In the beginning of BS 2077, Dolma deposited Rs 1,20,000 in her account a rate of 9% p.a. If she paid 5% of her interest as income tax, how much amount did she receive in the beginning of BS 2080?
Answers
Dolma will receive Rs.153,486.69 at the beginning of BS 2080 as detailed below
What is effective after-tax rate of return?
The effective after-tax rate of return in this case is determined as the 9% deposit return rate multiplied by 1 minus the tax rate as stated below:
effective after-tax rate of return= gross rate of return*(1-tax rate)
The gross rate of return is the return on the deposit before considering the tax rate.
gross rate of return=9%
tax rate=5%
effective after-tax rate of return=9%*(1-5%)
effective after-tax rate of return=8.55%
The future value of the deposit after three years(beginning of 2077-2080=3years), is determined using the future value formula of a single cash flow below:
FV=PV*(1+r)^N
FV=future value after 3 years=unknown
PV=Rs.120,000
r=8.55%
N=3
FV=120000*(1+8.55%)^3
FV=120000*(1,0855)^3
FV=120,000*1.279055776375
FV=Rs.153,486.69
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Related Questions
On weekdays, a bakery sells 240 cupcakes per day. If the bakery sells 330 cupcakes per day on weekends, by what percent do the sales increase?
Answers
Answer:
Percentage increase= 37.5%
Step-by-step explanation:
Giving the following information:
Sales on weekdays (Q0)= 240 units
Sales on weekends (Q1)= 330 units
To calculate the percentage increase, we need to use the following formula:
Percentage increase= [(Q1/Q0) - 1]*100
Percentage increase= [(330/240) - 1]*100
Percentage increase= 37.5%
Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising
Answers
Answer:
(a) (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising
(b) you should invest more when dP/dt > 0
Step-by-step explanation:
a)dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.
__
b)Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.
When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.
pls help me asap"! pls answer this
Answers
Answer:
im sorry i dont know i like ur pfp tho!! :3
Step-by-step explanation:
i dont know i like ur pfp tho!! :3
WHATS THE ANSWER?? answer ASAP
Answers
Prepare the Sales Budget assuming: 1. Expected sales volume: 8,000 units for the first quarter, an increase of 20% is expected for the second quarter, a decrease of 10% for the third quarter, and an increase of 25% for the fourth quarter. 2. The sales price should be $75.00 for the first two quarters and $82.50 for the last two quarters.
Prepare the Production Budget assuming: 1. The company believes it can meet future sales needs with an ending inventory of 25% of the next quarter, for the first two quarters, and 35% of the next quarter, for the last two quarters. 2. The expected sales in units for the first quarter of 2021 is 11,000.
Answers
Answer:
Sales budget $ for the 4 quarters is $ 600,000 $ 720,000 $594000 and $ 825,000
Production Budget in units for the four quarters i s 7997.6 9000 8900 and 10,350 units
Step-by-step explanation:
Sales Budget
Quarters I II III IV
Sales Volume 8000 9600 7200 10,000
Sales Price $75.00 $75.00 $ 82.50 $82.50
Sales $ 600,000 720,000 594000 825,000
We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.
Production Budget
Quarters I II III IV
Sales Volume 8000 9600 7200 10,000
+ Desired
Ending Inv. 2400 1800 3500 3850
Less Opening ----- 2400 1800 3500
Production 7997.6 9000 8900 10,350
We find the production budget units by adding the desired ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .
HELP NEED ASAP!!! PLEASE HELP ME OUT
Answers
The value of x that will make both lines A and B to be parallel is: 20
How to solve Line transversal theorem?The line transversal theorem states that:
If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.
Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:
3x + 20 = 80
3x = 80 - 20
3x = 60
x = 60/3
x = 20
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Which symbol correctly relates 23 ? 16 check all that apply
Answers
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
A box of snack size
cracker packs weighs 28½ ounces. Each
snack pack weighs 4¾
ounces. How many snack packs are in the
box?
Answers
999999999999999999..j
Safeco growth rate for the future is 8% recent dividends 1.76
What is the value of the stock when the required return is 10%
Answers
The value of a 10% stake is given as $88.
The formula for the Gordon growth model is:
Stock Price = Dividend / (Required Yield - Growth Rate)
Substituting the given values gives:
Stock price = 1.76 / (0.10 - 0.08) = 1.76 / 0.02 = $88
What are Stocks
Stocks are documents that prove that someone owns a share of the capital of a company. A person who owns shares has the right to some of the company's assets. For example, if a company issues 1000 shares of stock and a person owns 200 shares in that company, that person actually owns 20% of the assets in that company. Majority shareholders will have control rights over a company.
Shareholders also have the right to receive dividends according to the number of shares they own. The acquisition of these dividends usually depends on the profits of the company and has been regulated in accordance with the company's articles of association.
Issuing shares is one way for companies to get fresh funds or capital for long-term business development. Shares themselves can be traded through the Stock Exchange at prices that change according to company conditions and economic conditions.
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If only 4 out of every 10 eighteen-year olds vote on election day, how many eighteen year-olds will not be voting on election day in DC if there are a total of 20,000 eighteen year olds in DC?
Answers
Let
x ------> eighteen year-olds will be voting on election day
y ------> total of eighteen year-olds
we know that
x/y=4/10
x=(4/10)y -------> equation A
In this problem we have
y=20,000
find the value of x
x=(4/10)20,000
x=8,000
But remember that x is eighteen year-olds will be voting on election day
so
To find out how many eighteen year-olds will not be voting on election day
subtract from the total
20,000-8,000=12,000
the answer is 12,000
Help I need help this is hard
Answers
introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. a) What is the probability that their first child will have green eyes and the second will not? b) What is the probability that exactly one of their two children will have green eyes? c) If they have six children, what is the probability that exactly two will have green eyes? d) If they have six children, what is the probability that at least one will have green eyes? e) What is the probability that the first green eyed child will be the 4th child? f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
Answers
The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.
What is a probability?Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.
In the given question,
a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.
b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.
c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:
P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.
d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.
e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.
f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:
P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.
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I am struggling and I would be so happy if any of you helped me. Can someone help me with the last two red boxes please? The rest of the question is for reference to help solve the problem. Thank you for your time!
Answers
Answer:
I think you can go with:
The margin of error is equal to half the width of the entire confidence interval.
so try .74 ± = [ .724 , .756] as the confidence interval
Step-by-step explanation:
Select four statements from the invertible matrix theorem and show that all four statements are true or false
This learning module introduced the invertible matrix theorem. This theorem is a collection of 12 equivalent statements. This means that when one statement in the theorem is true, all statements in the theorem are true. Similarly, when one statement in the theorem is false, all statements are false. For your initial post, propose a specific n x n matrix A, where n >= 3. Select four statements from the invertible matrix theorem and show that all four statements are true or false, depending on the matrix you selected. Make sure to clearly explain and justify your work. Also, make sure to label your statements using the notation used in the notes (e.g., part (a), part (f), etc.).
Theorem (The Invertible Matrix Theorem): Let A be an n x n matrix. Then the following statements are equivalent:
A is an invertible matrix.
A is row equivalent to the n x n identity matrix.
A has n pivot positions.
The equation Ax = 0 has only the trivial solution.
The columns of A form a linearly independent set.
The linear transformation x à Ax is one-to-one.
There is an n x n matrix C such that CA = I.
There is an n x n matrix D such that AD = I.AT is an invertible matrix.
Answers
Answer:
A) A is an invertible matrix ( TRUE )
B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )
C ) The equation Ax = 0 has only the trivial solution ( TRUE )
D ) The columns of A form a linearly independent set ( TRUE )
Step-by-step explanation:
Assuming a matrix A
\(\left[\begin{array}{ccc}1&2&1\\-1&0&3\\4&1&5\end{array}\right]\)
det A = 1 [ 0 -3 ] + 2 [12 + 5 ] + 1[-1]
= -3 + 34 -1 = 30 ≠ 0
THEREFORE det A = 30 ≠ 0
Attached is the detailed solution of the given statements above
There are 40 children watching a magic show. 24 of the children are boys, and 16 of the children are girls. The magician needs to select 4 children to help him with his show. What is the probability that all 4 helpers will be girls
Answers
Answer:
1.99%. (2% rounded)
Step-by-step explanation:
The total number of ways to select 4 children out of 40 is given by the combination formula:
C(40,4) = 40! / (4! * (40-4)!) = 91,390
The number of ways to select 4 girls out of 16 is given by the combination formula as well:
C(16,4) = 16! / (4! * (16-4)!) = 1,820
Therefore, the probability of selecting 4 girls out of the group of 40 children is:
P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%
So the probability that all 4 helpers will be girls is approximately 1.99%
Hope this helps!.
VI
Use the table to answer the question.
* 0 1 3 4 6
y 0 1 9 16 36
Which equation represents the relationship between x and y in the table?
O A y=x²
O B. y = xo
O
C. y = 4x - 3
.
D. y = (x + 1)2
Answers
Answer:D hope it helped
Step-by-step explanation:
Answer:
d I think tbh I don't know
Step-by-step explanation:
you take them and times it by the number you had
A DJ working a wedding charges a flat fee of $200 plus $55 per hour. Find the cost of the DJ when she works 5 hours.
Answers
Answer:
\(200+(55*5)\\=200+275\\=475\)
Step-by-step explanation:
First, as a constant we add $200 because never mind how long she works, she'll always get $200. After that, we add the multiplied result of $55 times 5 hours. And, that's the final result. After 5 hours, she'll get $475.
The DJ will charge $475 for 5 hours.
What is a linear equation?Linear equations are equations of degree one. A linear equation is an equation that is written for two different variables. This equation will be a linear combination of these two variables, and a constant can be present.
