F and H on Line segment F H.

A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?

3
4
6
12

Answers

Answer:

it is 3

Step-by-step explanation:

4x+2x=18 so we solve for x which is 3

Answer: A. 3

Step-by-step explanation: On Edge!!

In a scaled diagram, 1 inch represents 20 feet.
How many square inches on the diagram
represent 1 square foot?

Answers

Answer:

240

Step-by-step explanation:

1 foot=12 inches.

12 inchest times 20=240

In 1 square feet there will be  0..0025 inches on the scaled diagram.

What is unit conversion of measurement?

Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion of measurement.

For example,

1 kg = 1000g

⇒ 1 gm = 1/1000kg

According to the given question.

1 inch = 20 feet.

⇒ [tex]1 feet = \frac{1}{20} inch[/tex]

⇒[tex]1^{2} (feet)^{2} = (\frac{1}{20} )^{2} (inch)^{2}[/tex]

⇒ 1 square feet = 1/400 square inches

1 square feet = 0.0025 square inches

Hence, in 1 square feet there will be  0..0025 inches on the scaled diagram.

Find out more information about unit conversion of measurement here:

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9-3÷ 1/3+1 Pls ya'll i need this for my 8th grade class

Answers

Answer:

9

Step-by-step explanation:

So it kinda easy but ill Just give u the answer :D

Answer:

9-3÷ 1/3+1= 9

Step-by-step explanation:

I can't do solution sorry.

Question 13 of 20
If fx) = 5x- 4 and g(x) = 4x+1, find (f- g)(x).

Answers

Answer:

Step-by-step explanation:

x-5

Find the number that makes the ratio equivalent to 6:3 :9

Answers

Answer: The number that makes the ratio equivalent is 12

Explanation: All of the numbers are divisible by 3 and so is 12. So 12 will make the ratio equivalent.

Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is she from the top of the
building after 90 seconds?
O 12 floors
• ,14
floors
17 floors
19.
O
floors

Answers

Answer:

17 floors

Step-by-step explanation:

1 floor every 4 seconds.

90/4 = 22.5

40 - 22.5 = 17.5

17.5 is 17ish floors, and is the only answer that is close to 17 floors.

Given this quadratic equation, 2x^2-x-28=0,
List the factors of this equation.
Determine the x-intercepts.

Answers

[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]

[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]

[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]

[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]

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