The required equations computed from the data given are :
R(x) = 860x - 5x²C(x) = 120x + 6000P(x) = 740x - 5x² - 6000Break even point = 139 gallons and 9 apartmentGiven the Parameters :
Price per apartment, p = - 5x + 860x = number of apartments rented Fixed cost = 6000Maintainance cost per apartment = $120The Revenue Function, R(x) :
Price per apartment × Number of apartments rented (-5x + 860)x ; R(x) = 860x - 5x²The Cost equation, C(x) :
Fixed cost + Maintenance cost per apartment C(x) = 6000 + 120xThe Profit function, P(x) ::
P(x) = R(x) - C(x)
P(x) = 860x - 5x² - (6000 + 120x)
P(x) = 860x - 5x² - 6000 - 120x
P(x) = 740x - 5x² - 6000
Number of apartments required to break even :
At break even ;
P(x) = 0
740x - 5x² - 6000 = 0
Divide through by 5
-x² + 148 - 1200 = 0
Using a quadratic calculator :
The roots are (139.39, 8.60)
Therefore. The company will break even at 139 apartments rented or 9 apartments.
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In the expression 8 × ( 13 − 8 ) ÷ 4 + 5 , what is the first computation that should be completed?
Answer:
(13-8)
Step-by-step explanation:
It is in parenthesis which is the first thing you complete because PEMDAS ✨
the answer must be (13-8)
Solve x2−5x=8 by completing the square. Round your answers to the nearest hundredth.
Answer:
[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]
Step-by-step explanation:
[tex] x^2 - 5x = 8 [/tex]
[tex] x^2 - 5x + \dfrac{25}{4} = 8 + \dfrac{25}{4} [/tex]
[tex] (x - \dfrac{5}{2})^2 = \dfrac{57}{4} [/tex]
[tex] x - \dfrac{5}{2} = \pm \sqrt{\frac{57}{4}} [/tex]
[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]
What is the average rate of change between coordinate points (4, 7) and (6, 10) ?
Answer: 2/3
Step-by-step explanation:
Rise over run shows it on average goes up 2 and over 3. 2 on top for rise, 3 on bottom for run. Hope it helps! Don't click on shady links
The Indian coolies and the ex-slaves, who resented these newcomers flooding into the colonies and driving down wages, were instant rivals. This was convenient for the planters—who were skilled at the game of divide and rule. The planters lumped their workers into two distinct but equally nasty stereotypes: Former slaves were described as lazy, whereas Indians were called meek, docile children. "You may have work and plenty of it for a black man and a coloured man, and they will not do it,” claimed planter W. Alleyne Ireland. He conveniently ignored the fact that the ex-slaves wanted to work their own land, not labor for their former owners. The overseers praised the Indians' meekness but also held them in contempt. The Indian, one overseer claimed, "possesses the low, cringing and abject habit common to his nationality." What evidence do the authors include to support the central idea that Indian workers and formerly enslaved people became rivals? anecdotal evidence that Indian workers and formerly enslaved people were paid wages on different scales empirical evidence that planters ignored the fact that formerly enslaved people wanted to work their own land empirical evidence that planters tried to pit formerly enslaved people against Indian workers to the planters’ advantage logical evidence that Indian workers and formerly enslaved people did not get along with one another because wages went down
Answer:
empirical evidence that planters ignored the fact that formerly enslaved people wanted to work their own land
3. How many solutions does the equation
2(x – 5) = 2x + 3 have?
A. O
C. 2
B. 1
D. infinitely many
This is my work: -10 does not equal 3, so therefore there is no solution
What percent of the students surveyed are seniors who take the bus
Answer:
More infomation.
Step-by-step explanation:
Why is buying a house a better investment than renting an apartment?
A. Housing prices increase faster than rents.
B. Mortgage payments increase the homeowner's equity.
C. Leases have higher interest than mortgages
D. Houses are generally larger than apartments,
SIM
Why buying a house is a better investment than renting an apartment is: B. Mortgage payments increase the homeowner's equity.
Why buying a house can tend to be better investment compared to renting an apartment is because of mortgage.
When a person pay for the mortgage, the person debt or loan balance will decrease and on the other hand the person homeowner equity will tend to increase.
Therefore the correct option is B.
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In the figure, what is m∠ABE? What is m∠DBE? Enter your answers in the boxes.
Answer:
<DBE is 25.5
<ABE=115.5
Step-by-step explanation:
<DBE is 90-64.5 because DBC is a right angle
<DBE is 25.5
<ABE= 90+25.5 because ABD is a right Angle and DBE is 25.5
<ABE=115.5
you bought a magazine for 6 dollars and three candy bars you spend a total of 12 dollars how much did each candy cost?
Plssss help
Answer:
$2
Step-by-step explanation:
step 1: 12-6=6
Step2: 6 divided by 3
What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are congruent. The vertex angle is a right angle. The vertex angle is obtuse.
Answer:
at least 2 angles are congruent
Step-by-step explanation:
isoseles triangles have two congruent opposite angles such as 70 70 40
Pls Help! Which of the following equations represents a line that is parallel to the line y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!
Given
mZLON is a straight angle.