Given that a DJ will charge $200 plus $55 per hour for a wedding,
We need to find the charges for a 5-hour wedding function,
Let y be the total cost he charges for x the number of hours,
So this relation will construct a linear equation,
y = 200 + 55x
Now, by using this equation we can find his total cost for any number of hours,
Therefore, for 5-hour, put x = 5,
y = 200 + 55(5)
= 200 + 275
= 475
Hence, the DJ will charge $475 for 5 hours.
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Please help this is hard
Answers
Step-by-step explanation:
\( \sqrt{100} = 10 \\ \sqrt{4} = 2 \\ \sqrt{64} = 8 \\ \sqrt{16} = 4 \\ \sqrt{25} = 5 \\ \sqrt{1} = 1 \\ \sqrt{49} = 7 \\ \sqrt{36} = 6\)
Answer:
1 - 10
2 - 2
3 - 8
4 - 4
5 - 5
6 - 1/2
7 - 7
8 - 6
Step-by-step explanation:
WILL GIVE BRAINLIEST 2x-y=-3 write im slope-intercept form pls step by step or no brainliest
Answers
Answer:
Your slope is -3/2 and your y-intercept is -3/2
Step-by-step explanation:
Let's solve for x.
2x−y=−3
Step 1: Add y to both sides.
2x−y+y=−3+y
2x=y−3
Step 2: Divide both sides by 2.
2x/2=y−3/2
x=1/2y+−3/2
The temperatures at four locations are 5°, –15°, –7°, and 0°.
Which list shows these temperatures from coldest to warmest?
A. –15°, –7°, 0°, 5°
B. 0°, 5°, –7°, –15°
C. 5°, 0°, –7°, –15°
D. –15°, –7°, 5°, 0°
Answers
Answer:
A
Step-by-step explanation:
Can someone please help and thank you:)
Answers
Answer:
8.25
Step-by-step explanation:
A=a+b
2h=6+5
2·1.5=8.25ft²
Answer:
8.25 ft²
Step-by-step explanation:
According to the formula in the image, we would get 8.25
A = 5 + 6
2 × 1.5 = 6 + 5
8.25ft²
Professor Bowdidge taught four business statistics classes during the fall semester with the following grade averages for each class: 74%, 82%, 86%, and 91%. Calculate the mean (round to the nearest hundredth). A. 83.00% B. 83.12% C. 85.00% D. 83.25%
Answers
By using the mean formula, the mean grade across all four classes was 83.25%.
What is mean?The mean is a measure of central tendency that represents the average value of a set of data
What is formula to calculate mean?The formula for calculating the mean:
Mean = (x1 + x2 + x3 + ... + xn) / n
Where:
x1, x2, x3, ..., xn are the individual values in the set
n is the total number of values in the set
Mean = (74 + 82 + 86 + 91) / 4
Mean = 333 / 4
Mean = 83.25
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7. Order the following integers from least to greatest: 0,5,18,100,22
Answers
Answer:
0, 5, 18, 22, 100
Step-by-step explanation:
Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.
Hope This Helps :)
Choose the expression that is equivalent to the expression n − n + n − n.
Answers
1. The rectangle shown is dilated by a scale factor of 3. (a) Calculate the length of each side of the dilated image. (b) Draw the new image and label it .
Answers
According to the information, the dilated rectangle would have the dimensions of 2.66cm on the side and 5cm on the base.
How to calculate the length of each side of the dilated image?To calculate the dimensions of each side of the dilated figure we must identify the dilation factor. In this case it is 3, so we must divide the length of each side into the number of the expansion factor as shown below:
8 / 3 = 2.6615 / 3 = 5According to the above, the dilated rectangle would remain with the dimensions of 2.66cm on the side and 5cm on the base.
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Suppose you earn 2% cash back at grocery stores and 1% on all other purchases. If you spent $485.72 at the grocery store and $671.28 on all other purchases, how much would your cash back be?
Answers
Answer:
$16.43.
Step-by-step explanation:
At the grocery store, you spent $485.72. With 2% cashback, you would get 485.72 * 0.02 = 9.7144 dollars worth of cashback.
At other places, you spend $671.28. With 1% cashback, you would get 671.28 * 0.01 = 6.7128 dollars worth of cashback.
9.7144 + 6.7128 = 16.4272, which is about $16.43 of cashback.
Hope this helps!
The amount of cashback that you earned will be $16.42.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
Suppose you earn 2% cash back at grocery stores and 1% on all other purchases. If you spent $485.72 at the grocery store and $671.28 on all other purchases.
The total cashback is calculated as,
⇒ 0.02 x $485.72 + 0.01 x $671.28
⇒ $9.71 + $6.71
⇒ $16.42
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A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answers
Answer:
Step-by-step explanation:
322.14 cm²
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answers
Answer:
Step-by-step explanation:
what does translation mean?
Answers
translation means moving a geometric object in the cartesian plane without rotating it.
Sam invested $7500, some at 7% interest and the rest at 10%. How much did he invest at each rate if he received $570.00 in interest in one year?
Answers
Answer:
.
Step-by-step explanation: