Answer:
Step-by-step explanation:
Sting lights outlining the stage means that they will go around the perimeter, so we will need to find that. It gives us the area and the fact that the dimensions, length and width, will be whole numbers.
How do you find the area of a rectangle? you multiply length by width. So we need to find two numbers that multiply together to make 42. There re multiple pairs of numbers that do that, but the question is asking for what the least number of yards of string lights, so we need to find the values that make the perimeter the smallest.
Of course the perimeter is adding up all the sides. Since there are two lengths and two widths we can solve that like this
length + length + width + width
2* length + 2*width.
Now we just have to check all the options. What numbers multiply together to make 42?
2 and 21
6 and 7
14 and 3
Now we just have to check which gives the smallest perimeter
2*2 + 2*21 = 4 + 42 = 46
6*2 + 7*2 = 12 + 14 = 36
14*2 + 3*2 = 28 + 6 = 34
So the smallest perimeter is the second one, where one of the measurements is 6 yards and the other measurement is 7 yards. There's your answer.
The total graduated commission of $22000 would be $3050.
<h3>What is a graduated commission?</h3>
This is a type of commission that implies that the percentage earned by the seller is higher or lower depending on the price of the products sold.
<h3>How to calculate the comission in this case?</h3>
We know that the worker will earn 10% on first $5000; and then 15% percent over $5000.
- 5000 x 10% = 500
- 17000 x 15%= 2550
- 500 + 2550 = $3050
This means the commission in this case is $3050.
Learn more about commissions in: brainly.com/question/20987196
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Quadratic
y = ax^2 + bx + d
c (x) = ax^2 + bx + d
c (3) = a (3^2) + b (3) + d
c (3) = 9a + 3b + d = 15.50
c (7) = a (7^2 + b (7) + d
c (7) = 49a + 7b + d = 23.50
c (12) = a (12^2) + b (12) + d
c (12) = 144a + 12b + d = 56
solve using simultaneous equations... to get a b and d
use that to solve for x = 5
hope this helps?
First we need to get x
<RNA = <ENV [v.o.a]
8x+12=5x+57
8x-5x=57-12
3x=45
x=15
<ENV= (5×15+57)
<ENV =132
the answer is D