Answer:
$200
Step-by-step explanation:
She paid 85% of the original price (since it was discounted 15%)
So
187 = 0.85x (where x is the original price, and 0.85 is 85% as a decimal)
This reads as "187 is 85% of some value". In this case, the value is the original price we are looking for. Solve this equation to find x
187 = 0.85x
220 = x (divide both sides by 0.85 to isolate x)
We need to solve the zeroes of the given expression x² - 13x + 30 = 0 and we need to apply zero product property.First, we need to identify the two numbers which will result to -13 when added and it will result to 30 when multiplied. These two numbers are -3 and -10. Then, we can proceed with the solution such as:
x² - 13x + 30 = 0
(x-3) (x- 10) =0
From above, we have already the two zero product:
x-3 = 0
x1 = 3
x-10 =0
x2 =10
The answers are x1 = 3 and x2 = 10.
Let say the length of the rectangle is x. The material that can be used would determine the perimeter of the rectangle. Using the perimeter formula you can find the rectangle width
perimeter= 2(width+length)
400= 2(width + x)
200= width+x
width= 200-x
The function to determine the area would be:
area= length * width
area= x* (200-x)
area= 200x- x^2
To find the highest area you need to find out the vertex by finding the value of x when the differentiate of the function equal to zero.
dx/dy= 200- 2x = 0
2x= 200
x=100
If you put x=100 into the area function you will find
area= 200x- x^2
area= 200(100)- (100)^2
area= 20,000 - 10,000= 10000 feet^2
A.-32
Ignore the negatives and add. Then put back the negatives