The rent per unit should be $8,354.22 to generate a Net Operating Income (NOI) of $100,000, given the vacancy rate and operating expenses.
What are the operating expenses?The operating expenses are costs that must be deducted from the gross operating income to arrive at the net operating income.
The operating expenses do not include some period expenses, which are indirect costs.
Total
Rent per unit (per month) = $696.19 ($8,354.22/12) $150,376
Vacancy Rate (5% of Potential Gross Income) 7,519
Effective Gross Income $142,857
Operating Expenses (30% of Effective Gross Income) 42,857
Net Operating Income (NOI) $100,000
Number of Units 18
Working Backwards:Gross operating income = net operating income + operating expenses
Operating expenses = 30% of effective gross income
Net operating income = 70% of effective gross income (100 - 30%)
= $100,000
Effective Gross Income (100%) = $142,857 ($100,000 ÷ 70%)
Vacancy rate = 5% of potential gross income
Effective Gross Income = 95% (100 - 5)
Potential gross income = $150,376 ($142,857 ÷ 95%)
Number of units = 18
Rent per unit = $8,354.22 ($150,376/18)
Rent per month = $696.19 ($8,354.22 ÷ 12)
Thus, a rent of $8,354.22 per unit can generate a Net operating income of $100,000.
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1) A line passes through the points (7,4) and (-5, - 2). Which of the
following equations BEST defines this line?
Answer:
.5x = y
Step-by-step explanation:
You can find mx by comparing two points on a graph
Please help thank you
Answer:
[tex] \frac{4}{9} [/tex]
Find all solutions to 2sin(θ)=√3 on the interval 0≤θ<2π
Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05
So we want to solve the equation: 2sin(θ) = √3
First, we divide both sides by 2 to get:
sin(θ) = (√3)/2
Now remember the inverse sine function, it acts as follows:
Asin(sin(x)) = xsin(Asin(x)) = x
So we can apply this to both sides to get:
Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05
And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:
θ = 1.05
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For an art project, Jack used a piece of rope that was of a foot long. Daniel used a piece of rope that was 5 times as long. How long was Daniel's piece of rope?
Answer:
5 feet aka 60 inches
Step-by-step explanation:
A 5 feet
Multiply 12 times 5
Which is equal to 60 inches
5 feet= 60 inches
13. Which equation represents y = x2 - 10x + 30 in vertex form?
y = (x - 5)2 + 5
y = (x – 5)2 + 55
y = (x – 5)2 - 5
y = (x - 5)2 + 30
Answer:
y=(x-5)2-5 it's your answer plz make me barinly least
Please help with this question ASAP! Thanks!
Answer:
The equivalent expression is [tex]8.25\cdot y -14[/tex].
Step-by-step explanation:
Let [tex]4\cdot (1.75\cdot y -3.5)+1.25\cdot y[/tex], we proceed to simplify the expression by like terms and other algebraic operations:
1) [tex]4\cdot (1.75\cdot y -3.5)+1.25\cdot y[/tex] Given
2) [tex][1.75\cdot y +(-3.5)]\cdot 4 + 1.25\cdot y[/tex] Commutative property/Definition of subtraction.
3) [tex](1.75\cdot 4) \cdot y +(-3.5)\cdot 4 + 1.25\cdot y[/tex] Distributive and associative properties.
4) [tex]7\cdot y +(-14)+1.25\cdot y[/tex] Definition of multiplication/[tex]a\cdot (-b) = - a\cdot b[/tex]
5) [tex](7+1.25)\cdot y -14[/tex] Commutative and distributive properties/Definition of subtraction.
6) [tex]8.25\cdot y -14[/tex] Definition of addition/Result
The equivalent expression is [tex]8.25\cdot y -14[/tex].
pls help 10 ptsssssssssssss
Please guys help me please
Which choice is equivalent to the quotient below?
PLEASE HELP!!
Carlos is driving to Phoenix. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in minutes). When graphed, the function gives a line with a slope of -0.85 . See the figure below.
Carlos has 60 miles remaining after 33 minutes of driving. How many miles were remaining after 25 minutes of driving?
Answer:
See below
Step-by-step explanation:
you have to use the equation y=mx+b
We know the slope is -0.85
we can plug in -0.85 for m to give us
y=-0.85x+b
Then we can use the 60 miles and 33 minutes by plugging them in for x and y
60=-0.85*33+b (multiply the numbers)
60=-28.05+b (add 28.05 to both sides to isolate the variable)
b=88.05
Then, use b with the slope and plug in the 25 minutes for x
y=-0.85*25+88.05
y= 66.8 miles
hope this helps : D
A company has developed a new video game console. After completing cost analysis
and demand forecasts, the company has determined that the profit function for the
new console is p(c) = -250c^2 + 70,000c - 4,570,000, where c is the number of
consoles sold. What is the domain of the profit function?
a. all integers
b. all rational numbers
c. all integers greater than or equal to zero
d. all rational numbers greater than or equal to zero
Answer: C
Step-by-step explanation:
The domain of the profit function is (c) all integers greater than or equal to zero.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given that,
A company has developed a new video game console.
After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is,
P(c) = -250c² + 70000c - 4,570,000
where c is the number of consoles sold.
Here domain is the number of consoles sold or c.
The number of consoles cannot be negative and fractions.
So the domain does not contain all integers and all fractional numbers which are rational numbers.
So the domain is all integers greater than or equal to zero.
Hence the correct option is (c).
