1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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The sign of the product of -35 and -625 is positive, negative, or zero
Answer:
Positive
Step-by-step explanation:
The product of two negative numbers has a positive sign, whereas the product of a positive and a negative number is negative.
Since -35 and -625 are both negative, they would have a positive sign for their product.
Hope this helps.
Answer: Positive
Step-by-step explanation:
The difference of two complementary angles is 11 degrees. Find the measures of the angles (in degrees).
Answer:
Step-by-step explanation:
Let's begin by using the definition of complementary angles: two angles are complementary if their sum is 90 degrees. We can express the two angles as x and y, and we know that:
x + y = 90 (equation 1)
We also know that the difference between the angles is 11 degrees, which we can express as:
x - y = 11 (equation 2)
We now have two equations with two unknowns, so we can solve for x and y by adding equation 1 and equation 2, which eliminates the y term:
(x + y) + (x - y) = 90 + 11
2x = 101
x = 50.5
Now we can use equation 1 to solve for y:
x + y = 90
50.5 + y = 90
y = 39.5
Therefore, the measures of the two complementary angles are 50.5 degrees and 39.5 degrees.
Answer the questions below.
The possible answers are -
Mean of all the lapses will give the average number of lapses covered by each swimmer.Mode will give the measure of most frequently used brand.Mean of all the call lengths will give the average length of each call.What is mean, median and mode?The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Given are the set of data as shown in the figure.
Mean of all the lapses will give the average number of lapses covered by each swimmer.Mode will give the measure of most frequently used brand.Mean of all the call lengths will give the average length of each call.
Therefore, the possible answers are -
Mean of all the lapses will give the average number of lapses covered by each swimmer.Mode will give the measure of most frequently used brand.Mean of all the call lengths will give the average length of each call.To solve more questions on mean, median and mode, visit the link below-
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How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Two adults and one child go to a movie and pay $26. One adult and 3 children pay
$28. How much would it cost for one adult and one child to see the movie?
Answer:
adults pay $10
children pay $6
Step-by-step explanation:
x = adult
y = child
2x + y = 26
x + 3y = 28
you want to cancel out x or y
multiply -2 with (x + 3y = 28) which is -2x -6y = -56
2x + y = 26
-2x -6y = -56
-5y = -30
y = 6
put y back into an equation
2x + y = 26 is
2x + 6 = 26
x = 10
check the answer
Two adults and one child go to a movie and pay $26
20 + 6 = 26 : checks
One adult and 3 children pay $28
10 + 18 = 28 : checks
please view the image to get a better understanding ..im stressing :((
*please include the work to show what Danielle did wrong
What is the sum of x³ + 5x² – 7 and
5x³ – 3x² + 2x – 1?
Answer:
Daniella didn't do distributive property before she started.
Step-by-step explanation:
(\(x^{3}\)+5\(x^{2}\)-7) + (5\(x^{3}\)-3\(x^{2}\)+2x-1)
5\(x^{6}\)-3\(x^{5}\)+2\(x^{4}\)-1\(x^{3}\)+25\(x^{5}\)-15\(x^{4}\)+10\(x^{3}\)-5\(x^{2}\)-35\(x^{3}\)+21\(x^{2}\)-14x+7
5\(x^{6}\)+22\(x^{5}\)-13\(x^{4}\)-26\(x^{3}\)+16x\(x^{2}\)-14x+7
A person leaves home and walks 4 miles west, then 5 miles southwest.
How far from home is she?
miles
In what direction must she walk to head directly home?
degrees North of East
The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.
To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).
To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).
To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.
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find the magnitude and direction angle of the following vector. Write your angle in degrees rounded to four decimal places. u = 2i + 8j nswer 4 Points ecall that answers entered in degrees will require a degree symbol, which is located in the keypad. ||u|| = 0 =
The magnitude of vector is 8.24 and angle is 75.9638.
What is vector?
A vector could be a amount that not solely describes the magnitude however additionally describes the movement of an object or the position of an object with reference to another purpose or object.
