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.
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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.
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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.
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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
Answer:
64 boys.
Step-by-step explanation:
There are 3 girls for every 8 boys.
24/3 = 8
8 * 8 = 64
<span>His earned income level are as follows.
The base amount is $14,138.50
</span><span><span>The amount over $62,450 = $82,500 - $62,450 =$20,050
The amount of tax on the third $20,050 is given by 31% of $20,050 = 0.31 x $20,050 = $6,215.5</span>
(i.e. Multiply line 3 by 31% = $6,215.5)
Total tax = $ 14,138.50 + $6,215.50 = $20,354
(i.e. Add lines 2 and 4 = $</span>20,354)
12.7
Using the Pythagorean theorem, you can easily calculate the length of BC.
So:
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So:
BC/sin(55) = CD/sin(90)
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD