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What's equivalent to 5x + 10 and none Equivalent to 5x + 10
Answer:
2(5x+6)-9
Step-by-step explanation:
That's the answer to the problem
Order the sides of each triangle from shortest to longest
Jenelle draws one card from a standard deck of 52 cards.
Determine the probability of drawing either a jack or a ten? Write your answer as a reduced fraction=
Determine the probability of drawing either a jack or a diamond? Write your answer as a reduced fraction=
13
+
4
−
1
52
=
16
52
=
4
13
≈
0.3077
Explanation:
In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.
The probability of drawing a jack or ten from a deck of cards is 2/13.
The probability of drawing a jack or a diamond is 15/52.
How to calculate probability?
Fact: A deck of cards has 52 cards and in it:
13 cards of diamond13 cards of heart13 cards of clubs13 cards of spadeAnother classification:
4 cards each of A,2,3,4,5,6,7,8,9,10,king,queen and jack And those 4 cards consist of a diamond, heart, club and spade card.Now coming to the question:
We have 4 jack card and 4 10 cards, therefore total cards =8Probability: Desired outcomes/total outcome
=8/52
=2/13
We have 13 diamond cards( in which 2 jack cards are already included) and another 2 jack cards.therefore, total cards desired=13+2=15
Probability:15/52
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what is the equation of the line that passes through the points (-4,-5) and (-2,-6)
Answer:
The equation is: y=-0.5x-7
Step-by-step explanation:
Find the radius of circle G below.
A easy question please help.
Answer:
D
Step-by-step explanation:
I have no idea how to explain this, but I'll try my best. Let me know if you want further clarification.
When you're slicing parallel to the base, it would mean "in line" with the base if that makes sense. If we were to draw a line on where we would slice it, and another repersenting the base, neither line would ever touch.
So looking through each possible answer, if we were to slice each shape parallel to the base, only D would produce a circle.
Again, sorry about this sloppy explaination.
Answer:
d
Step-by-step explanation:
the bottom is a circle
Please awnser this for me
Answer:
B. 15 y +8 x/ 6 x y
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Answer:
B
Step-by-step explanation:
6 dividido entre 3,978
Answer:
0.0015082956 es la respuesta pero el valor aproximado sería ≈ 0.0015083
A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.
9514 1404 393
Answer:
length: 24 ftwidth: 42 ftStep-by-step explanation:
The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...
L(2L -6) = 1008
L² -3L -504 = 0 . . . . . divide by 2, put in standard form
(L -24)(L +21) = 0 . . . . factor
L = 24 . . . . makes the first factor zero
W = 2L -6 = 2(24) -6 = 42
The length of the rectangle is 24 feet; the width is 42 feet.
Solve the system.
x + y - 3z = -20
-3y + 2z = 5
z = 4
Answer:
x= -9
y= 1
Step-by-step explanation:
-3y+2z=5
(put the value of z in the equation)
-3y+2(4)=5
-3y+8=5
8-5=3y
3=3y
y=3/3
therefore y= 1
x+y-3z=-20
(put the value of y and z in the equation)
x+1-3(4)=-20
x+1-12=-20
x+1= -20+12
x= -8-1
therefore x= -9
I hope it will help.
A lumber company is making boards that are 2638.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 18 is made, and it is found that they have a mean of 2636.5 millimeters with a standard deviation of 12.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short
Answer:
The answer is "Fail to reject [tex]H_o[/tex], because [tex]w_o[/tex] is sufficient evidence for claim".
Step-by-step explanation:
[tex]H_0 \mu=2638.0 \ \ / \ \ H_a \mu \neq 2638.0 \\\\\mu < 2638.0 \ \ or \ \ \mu > 2638.0 \\\\\alpha =0.05 \ \ level \ \ at \ \ sufficient \\\\[/tex]
Test Statistic:
[tex]t =\frac{\bar{x}- \mu}{\frac{S}{\sqrt{n}}}\\\\=\frac{2636.5- 2638.0}{\frac{12.0}{\sqrt{18}}}\\\\= -0.5303\\\\[/tex]
[tex]dt=17\\\\[/tex]
p-value[tex]=0.6028[/tex]
Find the Mean, Median, Mode and Range of the following data. 17, 11, 12, 8, 16,6
Answer:
Mean: 11.822.
Mode: 17,11,12,8,16,6.
Median: 12.
Step-by-step explanation:
Hope this helps! The mode is the number that occurs most in the set and since they all show up once the mode is all of them.
5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.
() Find the equation of the line passing through
A and B
Given that the line y = x+1 cuts the line AB at
the point M, find
(ii) the coordinates of M,
(in) the equation of the line which passes
through Mand is parallel to the -axis,
(iv) the equation of the line which passes through
Mand is parallel to the y-axis.
If you can buy 48 plantains for $24, then how many can you buy with $4?
Answer:
Step-by-step explanation:
I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.
Hope this helps!
Find the measure of angle 1.
Answer:
Hi! I would LOVEEE to help you...But, there is no picyure or anything to see angle 1.
Step-by-step explanation:
During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)
Answer:
its 20 because he ran 20 from jones
The graph f(x)=x^1/3 is symmetric about the y-axis . True or false justify your answer
Answer:
False
Step-by-step explanation:
Upon graphing the function with any given graphing calculator, the function does not have symmetry across the y axis, as the graph is going below the x axis on one side of the y axis, and above the x axis on the other side of the y axis.
I need some help!! I wil try to give brainliest!!!
Find the measure of angle A
Answer:
Step-by-step explanation:
AB and DC are parallel, so ∠B and ∠C are supplementary angles.
∠B = 180°-∠C = 79°
AD and BC are congruent. ∠A = ∠B = 79°