Main body:
we know that the magnitude of vector is found out by,
| u | = \(\sqrt{i^{2}+j^{2} }\)
so here , u = 2i + 8j
|u| = \(\sqrt{2^{2} +8^{2} }\)
|u| = \(\sqrt{68}\)
|u| = 8.24
now to find the direction , angle
tan∅ = j/k
tan∅ = 8/2
∅ = tan⁻¹ (4)
∅ = 75.9638°
Hence , direction angle of the following vector is ∅ = 75.9638°
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The average domestic economy car gets around 30.9 miles per gallon (MPG) with a standard deviation of 2.88. Suppose domestic manufacturers all vow to increase fuel economy over the next 2 years. If successesful, 2.9 is added to every observation in the dataset. What is the new mean
Answer:
33.8
Step-by-step explanation:
Given that :
Initial Average miles per gallon = 30.9
Uniform value added to each data in the set = 2.9
The mean value of a dataset shifts by the uniform value added to each value in the dataset. This is always true whenever a uniform value is added to values across a dataset irrespective of the number of samples.
Hence
Initial mean. + uniform Value
30.9 + 2.9 = 33.8
13) The school that Natalie goes to is selling tickets to a play. On the first day of ticket sales the
school sold 13 adult tickets (x) and 11 student tickets (y) for a total of $129. The school took in
$66 on the second day by selling 13 adult tickets and 2 student tickets. What is the price each of
one adult ticket and one student ticket?
pls help bro
Answer:
Adult ticket = $4
Student ticket = $7
Step-by-step explanation:
• On first day:
\({ \rm{13x + 11y = 129 - - - \{eqn(a) \}}}\)
• On second day:
\({ \rm{13x + 2y = 66 - - - \{eqn(b) \}}}\)
• Solving simultaneously;
Equation (a) - Equation (b):
\( - { \underline{ \rm{ \binom{13x + 11y = 129}{13x + 2y = 66} }}} \\ { \rm{00x + 9y = 63}} \\ \\ { \rm{y = \frac{63}{9} }} \\ \\ { \boxed{ \rm{ \: y = 7 \: }}} \\ \\ { \rm{13x + 2(7) = 66}} \\ \\ { \rm{13x + 14 = 66}} \\ \\ { \rm{13x = 52}} \\ \\ { \boxed{ \rm{x = 4}}}\)
•
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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ANSWER THE QUESTION FOR BRAINLIEST
Answer:
the third one
Step-by-step explanation:
it is a line that keeps continuing that way
Describe the radionuklider thereom.
Answer:
The radionkulider theorem describes the relationship between radicals and kulids. Thus explaining that when one adds a radical to the square root of a kulid, one would get a radia kulifer and those being divided together would make an ultimate of a radionklider. Another way this is applied is if one subtracts the radion and the kulid from each other, this would merge into the property of radionkulider and would ultimateley give you a radionklider formula and theorem.
Step-by-step explanation:
The radionuklider thereom is a simple 4 step process to figure out the force of Shrek's Fart.
The equation of the first step is:
sf = d+f+sp/ts
shrek's farts = diarrihha mass + fart pressure + overall smell degree / toilet size
The second step is to take that number equivalent and put it to the power of your sheets of toilet paper.
Then square root it by Shrek's shoe size.
Then divide it and then multiply it by your personal likability of shrek on the 1 - 1000 scale.
Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts
I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
What is a credit card?The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.
However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.
Now, I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
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g(a)= a^6- 5a
f(a)=–2a +5
Find g(f(a))
Answer:
(-2a+5)^6-5(-2a+5)
Step-by-step explanation:
plug f(a) into g(a) where there is an 'a'
Correct answer only
Answer:
Step-by-step explanation:
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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Solve for the variable in the following equation: |1/3y-7|=|2/5y+5|
Answer:
y = {-180, 2 8/11}
Step-by-step explanation:
I like to solve these using a graphing calculator. I generally start by writing the equation in the form ...
f(y) = 0
This can be done by subtracting the right-side expression from both sides. The solution will be the horizontal intercepts of the graph:
y = -180; y = 2 8/11
__
To solve this analytically, you need to recognize that this resolves into four equations, effectively two identical pairs. Each equation comes with a set of conditions (domain) for which it is applicable. Here is the expanded set of equations:
1/3y -7 = 2/5y +5 . . . both positive: 1/3y -7 ≥ 0 and 2/5y + 5 ≥ 0
7 -1/3y = 2/5y +5 . . . left side negative: 1/3y -7 ≤ 0 and 2/5y +5 ≥ 0
1/3y -7 = -2/5y -5 . . . right side negative: 1/3y -7 ≥ 0 and 2/5y +5 ≤ 0
7 -1/3y = -2/5y -5 . . . both sides negative: 1/3y -7 ≤ 0 and 2/5y +5 ≤ 0
__
The conditions resolve to ...
