Step-by-step explanation:
12-(-8)=4
12+8=20
because - - sign +
HEY YOU, YES YOU, I NEED YOUR HELP ASAP! Which is the correct answer
Answer:
What is this?????????????........What's the question?
You can just reply it or something and I'll try to answer
please helpppppppppppppppppppppppp
Answer:
8 \(<\) x \(<\) 12
Step-by-step explanation:
Have a nice day!
Some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3% math, 22% nursing, 16% psychology, 11% criminal justice, and 48% business. Suppose a first-year student was chosen at random. Which of the following is the probability distribution for that student’s major?
Answer:
The correct answer is B, I took the test :)
You just turn the percentages into decimals
The probability distribution table is formed clearly in the answer part.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The probability for all the elements in the sample space can be shown in one table known as distribution table.
Suppose X be the event of choosing a major.
Then, its probability can be given as P(X).
Here, the percent value of a given event is equivalent to their probability.
It can be represented in the form of table as,
X (Major chosen by student) P(X) (Probability)
Math 3% = 0.03
Nursing 22% = 0.22
Psychology 16% = 0.16
Criminal justice 11% = 0.11
Business 48% = 0.48
This table is known as the probability distribution table.
Hence, the probability distribution table is formed by calculating the probability for each of the events.
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evaluate the expression 16-30
Answer:
The answer is -14.
Step-by-step explanation:
16-30
-(30-16)
=-14.
Hope that helped!
Question 6.
Find JU. The triangles in the image are similar.
The value of JU in the similar triangles is 24 units.
How to find the sides of similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In similar triangles, corresponding sides are always in the same ratio.
Therefore, let's use the proportion to find the side JU of the triangle.
36 / 96 = -4 + 4x / 64
cross multiply
64 ×36 = 96(-4 + 4x)
2304 = -384 + 384x
2304 + 384 = 384x
2688 = 384x
divide both sides by 384
x = 2688 / 384
x = 7
Hence,
JU = -4 + 4(7)
JU = -4 + 28
JU = 24 units
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A statistician believes that women received more bachelor's degrees than men did last year. To test this claim, she selects colleges and universities randomly and compares the number of bachelor's degrees awarded to men and women. Suppose that data were collected for a random sample of 7 colleges and universities, where each difference is calculated by subtracting the number of degrees earned by men from the number of degrees earned by women. Assume that the number of degrees is normally distributed. The statistician uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈2.968, which has 6 degrees of freedom, determine the range that contains the p-value.
Answer:
0.0125
Step-by-step explanation:
The P-value can be calculated by using excel function T.DIST.RT(2.968,6).
Right tail is used in the function because our alternative hypothesis has greater than sign (>) whereas 2.968 represent test statistic value and 6 represents degree of freedom. The resultant p-value from excel function is 0.0125.
Or if we use t- distribution right tail area table, we see that 6 for degree of freedom the value in table is there are two value 2.44691 and 3.14627 which corresponds to p=0.025 and p=0.01. As 2.44691 is smaller than 2.968 so we take p=0.01 against 3.14627. Thus, in this scenario p-value would be 0.01.
Help pldssssssss………………..
The missing value for the quadratic function is given as follows:
y = -3.
How to obtain the quadratic function?As a function of it's roots x* and x**, the quadratic function is defined as follows:
y = a(x - x*)(x - x**)
In which a is the leading coefficient.
The roots of the function are the values of x when y = 0, hence:
x* = -4, x** = -2.
Thus:
y = a(x + 4)(x + 2)
y = a(x² + 6x + 8).
When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:
8a = -8
a = -1.
Hence:
y = -x² - 6x - 8;
The missing value is the value of y when x = -1, hence:
y = -(-1)² - 6(-1) - 8
y = -3.
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After a 5% reduction, you purchase a new television for $456. What was the price of the television before the reduction?
A) First write an equation you can use to answer this question. Use
x
as your variable and express any percents in decimal form in the equation.
The equation is
B) Solve your equation in part [A] to find the original price of the television.
Answer: The original price of the television was
dollars.
Using proportions, it is found that:
A. The equation is 0.95x = 456.
B. The original price of the television was $480.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The television was sold with a 5% discount at $456, that is, 95% of the original price is of $456, hence:
0.95x = 456
x = 456/0.95
x = $480.
Thus:
A. The equation is 0.95x = 456.
B. The original price of the television was $480.
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What is the answer to this equation?
Answer:
OQ = 12
Step-by-step explanation:
PQ + OP = OQ
x + 7 + 4x - 10 = 4x
5x - 3 = 4x
x = 3
OQ = 4x = 4(3) = 12
PLEASE SOMEONE HELP ME
The bar graph shows changes in price of regular gasoline from 1996–2010.
For example, at the end of 1996, the price per gallon for regular gasoline was
$0.15 more than the price per gallon at the end of 1995, the price at the end
of 1997 was $0.12 less than the price at the end of 1996, and so on.
1. Find the average change in the price of regular gasoline for the given years.
a. 1996–2002 b. 2003–2010 c. 1996–2010
2. The price per gallon for regular gasoline at the end of 1995 was $1.08. In what
year was the price per gallon for regular gasoline the lowest? What was the
price? Explain how you found your answer.
3. How many times greater is the price per gallon in 2010 than the price per
gallon in 1996? Price change (dollars per gallon)
Answer:
The answer is 5 times
Step-by-step explanation:
First, we need to read the change in price in 2000 and 2007, from the graph.
So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.
Now, we do the same thing we always do when comparing two values - we divide them. So:
0.71 / 0.14 = 5.07
Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:
71 / 14 = 5.07
We could also divide this in the form of fractions:
71/100 / 14/100 = 5.07
There are several ways we could divide rational numbers, but the result will always be the same.
Change in price in 2007 was around 5 times greater than the change in 2000.
I hope this helps!!;-)
To purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
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Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Find m<1 and m<2 and explain how you got that
Answer:
From the given diagram
m∠1 = 117° (Vertically opposite angles)
m∠2 = 117° (Corresponding angles)
Step-by-step explanation:
The ratio of dye to pounds of clothing is constant. A worker develops the chart below to show the amount of dye needed for different amounts of clothing.
Clothes Dyeing
Weight of clothing (pounds)
Cups of dye
21
3
42
9
84
12
105
15
For which weight of clothing is the ratio of weight to dye different from the other ratios?
21 pounds
42 pounds
84 pounds
105 pounds
The weight of clothing is the ratio of weight to dye is different from the other ratios is B. 42 pounds.
How to calculate the ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
It should be noted that from the information given, others have a ratio of 1:7. This is different for 42 pounds since the ratio is:
= 42/9
= 14:3
In conclusion, the correct option is B.
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Does anybody know the slope for these graphs?
Vertex angles. Please help me
For the given triangle the value of z = 1, y = 6, and x = 4.75.
What is geometry?One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
The value of x,y, and z will be calculated by the property states that the ratio of the median line passing from the centroid of the triangle is divided into the ratio of 1: 2.
The value of x,
( 2x - 6 ) / 7 = 1 / 2
2 ( 2x - 6 ) = 7
4x - 12 = 7
4x = 19
x = 19 / 4
The value of y,
3 / y = 1 / 2
y = 3 x 2
y = 6
The value of z,
2z / 4 = 1 / 2
4z = 4
z = 1
Therefore, the values are z = 1, y = 6, and x = 4.75.
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please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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If you can make 1 whole pencil out of 4 pencil pieces and you are given 16 pieces. How man whole pencils can you make? (answer is not 4)
Answer:
is there multiple choice options, I want to help but I'm not sure why it isn't 4
Solve 9.1 - 8y = 16 for y
y =
Help me please , you can ignore question number 1 !!!
Answer:
See below ~
Step-by-step explanation:
Q2
Lobster = 3 veg choices x 3 beverages9 outcomesQ3
Chicken and chopsuey = 3 beverages3 outcomesQ4
4 main dishes x 3 veg choices x 4 beverages48 menusPLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
1/3t - 8 = -6
what is t?
Answer:
t=6
Step-by-step explanation:
your welcome :)
Answer:
I believe that the answer is 6
Step-by-step explanation:
Because I got it right
Max is finding the perimeter of different-sized equilateral triangles.
The constant of proportionality between the side length and the perimeter of the equilateral triangle would be = 3.
What is constant of proportionality?The constant of proportionality is defined as the constant value that exists between two variables that are in a direct proportional relationship to each other.
For example, the constant of proportionality (k) between the side lengths and the perimeter of the equilateral triangle= y/X= 15/5= 3 or 24/8 = 3 or 27/9 = 3 or 30/10=3.
Therefore, the constant of proportionality which is the constant value existing between the two variables= 3.
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Please show work thank you math experts
Answer:
1. 35 - 176 = -141
2. 0.55 × 1.79 = 0.9845
3. 11.38 × 5.46 = 62.1348
Hope it helps and have a great day! =D
~sunshine~
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
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The area of a rectangle is 5/6 sq foot. The width is 2/3 foot. The length of the rectangle is how many feet
Answer:
The answer is
\( \frac{5}{4} \\ \)
Step-by-step explanation:
Area of a rectangle = length × width
Since we are finding the length
\(length = \frac{area}{width} \\ \)From the question
area = 5/6 sq. feet
width = 2/3 foot
Substitute the values into the above formula and solve for the length
The length is
\(length = \frac{5}{6} \div \frac{2}{3} \\ = \frac{5}{6} \times \frac{3}{2} \\ = \frac{5}{2} \times \frac{1}{2} \\ = \frac{5}{4} \)
We have the final answer as
\( \frac{5}{4} \\ \)
Hope this helps you
Answer:
5/4
Step-by-step explanation:
5/6 ÷ 2/3
5/6 * 3/2
15/12
5/4
Best of Luck!
3F furniture dealer has always sold its merchandise through 4 company-operated
stores. Last year sales were birr 1million and net profit was 8% of sales. Fixed
costs were birr 170,000. As a result of shifting population and increased
competition, the four locations have become less desirable. 3F is considering
eliminating its retail stores in favor of door-to-door selling. It is estimated that
sales would increase by 25% and net profit by birr 30,000. Fixed costs would
increase by birr 30,000 because operations would be moved to a low-rent
warehouse. Required
a) What was the break-even point under the old situation?
b) What will be the break-even point under the proposed situation?
c) What birr sales volume must be obtained under the proposed plan to make as
much profit as last year?
The break-even point under the old situation is 680000, the break-even point under the proposed situation is 806451 and the birr sales volume must be obtained under the proposed plan to make as much profit as last year is 1129032.
Define breakeven point.In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even." Although opportunity costs have been paid and capital has obtained the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
In the given question, last year sales= birr 100000
net profit= 8% of sales
Fixed costs= birr 170000
Estimated sales increase= 25%
Estimated net profit= birr 30000
Increase in fixed cost due to moving to low-rent warehouse= birr 30000
(a) The break-even point under the old situation (X):
= 100,000 * a - 170,000
=1,000,000 * 8%
a= 25% (net profit)
X*a= 1170,000
X=680,000
That is, the break-even point under the old situation is 680000.
(b) The break-even point under the proposed situation is:
= 1,250,000 x b - 170,000- 30,000
= 80,000 + 30,000
b= 24.8%
X*b=200,00
X=806451
The break-even point under the proposed situation is 806451 and
(c) The birr sales volume must be obtained under the proposed plan to make as much profit as last year is:
X*b -200,000= 80,000
X*b = 280,00
X= 1,129,032
The birr sales volume must be obtained under the proposed plan to make as much profit as last year is 1129032.
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PLEASE HELP WITH THIS ONE QUESTION
Answer:
step 1: move the -4 to the right: x^2 -2x = 4
step 2: add 1 to each side: x^2 -2x + 1 = 4 + 1
step 3: factor the left side and simplify the right side: (x-1)^2 = 5
step 4: take the square root of each side: x - 1 = sqr root of 5
step 5: move the 1 to the other side: \(x=\sqrt{5} + 1\) and \(x = \sqrt{5} -1\)
PLEASE HELP THIS IS HARD
The Area of the shaded portion is: 72 square inches
What is the Area of the shaded region?The formula for the area of a triangle is given by the formula:
Area = ¹/₂ * base * height
Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.
Thus:
Area of larger triangle = ¹/₂ * 17 * 13 = 110.5 square inches
Area of smaller triangle = ¹/₂ * 11 * 7 = 38.5 square inches
Thus:
Area of shaded portion = 110.5 square inches - 38.5 square inches
Area of shaded portion = 72 square inches
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Of the three functions in the tables, which represent linear relationships?
Answer:
D. f and h
Step-by-step explanation:
The function f is a liner function because for every increase in x, there is a proportional increase in f(x). This can be seen when the x value goes from 2 to 4, so a 2 unit increase, the f(x) value increases by 3. Since this is true for every interval of 2 in f(x) -- increase x by 2 results in an increase in 3 of f(x) -- then f(x) is a linear function.
The same principle can be applied to h(x), with each 4 unit increase in x, the h(x) value increase by 36.
The function g(x) is not a linear function because for each unit increase of x, there is not a proportional increase (or decrease) in g(x). As seen in the table, g(2)-g(1)= 8-4= 4. For g(x) to be a linear function, every other one unit increase in x should result in a 4 unit increase in g(x0. But this does not occur. g(3)-g(2)= 16-8= 8 , g(4)-g(3)= 32-16= 16, 8 and 16 are not equal to four so g(x) cannot be a linear function.