Answer:
1/16
Step-by-step explanation:
........ .. .............
The correct answer is option D which is the side length will be (64n)¹⁸.
<h3>What is the area of the square?</h3>
The square is defined as a quadrilateral having all four sides equal to each other and the area of the square is the product of its sides.
Given that:-
- The area of the square is given as- A = (64n)³⁶.
The sides of the square will be calculated as follows:-
A = (64n)³⁶
a² = (64n)³⁶ Here a = Side of the square.
a = √ (64n)³⁶
a = 64n¹⁸
Therefore the correct answer is option D which is the side length will be (64n)¹⁸.
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Here you have a system of 2 equations and 2 unknowns. An easy way to solve this type is to isolate one of the variables.
12a + 2b = 8
2b = 8 - 12a
b =
b = 4 - 6a
Now plug 4 - 6a into equation 1 to solve for a.
a + 5(4 - 6a) = 19
a + 20 - 30a = 19
-29a = -1
a = 1/29 (answer)
Now plug a into the equation for b
b= 4 - 6(1/29)
b= 110/29 (answer)
The number of years it would take sales to reach $1,750,000 is 14.65 years.
<h3>What is the number of years?</h3>
The formula that can be used to determine the number of years it would take for the sales to reach $1,750,000 is:
Number of years : In (FV / PV) / r
Where:
- FV = future level of sales - $1,750,000
- PV = present level of sales = 850,000
- r = rate of growth - 4.931998%
Number of years : In ($1,750,000 / 850,000) / 0.04931998
Number of years : In (2.06) / 0.04931998
Number of years : 14.65 years
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Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
<u>Rock the House Digital Designs</u>
<u>Elegant Home Architects</u>
===========================
<u>Answer options:</u>
1)The expression 50h represents the total charge for Rock the House Digital Designs.
-
Incorrect. Additional $500 charged.
2)The expression 75h represents the total charge for Elegance Home Architects.
3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
-
Incorrect. They will choose one of the options.
4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
-
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250
5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
- Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
