Answers
Answer:
A= 20.25 units
Step-by-step explanation:
A= p²/16
=18²/16
=20.25 units
Related Questions
Marci and Jennifer each own 50% of the stock of Lavender, a C corporation. After paying each of them a "reasonable" salary of $125,000, the taxable income of Lavender is normally around $600,000 (at the 21% tax rate level). The corporation is about to purchase a $2,000,000 shopping mall ($1,500,000 allocated to the building and $500,000 allocated to the land). The mall will be rented to tenants at a net rent income (that is, includes rental commissions, depreciation, and so forth) of $500,000 annually. Marci and Jennifer will contribute $1,000,000 each to the corporation to provide the cash required for the acquisition. Lavender's CPA has suggested that Marci and Jennifer purchase the shopping mall as individuals, lease it to Lavender for a fair rental of $300,000, and have Lavender rent the mail to the tenants. Both Marci and Jennifer are in the 32% tax bracket. The acquisition will occur on January 2, 2019. Deductible depreciation on the shopping mall for the year is $37,000 a. If Lavender acquires the shopping mall, what will be the corresponding tax liability related to the net rent income? b. If Marci and Jennifer acquire the shopping mall and lease it to the corporation, their combined corresponding tax liabilities would be Lavender's corresponding tax liability under this scenario would be $
Answers
a) If Lavender acquires the shopping mall, the corresponding tax liability related to the net rent income is $ 500000.
b) If Marci and Jennifer acquire the shopping mall and lease it to the corporation, their combined corresponding tax liabilities $135478 Lavender's corresponding tax liability under this scenario would be $ 160230
Marci and Jennifer each own 50% of the stock of Lavender.
reasonable" salary of Marci = $125,000
taxable income of Lavender = $600,00
Corporation is about to purchase = $2,000,0000
A net rent income (that is, includes rental commissions, depreciation, and so forth) of $500,000 annually.
(a) The corresponding tax liability related to the net rent income = $ 500000
As there are no expenses and it is the net income, so rental income = $ 500000
(b) Combined tax liabilities of Marci & Jennifer :
Total salary $ 125000× 2= $ 250000
Rental income = $ 300000
less: deduction= $ 24000
Total income = $ 526000
The above table represents the taxable income and tax rates.
tax liability= $ 135478
Lavender's tax liability :
Income = $ 600000
less: rent paid = $ 300000
depreciation= $ 37000
add: rent received= $ 500000
Total income = $ 763000
Tax liability= 21 % of 763000= $ 160230
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Reduce the fraction below to their lowest term 70/3 =
Answers
Step-by-step explanation:
70 ÷ 3 = 23 1/3
How to simplify 25 - 9 1/2 + 11
Answers
so first you do 25-9=16 round that to 20 then 1/2=1 hole +10 so that would be ..
Step-by-step explanation:
25 - 9 1/2 + 11
= 36 - 9 1/2
= 36 - 9/2
= 36 - 4.5
= 31.5
a que fraccion es equivalente 2 1/3
Answers
Answer:
Step-by-step explanation:
2 = 6/3
2⅓ = 6/3 + 1/3 = 7/3
the graph below shows how money has been budgeted for a certain company
The company has budgeted approximately 25% of its money on which of the following
Answers
Answer:
Shelter from a tornado should be sought:
in any of the above
in a room in the center of the first floor
in a basement
under a staircase in the center of the house
Shelter from a tornado should be sought:
in any of the above
in a room in the center of the first floor
in a basement
under a staircase in the center of the house
4. For a spring break vacation, a student needs to spend $47 for gas, $311 for food, and $405 for a
hotel room. If the student takes $681.79 from savings, estimate how much more money is needed
for the vacation.
Answers
Directions: Use the figure to write the symbol for each.
1. I ray
2. a plane
3. 3 points
4. 2 lines
5. 3 angles
6. 3 line segments
B В
D
Geometry
156
Total Math Grade 6
I need help ASAP please due tomorrow 6th grade geometry
Answers
Two ropes are attached to a wagon, one horizontal to the west with a tension force of 30N, and the other east and at an angle of 30 degrees northward and a tension force of 40 N. Find the components of the net force on the cart. Show all work.
Answers
The net force on the cart is 62N
and the vertical component =36.64 N
the horizontal component= 50N
What is revolution of vector?
The process of splitting a vector into its components is called resolution of the vector. We resolve a vector into two components which are. component along the x-axis called horizontal component. component along the y-axis called vertical component
30N tension on the cart is westward which mean the vertical component will be 0 and the horizontal component will be 30N.
40N tension isN 30° E which means
the vertical component= 40 sin60=36.64N
Horizontal component= 40 cos 60= 20N
sum of vertical = 36.64N +0= 36.64N
sum of horizontal= 30N+20N= 50N
60° was used for tension 40N because the angle of vector must always lie on the horizontal axis
therefore the net force F is obtained by using Pythagoras theorem
F= √(50^2+36.64^2)
= 62N to the nearest whole number.
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In front of the United Nations building in New York, one of the flags is on a pole 80 feet tall. It casts a shadow 16 feet long. At the same time of the day, another flag casts a shadow 18 feet long. How tall is the other flag?
Answers
SImilarly, another flag is raised at that same position sharing the same angle of depression as the formal flag
\(\begin{gathered} \tan 79=\frac{h}{18} \\ h=18\tan 79 \\ h=92.6ft \end{gathered}\)The height of the other flag is 92.6ft
what are the x and y intercepts of y=-3x+12
Answers
Answer:
y intercept=12 or (0,12)
x intercept=4 or (4,0)
Step-by-step explanation:
y-intercept- plug in zero for x
y=-3(0)+12
y=12
y intercept=12 or (0,12)
x-intercept- plug in zero for y
0=-3x+12
-12=-3x
4=x
x intercept=4 or (4,0)
Write the linear equation in slope-intercept form, 5x − 2y = 10
Answers
Answer:
y=5x-2
Step-by-step explanation:
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 6.0 pounds/square inch. Assume the variance is known to be 0.36. A level of significance of 0.05 will be used. Determine the decision rule.
Answers
Answer:
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
There is a difference between the means
Step-by-step explanation:
Step(i):-
Given that mean of the Population = 5.9pounds/square inch
Given mean of the sample = 6.0pounds/square inch
Given that variance of the Population = 0.36
The standard deviation of the Population = √0.36 =0.6
critical value (Z₀.₀₅)= 1.96
Step(ii):-
Null Hypothesis:H₀: x⁻ = μ
Alternative Hypothesis:H₁: x⁻ ≠ μ
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)
Z = 2.1097
Final answer:-
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
-(b-z)-(-2b+z)-(-3b-z)
Answers
Step-by-step explanation:
4b + z I think lol I honestly looked it up
A recipe calls for 2
cups of sugar. How many fourths is that?
(1 point)
03
08
011
O 14
Answers
Answer:
8
Step-by-step explanation:
2*4=8
Answer:
8 fourths
Step-by-step explanation:
What is one third time two hundred twenty two?
Answers
Answer:
74
Step-by-step explanation:
Hope this helps
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 36 hours and the median is 32.2 hours. Twenty-four of the families in the sample turned on the television for 21 hours or less for the week. The 11th percentile of the data is 21 hours.
Step 1 of 5 : Based on the given information, determine if the following statement is true or false.
The 54th percentile is greater than or equal to 31 hours.
true or false
Answers
Using the median concept, it is found that the statement is true.
What is the median of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
In this problem, we have that the 50th percentile is of 33.2 hours, hence the 54th percentile has to be above 33.2 hours = above 31 hours, hence the statement is true.
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If c(x) = 2x^2 - 4x + 3 and d(x) = -x^3 + x + 1 find c(3a)
Answers
Answer:
c(3a) = 2(3a)^2 - 4(3a) + 3 = 18a^2 - 12a + 3.
Step-by-step explanation:
c(3a) = 18a^2 - 12a + 3
Note: this is the simplified form of the expression.
Hayden has three number cards. The
minimum of his three cards is 36, the
range is 41 and the median is 46.
What is the mean of Hayden's three
cards?
Answers
Answer:
Mean = 53.
Step-by-step explanation:
The median is the middle value so the 3 cards are
36, 46, x where x is to be found.
The range is 41, so:
x - 36 = 41
x = 41 + 36
x = 77.
Therefore, the mean is
(36+46+77) / 3
= 159/3
= 53.
1. Find the new value after the old value of 56 is increased by 8%.
Answers
Answer:
60.48
Step-by-step explanation:
Answer:51.52
Step-by-step explanation:
What is the meaning of "the notion of finiteness"?
Answers
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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James has put a ladder against a wall to hang a picture. The ladder is 12 ft long and its base is 4 ft away from the wall. What is the angle the ladder makes with the floor?
Answers
Answer:
Step-by-step explanation:
1: Draw a label so if the wall makes an angel of 74° with the ground.If the foot of the ladder is 6.5 feet from the wall ,how high is the wall is the ladder?
X
2.What do you need? tan 74 = ⁻⁻⁻⁻⁻⁻⁻
6.5
x=22.67 ft
Your welcome :)
Suppose that your statistics professor returned your first midterm exam with only a z-score written on it. She also told you that a histogram of the scores was mound shaped and approximately symmetric. How would you interpret each of the following z-scores?
a. 2.2
b. 0.4
c. 1.8
d. 1.0
e. 0
Answers
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Kelsey wants to buy a new video game.
he has a $50 gift card and wants to spend less than $20 on his own money.
which of the following amounts would kelsey be willing to spend on the video game?
a. $75
b. $70
c. $65
Answers
Answer: c: $65
Step-by-step explanation:
I would be so happy if you helped me with this question:3
Answers
Answer:
650
Step-by-step explanation:
18,000-3,000
13,000
13,000 x 5%
$650
Answer:
$900.
Step-by-step explanation:
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
Answers
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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Madison took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $5 per mile. The total fare was $98.20, not including the tip. Write and solve an equation which can be used to determine
m
m, the number of miles in the taxi ride.
Answers
Answer:
19 miles
Step-by-step explanation:
y = mx + b
y = the total cost
m = the number of miles
x = the cost per mile
b = pick-up fee
98.20 = m(5) + 3.20 Subtract 3.20 from 98.2
95 = 5m divide both sides by 5
19 = m
If the taxi company charged a pick-up fee of $3.20 plus $5 per mile and the total fare was $98.20 the equation representing the given relation is 98.20 = m(5) + 3.20 and the obtained value of m is 19 miles.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that the taxi company charged a pick-up fee of $3.20 plus $5 per mile and the total fare was $98.20.
If m, is the number of miles in the taxi ride, y represents the total fare, x represents the charge per mile and b represents the pickup charge.
y = mx+ b
98.20 = m(5) + 3.20
5m = 98.20 - 3.20
95 = 5m
19 = m
Thus, if the taxi company charged a pick-up fee of $3.20 plus $5 per mile. The total fare was $98.20 the equation representing the given relation is 98.20 = m(5) + 3.20 and the obtained value of m is 19 miles.
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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
Answers
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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What should be subtracted from minus 3 / 4 so has to get 5 / 6 ?
Answers
Answer:
Step-by-step explanation:
Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and
6,which is 12.
3*3/4*3=9/12
5*2/6*2=10/12
Step 2:Subtract 9/12 from 10/12,which is 1/12.
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
Answers
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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