Help me plz
It’s question 2
Answer:
angle a is acute and angle b is obtuse
Step-by-step explanation:
2. An apartment complex has a demand given by p = -5x + 860,
where x is the number of apartments rented and p is the price
for each apartment, in dollars. The cost of maintaining the
complex is $120 per rented apartment. There are fixed costs of
$6000.
a) Find the revenue equation.
b) Find the cost equation.
c) Find the profit equation.
d) Find the number of apartments that must be rented to break
even.
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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Enter the ratio as a fraction in lowest terms 14 minutes to 18 minutes
Answer:
Step-by-step explanation:
14+18=32
14/32,18/32
7/16,9/16
How can you estimaite [tex]\sqrt 40.[/tex]
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Answer:
√40 ≈ 6 4/13 ≈ 6.31
Step-by-step explanation:
The estimate by linear approximation starts with the recognition that ...
40 = 36 +4 = 6² +4
and the difference from 36 to the next square, 7² = 49 is 49-36 = 13.
The linear approximation to √40 is ...
√40 ≈ 6 4/13 ≈ 6.31
__
There are various methods for improving this approximation. Perhaps the fastest improvement is obtained using the "Babylonian method." The next iteration is the average of this value and 40 divided by this value.
(82/13 +40/(82/13))/2 = 6 173/533 ≈ 6.3246 . . . . accurate to 4 decimal places
_____
Additional comment
When you write the value in terms of a square and a remainder:
n = s² +r
then the above linear approximation of √n can be written as ...
√n ≈ s +r/(2s+1)
Using the idea that a square root can always be represented by a continued fraction, we can continue the fraction one more iteration to give a slightly better approximation:
√n ≈ s +r(2s+1)/(2s(2s+1) +r)
For the case at hand, this gives √40 ≈ 6+52/160 = 6 13/40 = 6.325, accurate to 3 decimal places. Additional iterations using the continued fraction idea can be had using ...
n'' = s + r/(s +n') . . . . . where n' is an approximation of the root and n'' is a better approximation. This does not converge as fast as the Babylonian method, but may be easier to calculate on some calculators.
If 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?
Are lines segment Gl and HK congruent or not?
Answer:
congruent (I am sorry if wrong)
Step-by-step explanation:
GI are 8 distance apart from each other
and so is HK
Need help on this question
Answer:
measure of angel VUT is 65°
Step-by-step explanation:
Angel UTP is 115° and to find UTV you subtract 115 from 180 to get 65°. And to find VUT you subtract 65 and 50 from 180 to get 65°
Is this graph portional
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Answer:
no
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.
Victor has 2 times as many as trophies as Dean. Together , víctor and Dean have 27 trophies . How many trophies does víctor have?
2[(3x + 5) – 7] = 3(4x – 3)
Answer:
5 / 6
Step-by-step explanation:
2 [ ( 3x + 5 ) - 7 ] = 3 ( 4x - 3 )
2 [ ( 3x + 5 - 7 ] = 3 ( 4x - 3 )
2 [ 3x - 2 ] = 3 ( 4x - 3 )
6x - 4 = 12x - 9
12x - 9 = 6x - 4
12x - 6x = - 4 + 9
6x = 5
x = 5 / 6
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Exact Form:
x=5/6
Decimal Form:
x=0.8¯3
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answer:
Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.
A + B = 45
After that, make an equation out of the second sentence. "Difference" means subtraction.
A - B = 3
There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.
A + B = 45
A - B = 3
-------------
2A = 48
A = 24
Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.
A + B = 45
24 + B = 45
B = 21
This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!
Step-by-step explanation:
please mark me as brainlest
Use graphing technology to find the range of the function
f(x) = –x^2 – 10x – 27
Find the surface area of a right cone that has a radius of 9 inches and a height of 12 inches. Round your answer to the nearest hundredth.
Answer:
SA= 678.24 in^2
Step-by-step explanation:
SA = (pi)(r^2) + (pi)(r)(l)
r = radius
h = height
l = slant height
Pi = 3.14
Slant height:
l^2 = h^2 + r^2
l = sqrt (144+81)
= 15
SA = (pi)(9^2) + (pi) (9) (15)
SA = 254.34 + 423.9
SA= 678.24 square inches
If the slant height of the cone is 15 inches. Then the surface area of the cone will be 678.58 square inches.
How do find the surface area of some object?Find the area that its outer surfaces possess. The Sum of all those surface areas is the surface area of the considered object.
If a right cone has a radius of 9 inches and a height of 12 inches.
Then the surface area of a right cone will be
The slant height is given as
l² = 9² + 12²
l² = 81 + 144
l² = 225
l = 15
Then the surface area will be
Surface area = πr² + πrl
Surface area = π x 9² + π x 9 x 15
Surface area = 81π + 135π
Surface area = 216π
Surface area = 678.58 square inches
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#SPJ2
Write the word namefor the decimal 31.903
If 1/4 of a gallon is enough for 1/3 of a room, how much paint would you need to paint four rooms?
Answer:
you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons
19. Which of the following numbers is the smallest?
419
1/2
318
7/16
Answer:
Step-by-step explanation:
7/16
419
318
1/2
Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1
The indicated Z score is what?
The indicated Z score according to the given graph will be z < -0.1635
The normal distribution has a mean-values between 0 and 1.
From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.
According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635
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8,326 x 9 =n
which is the answer?
A. 52,234
B.74,934
C.2,376
D.3008
E. none
Answer:
B
Step-by-step explanation:
Answer:
2376 square feet
Step-by-step explanation:
40 x 15 = 600
40 x 24 = 960
1/2 x (24 x 9) = 108
600 + 600 + 960 + 108 + 108 = 2376
Subtract polynomials:
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
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Answer:
-5x^4 +6x^3 -x +3
Step-by-step explanation:
First, eliminate parentheses.
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
= -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2
Then collect terms.
= -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3
= -5x^4 +6x^3 -x +3
Given that (9,2) is on the graph of f(x), find the corresponding point for the function f(-3/4x)
Answer:
(- 12 , 2)
Step-by-step explanation:
f(x) -> f(kx) |k| = |-3/4| = |- 0.75| = 0.75
0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)
(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)
PLEASE HELP ITS MATH
Answer:
$192
Step-by-step explanation:
It's a proportion question!!
9/432 = 43/x
9x = 432*4
9x = 1,728
Divide 9 on both sides to isolate x.
x = 1,728/9
x = 192
So, Reid's retirement party costs $192.
(I apologize if the answer is wrong!!)
The output of a function is 7 more than 2 times the input. Write and solve an equation to find the input when the output is 15
Equation:
Solution:
Answer:
f(x) = 2x + 7
f(15) = 2(15) + 7 = 30 + 7 = 37
Anything will help plss
Answer:
2, not rational 4,not rational 3,yes rational 5,yes rational
Step-by-step explanation:
hopefully thats correct
Kala is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $ 79 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer: 21 miles
Step-by-step explanation:
need help right now plz!!
Answer:
[tex]2<p<6[/tex]
Step-by-step explanation:
If it is less than [tex]6[/tex], it must have [tex]p<6[/tex].
If it is greater than [tex]2[/tex], it must have [tex]2<p[/tex].
We can combine these inequalities to get [tex]\boxed{2<p<6}[/tex].
The graph is left as an exercise to the reader.
Arrange these numbers in order from least to greatest.
Answer:
1) 0.725.
2) 7/25.
3) 7.5%.
Cost of dinner at Chewy's: $38.72
Tip: 25%
Tax: 4.1%
What is the new cost for the meal?
Answer:
48.40
Step-by-step explanation:
Very simple. This is similar to calculating HST on something.
25%=0.25
38.72*0.25=9.68
38.72+9.68=
need help in pre algebra plz
Answer:
the first one is c
Step-by-step explanation:
i did just did it
pls help find the area of this triangle
Answer:
c
Step-by-step explanation:
h × b then Divide by 2......
In which part of the graph is the distance from home decreasing?
A. 3
B. 2
C. 1
D. 4
Answer:
3
Step-by-step explanation:
According to the graph, three is the lowest point which is decreasing
Answer:
its 2 bc its going down
Step-by-step explanation: