Answer:
To determine the crossover point, we need to find the production volume at which the total cost of each process is equal. Let's denote the production volume as "x."
For Process A:
Fixed cost = $50,000
Variable cost = $10 per unit
Total cost for Process A = Fixed cost + (Variable cost * x)
For Process B:
Fixed cost = $30,000
Variable cost = $15 per unit
Total cost for Process B = Fixed cost + (Variable cost * x)
The selling price for the product is $25 per unit.
To find the crossover point, we'll equate the total costs of both processes and solve for "x."
Total cost for Process A = Total cost for Process B
$50,000 + ($10 * x) = $30,000 + ($15 * x)
Now, let's solve this equation to find the crossover point:
$50,000 + $10x = $30,000 + $15x
$10x - $15x = $30,000 - $50,000
-$5x = -$20,000
x = -$20,000 / -$5
x = 4,000
Therefore, the crossover point occurs at a production volume of 4,000 units.
To determine which process should be chosen above that volume, we'll compare the total costs of each process at a production volume greater than 4,000 units.
For Process A:
Total cost for Process A = $50,000 + ($10 * x)
Total cost for Process A = $50,000 + ($10 * 4,000)
Total cost for Process A = $50,000 + $40,000
Total cost for Process A = $90,000
For Process B:
Total cost for Process B = $30,000 + ($15 * x)
Total cost for Process B = $30,000 + ($15 * 4,000)
Total cost for Process B = $30,000 + $60,000
Total cost for Process B = $90,000
At a production volume greater than 4,000 units, both Process A and Process B have the same total cost of $90,000. Therefore, either process can be chosen above that volume without any cost advantage.
Oakwood Plowing Company purchased two new plows for the upcoming winter. In 200 days, Oakwood must make a single payment of $20,493 to pay for the plows. As of today, Oakwood has $19,800. Assume the Oakwood puts the money in a bank today, what rate of interest will it need to pay off the plows in 200 days?
Oakwood Plowing Company needs to find an investment that offers at least 10.28% annual interest rate to pay for the plows in 200 days.
To calculate the rate of interest required to pay off the plows in 200 days, we need to use the formula for simple interest, which is:
I = P * r * t
Where,
I = Interest
P = Principal or amount borrowed
r = Rate of interest
t = Time
In this case, the principal is $19,800, the time is 200 days, and the total amount to be repaid is $20,493. We can rearrange the formula to solve for the interest rate:
r = (I / P * t)
We know that the interest (I) is the difference between the amount to be repaid and the principal amount, which is $20,493 - $19,800 = $693. So, plugging in the values in the formula, we have:
r = (693 / (19,800 * (200/365)))
Simplifying this formula, we get:
r = 0.1028 or 10.28%
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Sue rode her bike 12 miles every day in March, April and May and 13 miles each day in June and August how many miles did she cycle total?
Answer:
372 March
360 April
372 May
390 June
403 August
1897 miles
Step-by-step explanation:
Sue cycled a total of 1889 miles in the five months of March, April, May, June, and August.
Explanation:In this problem, Sue rides her bike different amounts in different months but it's a straightforward calculation. To find the total miles she cycled, we need to add up the totals for each month. In March, April and May, she cycled 12 miles per day. Each of these months has 30 or 31 days, so let's average that to 30.5 days per month. 12 miles/day * 30.5 days/month * 3 months = 1098 miles. In June and August, she cycled 13 miles per day. We'll use the same average of 30.5 days per month. 13 miles/day * 30.5 days/month * 2 months = 791 miles. Adding those up, 1098 miles + 791 miles, we get a total of 1889 miles.
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Referring to the equation for earnings on a checking account (I = rB − sx − f), where, if r = 0.0095, B = $2,000.00, s = 0, x = 28, and f = $4.00, what are the customer’s earnings for the month if her minimum balance is $2,000.00?
$8.00
$21.00
$15.00
$7.00
Answer:
Based on the given equation for earnings on a checking account, we can substitute the given values to find the customer's earnings for the month if her minimum balance is $2,000.00:
I = rB - sx - f
I = 0.0095($2,000.00) - 0(28) - $4.00
I = $19.00 - $4.00
I = $15.00
Therefore, the customer's earnings for the month if her minimum balance is $2,000.00 is $15.00. Option C is the correct answer.
Convert: 18 yards = _____ feet 52 feet 6 feet 54 feet 216 feet
Answer:
18 yards = 54 feet
Step-by-step explanation:
using the conversion
1 yard = 3 feet
then
18 yards = 18 × 3 = 54 feet
Question 8 of 10
Origami is the Japanese art of paper folding. The diagram below represents
an unfolded paper kabuto, a samurai warrior's helmet. From the kabuto below,
which of the following are pairs of congruent angles?
Check all that apply.
W
OA. ZIRF and MRN
B. ZONT and
MTN
C. ZQRT and ZQRU
OD. CRU and ZIRM
The pairs of congruent angles are;
A. IRF and MRN
C. QRT and QRU
D. CRU and IRM
How to explain the anglesTwo angles are said to be congruent when they are of equal measurement and can be placed on each other without any gaps or overlaps. The congruent angles symbol is ≅.
Angles IRF and MRN are congruent because they are vertically opposite angles. Angles QRT and QRU are congruent because they are alternate interior angles. Angles CRU and IRM are not congruent because they are not related by any congruence property.
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A bag contains red marbles, blue marbles and green marbles only. The ratio of the number of each marble is Red:Green:Blue=12:5:2. There are 112 more red marbles than green marbles. Work out the number of blue marbles
Answer:
There are 14 blue marbles in the bag.
Step-by-step explanation:
Let's call the number of green marbles "x". Then we know that the number of red marbles is 112 more than x, or x+112. We can use the ratio to find the number of blue marbles.
First, we need to find the total number of parts in the ratio. That's 12+5+2=19.
Next, we can use the ratio to set up an equation. The number of blue marbles is 2/19 of the total number of marbles. We can write this as:
2/19 (x + x + 112 + blue) = blue
Simplifying this equation, we get:
2x + 224 = 17blue
Now we can solve for blue:
blue = (2x + 224)/17
We know that blue is a whole number, so we need to find a value of x that makes the numerator of this fraction divisible by 17. After some trial and error, we find that x=3 works:
blue = (2(3) + 224)/17 = 14
Therefore, there are 14 blue marbles in the bag.
A clock manufacturer’s fixed costs per month are $5000. The unit cost for each clock is $15. Find the number of clocks made during a month in which the total cost was $65,000. Use the formula T = UN + F, where T is the total cost, U is the cost per unit, N is the number of units made, and F is the fixed costs.
Answer:
65000=15×N+5000
65000-5000=15×N
60000=15×N
60000/15=N
N=4000
Which statement about rectangles is true?
1. Only some rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, only some rectangles have exactly 1 pair of parallel sides.
1. All rectangles are parallelograms.
2. Parallelograms have 2 pairs of parallel sides.
3. So, all rectangles have 2 pairs of parallel sides.
1. Only some rectangles are parallelograms.
2. Parallelograms have 2 pairs of parallel sides.
3. So, only some rectangles have 2 pairs of parallel sides.
1. All rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, all rectangles have exactly 1 pair of parallel sides.
The correct statement about rectangles is:
1. All rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, all rectangles have exactly 1 pair of parallel sides.
A rectangle is a type of parallelogram that has additional properties. By definition, a rectangle is a quadrilateral with four right angles. This means that opposite sides of a rectangle are parallel. Since all four sides of a rectangle are right angles, it follows that a rectangle has exactly 1 pair of parallel sides.
Option 1 states that only some rectangles are parallelograms, which is incorrect. All rectangles are parallelograms because they have opposite sides that are parallel.
Option 2 states that parallelograms have 2 pairs of parallel sides, which is also incorrect. Parallelograms have exactly 2 pairs of parallel sides, not 4. A rectangle is a special type of parallelogram that has additional properties such as all angles being right angles.
Option 3 states that only some rectangles have 2 pairs of parallel sides, which is incorrect. All rectangles have exactly 1 pair of parallel sides, not 2. Having 2 pairs of parallel sides would make a shape a parallelogram, not a rectangle.
Therefore, the correct statement is that all rectangles are parallelograms and have exactly 1 pair of parallel sides. 1,2,3 are correct.
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Graphing Linear Inequalities and Systems of Linear Inequalities in Real-World Situations - Item 50373Question 2 of 7
A coffee shop orders at most $ 3 , 500 worth of coffee and tea. The shop needs to make a profit of at least $ 1 , 900 on the order. The possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea:
6 c + 13 t ≤ 3 , 500
3 . 50 c + 4 t ≥ 1 , 900
Which graph's shaded region represents the possible combinations of coffee and tea for this order?
Material Cost per
Pound Profit per
Pound
Coffee $6.00 $3.50
Tea $13.00 $4.00
CLEAR CHECK
A graph with X-axis labeled c and points labeled 100 to 600, and Y-axis labeled t, with points labeled 100 to 600. 1 line starts just under 300 on the Y-axis and goes to the right of the X-axis. Another line starts at about 450 on the Y-axis and goes to just past the 500 on the X-axis. The space above both lines is shaded.
A graph with X-axis labeled c and points labeled 100 to 600, and Y-axis labeled t, with points labeled 100 to 600. 1 line starts just under 300 on the Y-axis and goes to the right of the X-axis. Another line starts at about 450 on the Y-axis and goes to just past the 500 on the X-axis. The space between the 2 lines after they cross near the 500 mark is shaded.
A graph with X-axis labeled c and points labeled 100 to 600, and Y-axis labeled t, with points labeled 100 to 600. 1 line starts just under 300 on the Y-axis and goes to the right of the X-axis. Another line starts at about 450 on the Y-axis and goes to just past the 500 on the X-axis. The space between the 2 lines between the Y-axis and where they cross near the 500 mark is shaded.
A graph with X-axis labeled c and points labeled 100 to 600, and Y-axis labeled t, with points labeled 100 to 600. 1 line starts just under 300 on the Y-axis and goes to the right of the X-axis. Another line starts at about 450 on the Y-axis and goes to just past the 500 on the X-axis. The space below both lines is shaded.
NEXT
CLOSE
Reference
calculator
formulas
glossary
CLOSE
Language
Changes the language of the audio snippets and the glossary
ENGLISH
Answer:
695,512
Step-by-step explanation:
no explanation just x
find the inverse of each function
A
to find inverse, substitute x for y and y for x. then solve for y
PLEASE ANSWER AND FILL IN THE BOX if needed
There is no solution in the system
How to determine the solution to the systemFrom the question, we have the following parameters that can be used in our computation:
The augmented matrix
In the augmented matrix, we have
Rows = 4
Columns = 6
This means that
There are 4 equations in the system and there are 5 variables
The general rule is that
The number of variables must be equal to or less than the number of equations
Hence, there is no solution in the system
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the functions given below.
Match each expression with its simplified form.
arrowRight
arrowRight
Each expression should be matched with its simplified form as follows;
P(x) · Q(x) ⇒ [tex]\frac{12}{(3x - 1)(-3x+2)}[/tex]
P(x) ÷ Q(x) ⇒ [tex]\frac{-3x+2}{3(3x - 1)}[/tex]
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the corresponding composite function of P(x) and Q(x) under the given mathematical operations (multiplication and division) in simplified form as follows;
P(x) · Q(x) = [tex]\frac{2}{3x - 1} \cdot \frac{6}{-3x+2}[/tex]
P(x) · Q(x) = [tex]\frac{2}{3x - 1} \times \frac{6}{-3x+2}[/tex]
P(x) · Q(x) = [tex]\frac{12}{(3x - 1)(-3x+2)}[/tex]
P(x) ÷ Q(x) = [tex]\frac{2}{3x - 1} \div \frac{6}{-3x+2}[/tex]
P(x) ÷ Q(x) = [tex]\frac{2}{3x - 1} \times \frac{-3x+2}{6}[/tex]
P(x) ÷ Q(x) = [tex]\frac{2(-3x+2)}{6(3x - 1)}[/tex]
P(x) ÷ Q(x) = [tex]\frac{-3x+2}{3(3x - 1)}[/tex]
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the exact value of sin (theta) if csc (theta)=13/9 and 0<(theta)<90
When csc([tex]\theta[/tex]) = 13/9 and 0 < theta < 90, the exact value of sin([tex]\theta[/tex]) is 9/13.
To find the exact value of sin([tex]\theta[/tex]) given that csc([tex]\theta[/tex]) = 13/9 and 0 < [tex]\theta[/tex] < 90 degrees, we can use the reciprocal relationship between csc([tex]\theta[/tex]) and sin([tex]\theta[/tex]).
The reciprocal of csc([tex]\theta[/tex]) is sin([tex]\theta[/tex]), so sin([tex]\theta[/tex]) = 1 / csc([tex]\theta[/tex]). Therefore, sin([tex]\theta[/tex]) = 1 / (13/9).
To simplify the expression, we can multiply the numerator and denominator of 1 / (13/9) by the reciprocal of 13/9, which is 9/13:
sin([tex]\theta[/tex]) = (1 / (13/9)) * (9/13)
Multiplying the fractions, we get:
sin([tex]\theta[/tex]) = 9 / 13
Hence, the exact value of sin([tex]\theta[/tex]) is 9/13.
Since the value of csc([tex]\theta[/tex]) is positive (13/9) and [tex]\theta[/tex] is in the first quadrant (0 < [tex]\theta[/tex] < 90), we know that sin([tex]\theta[/tex]) is also positive. This confirms that sin([tex]\theta[/tex]) = 9/13 is the correct value.
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Sarah Jones earns $540 per week selling life insurance for Farmer’s Insurance plus 6% of sales over $5,750. Sarah’s sales this month (four weeks) are $22,500. How much does Sarah earn this month?
Sarah earns $6,810 this month.
1. First, let's calculate Sarah's base earnings for the month. She earns $540 per week, so her base earnings for four weeks would be $540 * 4 = $2,160.
2. Next, we need to determine Sarah's commission on sales over $5,750. Her sales for the month are $22,500, and we need to subtract $5,750 from this amount to find the sales that qualify for commission. $22,500 - $5,750 = $16,750.
3. Sarah's commission rate on sales over $5,750 is 6%, so we can calculate her commission earnings by multiplying the sales amount by the commission rate. 6% of $16,750 is (6/100) * $16,750 = $1,005.
4. Finally, we can find Sarah's total earnings for the month by adding her base earnings to her commission earnings. $2,160 (base earnings) + $1,005 (commission earnings) = $3,165.
Therefore, She earns $6,810 this month.
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a radioactive substance used in nuclear weapons decays at the rate of 3.6% per year. Calculate the half life of the radioactive substance
The half-life of the radioactive substance is approximately 18.81 years. This means that it takes around 18.81 years for half of the substance to decay.
To calculate the half-life of a radioactive substance, we need to determine the time it takes for half of the substance to decay.
In this case, we know that the substance decays at a rate of 3.6% per year.
Let's assume we start with a certain amount of the substance.
After one year, 3.6% of the substance will decay, leaving us with 96.4% of the original amount.
If we continue this process, we can calculate the remaining amount of the substance after each year:
Year 1: 96.4% remains
Year 2: 96.4% of 96.4% remains = 96.4% [tex]\times[/tex] 96.4%
Year 3: 96.4% of 96.4% of 96.4% remains = 96.4% [tex]\times[/tex] 96.4% [tex]\times[/tex] 96.4%
...
Year n: [tex](96.4)^n[/tex]% remains
To find the half-life, we need to solve the equation [tex](96.4)^n[/tex]%
Let's solve this equation:
[tex](96.4)^n[/tex] = 50%
Taking the logarithm of both sides:
[tex]log((96.4)^n) = log(50)[/tex]
n [tex]\times[/tex] log(96.4%) = log(50%)
n = log(50%) / log(96.4%)
Using a calculator, we can evaluate the right-hand side of the equation:
n ≈ -0.301 / -0.016
Simplifying the division, we get:
n ≈ 18.81.
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Let R be the relation defined on Z by aRb if a + b is even. Show that R is an
equivalence relation.
R s an equivalence relation on the set of integers Z using the properties of reflexivity, symmetry, and transitivity.
To show that the relation R defined on the set of integers Z is an equivalence relation, we need to demonstrate that it satisfies three properties: reflexivity, symmetry, and transitivity.
Reflexivity: For any integer a, a + a = 2a, which is always even. Therefore, aRa holds true for all integers a, showing that R is reflexive.
