a landscape archetiect is hired to build a garden which is of the shape of a right traingle. suppose the architech wants to use a brick wall on the side of AC costing $9/ft and a metal fence on the side costing $3/ft suppose the architect has $1620 budget. what is the maxmum area the architect can build with he budget

Answers

Answer 1

Answer:

Maximum Ares architect can build is 36,450 [tex]ft^{2}[/tex]

Explanation:

Suppose

The Perpendicular of the triangle = l

The Base of the triangle = b

The hypotenuse of the triangle = h

The hypotenuse of the triangle can be calculated as follow

h = [tex]\sqrt{l^{2} b^{2} }[/tex]

Total Budget = $1,620

As the architect does not want to build anything on the hypotenuse of the triangle area.

So as per given condition

( $9 x l ) + ( $3 x b ) = $1,620

$3 ( 3l + b ) = $1,620

3l + b = $1,620 / $3

3l + b = 540

b = 540 - 3l ...........(1)

Area = 1/2 x l x b

using (1) we will have

Area = 1/2 x l x ($540 - 3l)

Now differentiating w.r.t l

[tex]\frac{d(area)}{dl}[/tex] = [tex]\frac{\frac{1}{2} [ 540l - 3l^{2}] }{dl}[/tex]

0 =  [tex]\frac{1}{2} [ 540 - 6l] }[/tex]

0 = 540 - 6l

6l = 540

l = 540/6

l = 90 ft

Placing value of l in (1)

b = 540 - 3(90)

b = 540 - 270

b = 270

So, Maximum area will be calculated as follow

Maximum Ares = [tex]\frac{1}{2}[/tex] x 270 x 270

Maximum Ares = 36,450 [tex]ft^{2}[/tex]


Related Questions

Lucy's Music Emporium opened its doors on January 1, 2015, and it was granted permission to use the same depreciation calculations for shareholder reporting and income tax purposes. The company planned to depreciate its fixed assets over 20 years, but in December 2015 management realized that the assets would last for only 15 years. The firm's accountants plan to report the 2015 financial statements based on this new information. How would the new depreciation assumption affect the company's financial statements? a. The firm's reported 2015 earnings per share would increase. b. The firm's EBIT would increase. c. The firm's net liabilities would increase. d. The firm's reported net fixed assets would increase.

Answers

Answer:

The firm's cash position in 2015 and 2016 would increase.

Explanation:

In the case when the life of an asset would decrease that represents the depreciation would rise and if the depreciation rise so the EBIT and EPS would reduced and in the case when the EBIT reduced, so automatically the tax expense is also reduce

So, the cash position of the firm woud increase

Hence, the above represents the answer

To make valid computations of adjustments for the sales comparison approach to value, elements of comparison must be applied in a specific order. Which one of these elements listed has the highest priority?

Answers

Hello. You forgot to enter the answer options. The response options are:

Location

Market conditions

Conditions of sale

Physical characteristics

Answer:

Physical characteristics

Explanation:

The physical characteristics of the analyzed system, must have priority in determining the approach of comparing sales to value. This is because these characteristics have a strong influence on the composition of the product and the constancy of sales, in addition to determining the entire functioning of the system.

The one of the element that has the highest priority is Physical characteristics

The following information should be considered:

The physical characteristics of the analyzed system, must have priority in determining the approach of comparing sales to value. This is due to the characteristics that contains a strong influence on the composition of the product and the constancy of sales, in addition to measure the overall functioning of the system.

Learn more: brainly.com/question/16911495

A well-known fashion brand in Pakistan recently faced a scandal. The owner's husband got arrested for allegedly sending their employee away upon diagnosis of Corona virus. The Police claimed the designer and her husband should have notified the authorities and admitted the sick employee to a hospital. However, the couple claimed their duty was to just send the employee away after guiding him. The husband got released the very next day for which they thanked Prime Minister.

Answers

Answer:

ok

Explanation:

is this real ?? when did this happen ?

A pizza monopolist employing third-degree price discrimination charges students $10 per pizza and everyone else $15 per pizza Students must show the ID before they can get the discount The marginal cost of this monopolist is $5 whether or not the customer is a student. The price elasticity of demand for the students is

Answers

Answer:

The price elasticity of demand for the students is:

inelastic.

Explanation:

The price elasticity of demand for the students is inelastic because there is no change in the quantity demanded by students that changes the price at which pizza is sold to the students.  If one student buys the pizza, the price charged remains $10 and if 1,000 students buy the pizza, the price remains $10 per unit.  Therefore, students' demand for the pizza is said to be static irrespective of price because the price is fixed.

Consider the exchange rate between Lebanon and Canada. Typically, exchange rates vary over time, sometimes quite dramatically. The scenarios present various changes that may affect the exchange rate. Identify whether each scenario will tend to cause an appreciation, depreciation, or have no effect on the exchange rate of Lebanese pounds relative to Canadian dollars. The magazine The Economist publishes an article indicating that analysts expect the value of Canadian dollars to rise relative to Lebanese pounds. The central bank in Lebanon announces that it is going to raise interest rates on government bonds. Based on a World Bank report, the inflation rate in Lebanon is going to be 5% next year, whereas the inflation rate in Canada is going to be 9.5% . The price of a specific basket of goods in Lebanon is roughly 1.3 times higher than the price of an identical basket of goods in Canada even after adjusting for the exchange rate.

Answers

Answer and Explanation:

1. The magazine The Economist publishes an article indicating that analysts expect the value of Canadian dollars to rise relative to Lebanese pounds: if the expectation from analysts is that the value of Canadian dollars will rise relative to Lebanese pounds then the demand for Canadiam dollars will increase therefore increasing the value/appreciate relative to Lebanese pounds.

2. The central bank in Lebanon announces that it is going to raise interest rates on government bonds: This will bring about appreciation in Lebanese pounds relative to Canadian dollars since increase in interest rate in bonds increases investment in government bonds in Lebanese pounds.

3. Based on a World Bank report, the inflation rate in Lebanon is going to be 5% next year, whereas the inflation rate in Canada is going to be 9.5%: A high inflation rate is a negative for the economy. Since inflation rate increases for both economies, there is likely to be a counter effect hence no effect on exchange rates.

4. The price of a specific basket of goods in Lebanon is roughly 1.3 times higher than the price of an identical basket of goods in Canada even after adjusting for the exchange rate: if this basket of goods is used in calculation of consumer price index(CPI) which is representative of the rate of inflation in the economy, then Lebanese pounds will depreciate relative to Canadian dollars since inflation rate has increased relative to the Canadian economy.

Kaelyn's mother, Judy, looks after Kaelyn's four-year-old twins so Kaelyn can go to work (she drops off and picks up the twins from Judy's home every day). Since Judy is a relative, Kaelyn made sure, for tax purposes, to pay her mother the going rate for child care ($6,460 for the year). What is the amount of Kaelyn's child and dependent care credit if her AGI for the year was $37,600

Answers

Answer:

Kaelyn's child and dependent care credit is:

$2,100.

Explanation:

a) Data and Calculations:

Going rate for child care for twins = $6,460

Maximum allowed = $6,000

Kaelyn's AGI for the year = $37,600

Percentage of child and dependent care credit = 35% of the allowed maximum for two children

b) The maximum qualified child and dependent care expense is $6,000 ($3,000 each) that Kaelyn can claim for the twins.  Therefore, her child and dependent care credit is 35% of $6,000, which equals $2,100.

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