1/3y -7 ≥ 0
y -21 ≥ 0 . . . . . multiply by 3
y ≥ 21 . . . . . . . add 21
and ...
2/5y +5 ≥ 0
y +25/2 ≥ 0 . . . . multiply by 5/2
y ≥ -25/2 . . . . . subtract 25/2
Now, we are in a position to solve the equations and determine where the solution is applicable.
__
both positive
The domain will be y ≥ 21 and y ≥ -25/2, which is y ≥ 21.
Multiplying the equation by 15 gives ...
5y -105 = 6y +75
y = -180 . . . . . . . . . subtract 5y+75
This solution is not in the allowed domain.
__
left side negative
The domain will be y ≤ 21 and y ≥ -25/2, which is -25/2 ≤ y ≤ 21.
Multiplying the equation by 15 gives ...
105 -5y = 6y +75
30 = 11y . . . . . . . . . add y-75
y = 30/11 . . . . . . the solution is in the allowed domain
__
right side negative
The domain will be y ≥ 21 and y ≤ -25/2. This is the empty set.
__
both sides negative
The domain will be y ≤ 21 and y ≤ -25/2, which is y ≤ -25/2.
Multiplying the equation by 15 gives ...
105 -5y = -6y -75
y = -180 . . . . . . . . . . add 6y-105 . . . . the solution is in the allowed domain
__
Solutions to this equation are ...
y = 30/11 = 2 8/11
y = -180
f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
In Martha's food storage, she has 13 cans of chicken noodle soup, 15 cans of tomato soup, and 17 cans of mushroom soup. If she randomly chooses a can of soup from her food storage, what is the probability it is a can of tomato soup?
Answer:
1/3
Step-by-step explanation:
p(event) = (number of desired outcomes)/(total number of outcomes)
total number of outcomes = 13 + 15 + 17 = 45
number of desired outcomes = 15
p(can of tomato soup) = 15/45 = 1/3
what is 10% of 35
explain how u know
Answer: 3.5
Step-by-step explanation:
Since 10% x 10 = 100%
So we have to do 35 ÷ 10
35 ÷ 10 = 3.5
In conclusion, 10% of 35 = 3.5
Hope this helps!
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
show work if possible
Answer:
B. 14,525
Step-by-step explanation:
If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:
$35 x 415 = $14,525
Therefore, the answer is B. $14,525.
How much is 331 ft in meters?
it would be 100.889, darling. hope this helps. <3
A study took a random sample often married couples, and asked the husband's and wife's age. The scatterplot shows the association between the ages of the husbands and wives. Not surprisingly, older husbands tend to have older wives, so the data has a positive linear association. A researcher finds that the least squares regression equation for this relationship is ŷ= 0.89 x + 2.62.
Suppose you interview a married man who has lived to the ripe old age of 100, and still married to his wife. using the least squares regression equation, predict his wife's age.
A. 100
B. 89
C. 91.62
D. 86.38
—my answer is option (c.) 91.62
Any reviews would be much appreciated...
Find the value of x, rounded to the nearest tenth?
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
In a survey of 1,400 people who owned a certain type of car, 350 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
490/1400=35% of people surveyed were satisfied with the car.
Answer:
25%
Step-by-step explanation: 350 times 4 equals 1,400, so you would just see that 25% equals 350.
11. Descartes is thinking of a number that when he multiplies it by 9, he gets the number he is thinking of. What number is Descartes thinking of? brainly
Descartes must be thinking of the number 0.
Now, Let's call the number Descartes is thinking of "x".
Hence, According to the problem, if Descartes multiplies "x" by 9, he gets "x" back. In other words, 9 times "x" is equal to "x".
So we can write this as an equation:
⇒ 9x = x
Now we need to solve for "x". We can start by subtracting "x" from both sides of the equation:
⇒ 9x - x = 0
⇒ 8x = 0
divide both sides by 8 to get:
⇒ x = 0
Thus, Descartes must be thinking of the number 0.
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