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Alik [6]
4 years ago
5

He kelly family and the stewart family each used their sprinklers last summer. the water output rate for the kelly family's spri

nkler was 20l per hour. the water output rate for the stewart family's sprinkler was 40l per hour. the families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 2100l . how long was each sprinkler used?
Business
1 answer:
tigry1 [53]4 years ago
8 0
This problem is actually under the subject of Mathematics, particularly, Algebra. For work problems, you can use a convenient technique of dimensional analysis. This is done by multiplying units of measurement, then cancelling out like terms in order to come up with the units of the final answer. For this problem, the total amount of liters is 2,100. So, the equation would be

Volume of Kelly's family + Volume of Stewart's family = 2,100

However, we are only given the rates for each family in liters per hour. To come up with the final answer with a unit of measurement in Liters, we must multiple the rate of L/hour with the individual time. Let x be the time Kelly's sprinkler was used, and y for Stewart's family.

(20 L/h)(x hours) + (40 L/h)(y hours) = 2,100

This is the first equation. The second equation is the total time. 

x + y = 65 hours

Rearranging the equation, y = 65 - x. Let's substitute this to the first equation.

20x + 40(65-x) = 2,100

Solving for x, then substituting it to the second equation to obtain y,

x = 25 hours
25 + y = 65
y = 40 hours.

Thus, Kelly's sprinkler was used for 25 hours, while Stewart's sprinkler was used for 40 hours.
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3 years ago
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The expected before-tax IRR on a potential real estate investment is 14 percent. The expected after-tax IRR is 10.5 percent. Wha
NeX [460]

Answer:

25%

Explanation:

The expected before-tax IRR on a potential real estate investment is 14%

The expected after-tax IRR is 10.15%

Therefore, the effective tax rate on this investment can be calculated as follows

Effective tax rate= 1-(after-tax IRR/before-tax IRR)

Effective tax rate= 1-(10.15/14)

= 1-0.75

= 0.25×100

= 25%

Hence the effective tax rate is 25%

6 0
3 years ago
Think of a time when effective or ineffective communication affected your success at home, school, or work.In paragraph 1, descr
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Answer:

Explanation:

<u>How ineffective communication can affect your success at home, school, or work</u>

1. At home, ineffective communication can build hatred among family members. One person doesn't have to do something offensive before hatred is thrown at him or her. An inactivity (something person A expects or expected of person B but that person B didn't do) could cause some feud and transfer of aggression from person A to person B.

Person A is/was supposed to out-rightly tell the problem to person B, instead of getting upset that person didn't notice his/her sore mood.

(b) In the case of safety, members of a home should let one another know their movements, even if they don't say the exact destination.

2. At school, there are teachers, students and administrators. A wise student (especially at the higher education level) should communicate with classmates so as to find out information from the lecturer or teacher and ensure he/she is on track. Every student should also communicate with teachers and administrators (either directly or through their parents), in order to know new rules and regulations, as well as news.

3. At work, interpersonal communication skills are necessary for survival. Emotional intelligence or endurance of staff, boss, and consumer characters is key. All feelings shouldn't be made obvious, including feelings of excitement. Moves such as moves to leave the company, should be kept private.  

4 0
3 years ago
Suppose sellers of perfume are required to send $1.00 to the government for every bottle of perfume they sell. Further, suppose
amm1812

Answer:

a. The effective price received by sellers is $0.40 per bottle less than it was before the tax.

Explanation:

When government imposes tax on a product, a seller's margin on such a product falls which the seller tries to recover from the buyer by raising the price of the product.

In the given case, $1 is tax payable to government out of which the seller recovers $0.60 from the buyer via increased price. So, the remaining $0.4 tax is being paid by the seller out of his own pocket.

Effective price received refers to net amount received by the seller after deducting expenses and taxes. So, in the given case, the seller now receives $0.4 less per bottle than the receipts before such tax was imposed.

5 0
3 years ago
Brad has purchased a new boat for $20,000. He paid $3,000 as down payment and he paid the balance by a loan from his hometown ba
Pachacha [2.7K]
  • Monthly payment = $753.45
  • Interest in first month = $85

First remove the amount paid as down payment:

= 20,000 - 3,000

= $17,000

The amount to be paid monthly is a constant amount which would make it an Annuity.

The $17,000 is the present value of this Annuity so the formula for present value of annuity can be used to find the annuity.

The payment is monthly so the rate and number of periods needs to be converted:

Rate = 6%/12 = 0.5%

Period = 2 x 12 = 24 months

Annuity is:

<em>Present value of Annuity = Annuity x ( 1 - (1 + rate) ^- number of periods) / rate </em>

17,000 = A x ( 1 - ( 1 + 0.5%)⁻²⁴) / 0.5%

17,000 = A x 22.5628662

A = 17,000 / 22.5628662

A = $753.45

The interest in the first month is:

<em>= Interest rate x Amount borrowed </em>

= 0.5% x 17,000

= $85

In conclusion, the monthly payments will be $753.45 and the interest in the first month will be $85.

<em />

<em>Find out more at brainly.com/question/20691724.</em>

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