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kaheart [24]
3 years ago
5

The cost of equipment to apply epoxy paint to a warehouse floor is $1,400. Materials and supplies (masking tape, surface repair

material, solvents, cleanup supplies, etc.) will cost $2.03 per ft2. Alternatively, a contractor can be hired annually to do the job for $3.25 per ft2. If the cost of the equipment will be recovered at i = 10% per year over a three-year period with no salvage value, the number of square feet that must be treated each year to justify the equipment purchase is closest to:
A. 1148 ft^2
B. 953 ft^2
C. 2457 ft^2
D. 460 ft^2.
Business
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer:

D. 460 ft^2

Explanation:

Given That:

Cost of Equipment Purchased = $ 1400

useful life = 3 years

recovery rate of equipment =10%

Materials & Supplies cost ( Variable cost) = $ 2.03 / Sq.ft

If the Work is alternatively taken care (hired) by the contractor  

Amount payable to contractor for the job ( variable cost ) = $ 3.25 / Sq.ft

Now;

Savings in Variable cost due to purchase of Equipment ( $ 3.25 - $ 2.03) = $ 1.22

Equipment cost to be recovered per year = Cost of Equipment / PVAF ( r%, n years)

= $ 1,400 / PVAF ( 10%, 3years)

= $ 1,400 / 2.49

= $ 562.25

Minimum usage required = Cost of equipment to be recovered per year / Savings in variable

= $ 562.25 / $ 1.22

= 460.85

Minimum usage to be worth for purchasing equipment = 460 ft²    

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A wool​ suit, discounted by 60 % for a clearance​ sale, has a price tag of $ 620. What was the​ suit's original​ price?
never [62]

Answer:

$1,550

Explanation:

Given that

Price tag = $620

Discount percentage = 60%

By taking the information,

The computation of the suit original price equal to

= Price tag ÷ (1 - discount percentage)

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Therefore, the suit original price is $1,550 after considering the discount percentage and the price tag.

6 0
3 years ago
The Centers for Disease Control and Prevention (CDC) defines a healthy sleep duration
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a. The point estimate of the married people that sleep well is = 0.6299. The confidence interval for the mean hours of sleep for those that have never been married but report good sleep is 0.6186, 0.6412

b. The point estimate of the number of hours for people that have never been married = 7.2257

95% confidence interval for the mean number of  hours of sleep for those who have never been married = 7.2065, 7.2447

c. the estimated number of sleep for those that have never been married = 7.729 hours

a. The point estimate

P=\frac{Xp}{n}

Xp = successes\\n = sample size\\

Those who have never been married n = 7044

Xp = those who sleep for 7 hours at least

To get Xp, the <u>excel function </u>

Countif(range, criteria)

Countif(A:A, >=7)

This gives Xp = 4437

Point estimate =

\frac{4477}{7044}

= 0.6299

The point estimate of the married people that sleep well is = 0.6299

At 95% interval of confidence,

α = 1-0.95 = 0.05

α/2 = 0.05/2 = 0.025

Z0.025 = 1.96 ( Use the standard probability normal table)

Margin of Error

=M.E = 1.96\sqrt \frac{0.6299(1-0.6299)}{7044} \\\\= 1.96\sqrt{0.000033} \\\\1.96*0.0057

= 0.0113

The 95% confidence interval

= 0.6299 - 0.0113 , 0.6299 + 0.0113

= 0.6186, 0.6412

The confidence interval for the mean hours of sleep for those that have never been married is 0.6186, 0.6412

b. Sample mean

x = ∑x/n

x = number of sleep of the never been married

Mean is calculated using excel function

Average(range)

Average(a:a)

This gives the sample mean = 7.2257

The point estimate of the number of hours for people that have never been married = 7.2257

<u>Standard deviation</u> using excel =

Stdev(A:A) = 0.8211

Margin of error =1.96*\frac{0.8211}{\sqrt{7044} }

= 0.0192

The<u> confidence interval</u> =

= 7.2257-0.0192, 7.2257+0.0192

= 7.2065, 7.2447

95% confidence interval for the mean number of  hours of sleep for those who have never been married = 7.2065, 7.2447

c. From the available data, the mean number of sleep per day that is gotten from the 4437 people that are unmarried and sleep healthily for at least 7 hours = 34295.1

Mean = 34295.1/4437

= 7.729

the estimated number of sleep for those that have never been married = 7.729 hours

Read more on brainly.com/question/15601189?referrer=searchResults

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Answer:

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Explanation:

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Answer:

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