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.
Learn more :https://brainly.com/question/8882508
Which property can be used to show that if 3a = 4b, then 4b = 3a?
Multiple choice question.
A)
Symmetric Property of Equality
B)
Reflexive Property of Equality
C)
Substitution Property of Equality
D)
Transitive Property of Equality
Answer:
Hello your answer should be A symmetric property
Step-by-step explanation:
hope this helps
Symmetric property of equality to show that 3a = 4b, then 4b = 3a?
What is symmetric property of equality?The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other
We have the following information available from the question is:
We have to determine the which property can be used to show that if 3a = 4b, then 4b = 3a
Now, According to the question:
3a = 4b
4b = 3a (both are equal)
This property is used to simplify the equations, to reverse the equations, and also for proofs in numerical and non-numerical logic.
Learn more about Symmetric property of equality at:
https://brainly.com/question/29206759
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Need helppppppppppppppppppppppppppppppppp
What is 12 14/15 ( an mixed number) as a decimal.
answer: 11.2
explanation:
Determine which box each reason should go in to justify each step taken to solve
the equation. Make the unused reason #4
54+2x=5x-3(2+6x)
Distributive Property
Multiplication Property
Division Property
>
Addition Property
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Answer:
Am how should we answer this
Write the point slope form of a line that passes through (1,-5) and is perpendicular to a line with a slope of 1
Answer:
y + 5 = -1 (x - 1)
Step-by-step explanation:
y = -1
y + 5 = -1 (x - 1)
Devin owes $26,000 in students loans for college. The interest rate is 8.75% and the loan will be paid off over 15 years. How much will Devin pay altogether?
Using simple interest, it is found that Devin will pay $60,125 altogether.
The amount paid in simple interest is:
[tex]A = P(1 + rt)[/tex]
In which:
P is the principal.r is the interest rate, as a decimal.t is the time, in years.In this problem:
Owes $26,000 in student loans, thus [tex]P = 26000[/tex]Interest rate of 8.75%, thus [tex]r = 0.0875[/tex]Paid off in 15 years, thus [tex]t = 15[/tex].The amount he will pay is of:
[tex]A = P(1 + rt)[/tex]
[tex]A = 26000[1 + 0.0875(15)][/tex]
[tex]A = 60125[/tex]
Devin will pay $60,125 altogether.
A similar problem is given at https://brainly.com/question/13176347
find the slope -1/2 1/2 -2 2
Answer:
the slope: 2
Equation : y=2x-4
Answer:
-2
Step-by-step explanation:
use the rise over run equation: your rise is 8 and your run is -4
your first y is 4 and your second y is -4: 4 - (-4) is 8
your first x is -4 and you second x is 0; -4 - 0 is -4
dividing 8 by -4 will give you -2, which is your slope
Find the next two terms in the geometric sequence shown below.
4.-12, 36, -108
A. -324, -972
B. -324, 972
C. 324, -972
D. -432, 1,728
Answer:
Answer is: C. 324, -927Hope this helped. A brainliest would be very much appreciated. (I need 3 brainliest so I can level up) :)
Answer:
d. -432, 1,728
A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.
Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]
x = 2
Therefore, the value of n = 2.
What is the lcm of the numbers below will give you brainleist
i took this exam and the answer is c.25,200
Maureen paid 198.75 for a stereo system, plus a sales tax of 15.90. approximately what is the sales tax percent?
How to solve??
Answer:
The answer to your question is 13.5%
Step-by-step explanation:
Referring to the figure, the spinner is divided
into equal parts. What is the probability that the
spinner stops on a number whose ones digit is 2?
Answer:
1/6 is the probability.
There are only 2 out of 12 options that have a 2 at the one's place(2/12), which can be simplified into 1/6
Ken used 3/4 of his wrapping paper. If he used 12 feet how much wrapping paper did he use
Answer: If Ken used 12 feet of wrapping paper, 3/4 then he would have had 16 ft of wrapping paper before he started wrapping
Step-by-step explanation:
12 divided by 3 is 4 giving us the equation 4/4 equals 4 x 4
Solve four-tenths plus four ninths
Answer:
[tex]\frac{38}{45}[/tex]
Step-by-step explanation:
[tex]\frac{4}{10} +\frac{4}{9}[/tex]
So first you need to have a common denominator (the number on the bottom)
The least common denominator (LCD) would be 90.
So then the fractions would be: [tex]\frac{36}{90} +\frac{40}{90}[/tex].
Add.
You get: [tex]\frac{76}{90}[/tex]
Simplify and the answer is [tex]\frac{38}{45}[/tex]
4x = 16.
What is the best action to use to solve
And the property that justifies that action
Answer:
[tex]\sf\longmapsto \: x = 4[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 4x = 16[/tex]
[tex]\sf\longmapsto \: x = \frac{16}{4} [/tex]
[tex]\sf\longmapsto \: x = 4[/tex]
Which expression is equivalent to -3(4x-0.50)
–12x – 1.50
–12x + 1.50
–12x – 2.50
–12x – 3.50
Answer:
B.) –12x + 1.50
Step-by-step explanation:
If g(3) = 5 and g(-1) = 5, explain why g(x) does not have an inverse.
g(x) cannot have an inverse because it gives the same output value for two individual input values.
In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.
Let me know if you have any questions, thanks!
What is the slope of this line?
34
−3
4
−34
Answer:
slope = -2/3
Step-by-step explanation:
BECAUSE IT IS
If Lisa were to paint her living room alone, it would take 3 hours. Her sister Rachel could do the job in 4 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answer:
12/7 hoursStep-by-step explanation:
Lisa's rate is 1/3 of job per hour
Rachel's rate is 1/4 of job per hour
Their rate if worked together:
1/3 + 1/4 = 4/12 + 3/12 = 7/12 per hourJob will be done in:
1 : (7/12) = 12/7 hoursIf a new car is valued at $20,600 and 8 years later it is valued at $7000, then what is the average rate of change of its value during those 8 years?
-8(6+X) + 4(2x + 7) = 0
Answer:
-20 = 0
Step-by-step explanation:
-8 (6 + x) + 4 (2x + 7) = 0
-48 - 8x + 8x + 28 = 0
-20 = 0
Rectangle ABCDA has a perimeter of 54 Inches and a length that is twice the width. Which equation
A.54-2W
B.54=3w
C.54=5w
D.54-6w
Answer:
54 = 6x
Step-by-step explanation:
Product of 3 x 2/3 is 3 true or false
Answer:
falseeeee
Step-by-step explanation:
im smart lol ight so so
3/1 · 2/3
3 times 2=6
6/3=2 not 3 my dude
Please help me answer this question
Answer:
option D is right answer
i.e. _
BC
Find the equation of the exponential function represented by the table below:
0
2
1
4
2
8
3
16
9514 1404 393
Answer:
y = 2·2^x
Step-by-step explanation:
When the exponential function is of the form ...
y = a(b^x)
The value of 'a' is the value of y when x=0. The table tells us a = 2.
The value of 'b' is the ratio between values of y when their corresponding x-values differ by 1. The table tells us b = (4/2) = 2.
Then the exponential function describing the table is ...
y = 2(2^x)
What is the quotient?
-2 1/8 divided by 1 1/4
Enter your answer as a mixed number, in simplified form.
Answer:
-1.7 or 1 7/10
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1
8
= 17
8
Unary minus: -17
8
Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1
4
= 5
4
Divide: -17
8
: 5
4
= -17
8
· 4
5
= -17 · 4
8 · 5
= -68
40
= -17
10
To divide one fraction by another, invert the second fraction, then multiply.
4. (02.06 MC)
Simplify (8 + 7i) + (2 – i). (6 points)
O 10 + 61
O 16
O4
O 10 + 81
Answer:
10 +6i
Step-by-step explanation:
(8 + 7i) + (2 – i)
Combine like terms
8+2 + 7i -i
10 +6i
Answer:
Option A 10+6i
Step-by-step explanation:
(8+7i) + (2-i)8+7i + 2-i8+2+7i-i10+6iAzizah got 1 for the slope of the line through points (1, 2) and
(4 - 1)
Explain to her the mistake she
made and how to find the
slope correctly.
Answer:
I hope it help you
Step-by-step explanation:
btw thanks for the points
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's find slope (m) :
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{2 - ( - 1)}{1 - 4} [/tex][tex] \dfrac{3}{ - 3} [/tex][tex] - 1[/tex]slope of the line is -1, so Azizah got it wrong.
right i sucks at all school so what is a 0.0000343 in standard form????????????
Answer:
3.43x10^-5
Step-by-step explanation:
Please help! Only answer if correct :)!!
Answer:
x....y
0....-9
-9...0
Solution:
Draw a line thru the 2 points.
Do the same for the other eqn. Where they incersect is the solution.
Here's the solution in attachment