Symmetry: If aRb holds, then a + b is even. However, the sum of two integers is unaffected by their order. So if a + b is even, b + a will also be even. Hence, if aRb, then bRa, establishing symmetry.
Transitivity: Suppose aRb and bRc, meaning a + b and b + c are both even. In this case, we can express a + c as (a + b) + (b + c) - 2b. Since the sum of two even numbers is even, and 2b is also even, it follows that a + c is even. Therefore, if aRb and bRc, then aRc, demonstrating transitivity.
In conclusion, the relation R satisfies the properties of reflexivity, symmetry, and transitivity, proving that it is an equivalence relation on the set of integers Z.
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Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (4, 3).
I don't understand can someone help please
Answer:
[tex]y=5(x-3)^2+2[/tex]
Step-by-step explanation:
[tex]y=a(x-h)^2+k\\y=a(x-3)^2-2\\\\3=a(4-3)^2-2\\3=a(1)^2-2\\3=a-2\\5=a\\\\y=5(x-3)^2+2[/tex]
By using the vertex form of a parabola, we were able to plug in the vertex (h,k)=(3,-2) and then eventually our point (x,y)=(4,3) to solve for "a" to get the final function.
3x+(8x-16) simplest form
Step-by-step explanation:
3x × 8x- 3x×16
24x -48x
-24x
The price of stock A at 9 a.m. was 12.67. Since then, the price had been increasing at the rate of $
0.06
While this analysis provides a basic understanding of the stock's movement, it should not be regarded as a definitive forecast.
At 9 a.m., the price of stock A stood at $12.67. From that point onwards, the price of the stock has been experiencing a consistent increase of $0.06. This means that for every hour that passes, the price of stock A rises by $0.06.
If we were to track the price of stock A throughout the day, we would observe a gradual ascent in its value. By 10 a.m., the price would reach $12.73, then $12.79 by 11 a.m., and so on.
This pattern continues throughout the day, with the price increasing by $0.06 for each subsequent hour.
If we assume a linear growth pattern, we can calculate the price at any given time after 9 a.m. For instance, after one hour, at 10 a.m., the price would be $12.67 + $0.06 = $12.73. Similarly, after two hours, at 11 a.m., the price would be $12.67 + ($0.06 × 2) = $12.79.
This trend continues, with the price increasing by $0.06 for each hour elapsed. Therefore, at 12 p.m., three hours after the initial price, the price of Stock A would be $12.67 + ($0.06 × 3) = $12.8
It's important to note that this projection assumes a constant rate of increase. However, the actual stock market is subject to various factors that can influence price fluctuations, such as market demand, economic news, and company performance.
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Find the Measurement of angle 2. URGENT!
Answer:23
Step-by-step explanation:
The measure of the top angle is 180 - 95 = 85 degrees
All angles of the inside of a triangle should equal 180 degrees
180 - 85 - 72 = 23 degrees
Given: ABCD is a parallelogram.
Diagonals AC, BD intersect at E.
Prove: AE CE and BE DE
B
A
M
D
Correct! Assemble the next
statement.
Angles Segments Triangles Statements Reasons
ABCD is a parallelogram
ZABE and ZCDE
are alt. interior angles
ZBCE and ZDAE
are alt. interior angles
Statements
✓1. ABCD is a parallelogram
ZCBE and ZADE
are alt. interior angles
Reasons
1. given
ZBAE and ZDCE
are alt. interior angles
plssss help
From the two column proof below, we have seen AE ≅ CE and BE ≅ DE because of the Parallelogram side theorem
How to solve two column proof problems?The two column proof to show that AE ≅ CE and BE ≅ DE is as follows;
Statement 1: ABCD is a parallelogram
Reason 1: Given
Statement 2: <ABE and <CDE are alternate interior angles.
Reason 2: Definition of alternate Interior angles
Statement 3: <ABE and <DCE are alternate interior angles.
Reason 3: Definition of alternate Interior angles
Statement 4; AE ≅ CE and BE ≅ DE
Reason 4: Parallelogram side theorem
Thus, that is the two column proof showing us the congruent sides of the parallelogram.
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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27. What is the reflection image of (5, –3) across the y-axis? (–5, 3) (–5, –3) (–3, 5) (5, 3)
The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).
On Tuesday, you have two orders. You may send each order to a separate factory OR both to the same factory. If they are both sent to be fulfilled by a single factory, you must use the total of the two orders to find that factory's cost per unit for production on this day. Remember that the goal is to end the day with the lowest cost per unit to produce the company's products. Order B is 7,000 units, and Order C is 30,000 units. First consider giving the orders to separate factories. Use the values and the following formula to calculate the average weighted cost per unit. Second, consider sending both orders to a single factory that had the lowest cost per unit to produce 37,000 units.
Answer:
49,321
Step-by-step explanation:
there's no explanation just add them
(-x+3)
2
What is the domain of the function =
= In
O x<2
O x>2
O x <3
Ox>3
?
The domain of the function f(x) = (-x + 3)^2 is x ≤ 3, indicating that the function is defined for all real numbers less than or equal to 3. No Option is correct.
To determine the domain of the given function f(x) = (-x + 3)^2, we need to identify the values of x for which the function is defined.
In this case, the function is defined for all real numbers, except for any values of x that would result in an undefined operation or create a complex number.
The function involves squaring the expression (-x + 3), which means the expression inside the square root must be non-negative to avoid complex numbers. Thus, (-x + 3) must be greater than or equal to 0.
Solving the inequality (-x + 3) ≥ 0, we can find the range of x values that satisfy this condition.
Adding x to both sides of the inequality, we have 3 ≥ x.
This inequality implies that x must be less than or equal to 3. No Option is correct.
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Please help!!
The function f(x)=-3cos(2x+pi/4) has…
Answer:
A
Step-by-step explanation:
According to the graph attached to this answer, the amplitude is 3 and the period is 8π/8, or just π. This means that A is the correct answer.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
In a large restaurant, there are 9 times as many chairs as tables. The restaurant is famous for its very spicy chili. If the restaurant has 360 chairs, how many tables are in the restaurant?
Answer:
There are 40 tables.
Step-by-step explanation:
Since we know that there are 9 times as many chairs, then there are tables, all we have to do is divide the number of chairs by 9, and we get the answer 40.
Mr mbhalati deposited R1500 an amount from sale of goods that were sold at a value added tax (VAT) inclusive price .calculate the Vat on goods sold
The VAT on the goods sold is R195.65 when a VAT rate of 15% is applied. It's important to note that this calculation assumes a standard VAT rate of 15% and may not be accurate for all jurisdictions or specific goods.
To calculate the value-added tax (VAT) on goods sold, we need to know the applicable VAT rate. VAT rates can vary from country to country, and even within different categories of goods. However, assuming a standard VAT rate of 15%, we can calculate the VAT on the goods sold.
First, we need to determine the VAT-exclusive price. Since the amount deposited by Mr. Mbhalati is VAT-inclusive, we can calculate the VAT-exclusive price by dividing the deposit amount by 1 plus the VAT rate:
VAT-exclusive price = Deposit amount / (1 + VAT rate)
= R1500 / (1 + 0.15)
= R1500 / 1.15
= R1304.35 (rounded to two decimal places)
To find the VAT amount, we subtract the VAT-exclusive price from the VAT-inclusive price:
VAT amount = VAT-inclusive price - VAT-exclusive price
= R1500 - R1304.35
= R195.65 (rounded to two decimal places)
To learn more about VAT
https://brainly.com/question/30103837
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Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
360 = 1/3x + (x-20) + (x-10) + 40
Answer:
x = 150Step-by-step explanation:
360 = 1/3x + (x-20) + (x-10) + 40
360 = 1/3x + x - 20 + x - 10 + 40
360 + 20 + 10 - 40 = 1/3x + 2x
350 = 1/3x + 2x
350 = 7/3x
x = [tex]\frac{-(350)}{-7/3}[/tex]
x = [tex]-\frac{(150)}{(-1)}[/tex]
x = 150
-------------------------------
Check
360 = 1/3 × 150 + 150 - 20 + 150 - 10 + 40
360 = 50 + 150 - 20 + 140 + 40
360 = 200 - 20 + 180
360 = 180 + 180
360 = 360
same value the answer is good