Definitely I need help I’ll give brainless ^^
Answer:
m∠LOM=48°
Step-by-step explanation:
∠LON=180° AND ∠LON=∠LOM+∠MON
⇒ 7x-92+6x+12=180
⇒13x=180+92-12
⇒x=20
m∠LOM=7x-92°=140°-92°=48°
Ron has 24 coins with a total value of $3.00. The coins are nickels (5 cents) and quarters (25 cents). How many of each coin does he have?
Ron has__ nickels and __ quarters.
Answer:
Ron has 15 nickels and 9 quarters
Step-by-step explanation:
Create a system of equations where n is the number of nickels and q is the number of quarters he has:
n + q = 24
0.05n + 0.25q = 3
Solve by elimination by multiplying the top equation by -0.25
-0.25n - 0.25q = -6
0.05n + 0.25q = 3
Add them together and solve for n:
-0.2n = -3
n = 15
So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:
24 - 15
= 9
So, Ron has 15 nickels and 9 quarters.
Andreas school has 20 clubs, which is 5 times as many as his cousins school. His cousins school has x clubs??
Answer:
4
Step-by-step explanation:
20 ÷ 5 = 4
Plz help ill give brainliest
Answer:
Step-by-step explanation:
Cone
Givens
r = 1.5 inches
h = 4 inches
Formula
V = 1/3 pi r^2 h
V = 1/3 3.14 * 1.5^2 * 4
V = 1/3* 3.14 * 2.25 * 4
V = 9.42
Semi sphere
Givens
r = 1.5
Formula
V = 2/3 * pi * r^3
Solution
V = 2/3 * 3.14 * 1.^3
V = 7.065
Total
V = 9.42 + 7.065
V = 16.485
Rounded to the nearest 1/100
V = 16.49
Answer
First left column = 0
Next left column= 1
Tens column 6
Then the decimal .
Next column 4 (Tens column)
Hundredths 9
9 ≥ 3b can someone help me out please?
Answer: b≤3
Step-by-step explanation:
Answer:
3 ≥ b
Step-by-step explanation:
You need to work this out like an algebraic equation
So think of it like this...
9 = 3b
9/3 = 3b/3
3=b
Add the symbol back into the equation
And you get: 3 ≥ b
-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium
Answer:
mean:-3
median:5
mode: all values appeared once
range:169
Step-by-step explanation:
4 1/2 times 2 2/5 times 3 3/4 equals
Answer:
[tex] 40 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]
[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]
[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]
[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]
[tex] = \dfrac{81}{2} [/tex]
[tex] = 40 \frac{1}{2} [/tex]
Answer:
4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5
Hope this helps!
-8x^43
What is the end behavior? Please show work, for instance, x→∞
Answer:
x→∞, f(x)→ - ∞
x→ - ∞, f(x)→∞
Step-by-step explanation:
Plz help ill give brainiest to who does PLZZZZ
Answer:
9.42 i think
Step-by-step explanation:
radius is 1.5 height is 4 so
V=1/3nr^2h
V=1/3n(1.5)^2(4)
V=1/3n(2.25)(4)
V=9.42
Hope this helps :)
Is 5 times 5/6 greater than 5
Answer:
No
Step-by-step explanation:
since 5/6 is not a whole it should be a little less than 5
An election ballot asks voters to select four city commissioners from a group of
twelve candidates. In how many ways can this be done?
Answer:
Step-by-step explanation:
C(16, 4) = 1820 ways
16
C
4 = (16x15x14x13) / (4x3x2x1)
Jamie just got a new square pool in his
backyard. One side measures 7 feet long.
What is the area of his pool?
Answer:
49 square unit
Step-by-step explanation:
its a square thus all sides are equal
area = side × side
7×7
49square unit
Answer:
28
Step-by-step explanation:
its 7 ft long and it's a square squares have equal sides so 7 × 4 is 28
Winy bought 9 light bulbs at a cost of 1.19 cents each. how much did winy spent in all of the light bulbs
Answer:
$10.71
Step-by-step explanation:
$1.19 * 9 = $10.71
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Step-by-step explanation:
So, Start with the formula
V= pi ×R² × H
V= pi × 9² × 2
V= pi × 81 × 2
V = 162 pi in³
Then ×2 = 342 in³
required volume =162π or 508.94or 509in³
Answer:
solution given:
radius (r)=9in
height(h)=2 in
we have
volume [V]=πr²h=π×9²×2=162π or 508.94in³
Angelica made sales of $5,000. She receives a 3% commission. How much would her commission be if her sales doubled?
Answer:
Step-by-step explanation:3% of $10,000 is $300.
I need help if you get it right I will mark you as BRAINLEST
Answer:
C
Step-by-step explanation:
Which expressions simplify to 4? Select all that apply.
Answer:
B and D
Step-by-step explanation:
Leon made cookies.
He used 7/10 of a cup of flour and 1/2 of a cup of sugar.
Q. How much
more flour than sugar did Leon use?
Answer:
1/5 or .20 or 20% (same answer in different formats!)
Step-by-step explanation:
Subtract 1/2 from 7/10
make the denominators the same, so 7/10 - 5/10. You get 2/10 or 1/5.
ANSWER ASAP PLS
The circular opening of a tunnel has a circumference of 36 meters. Which equation can be used to find d, the
diameter of the tunnel opening in meters?