Answer:
Step-by-step explanation:
Suppose the cost C(x), to build a football stadium of x thousand square feet is approximated by C(x) = 7,250,000/x + 60. Given the function, we can substitute values for x to determine the cost of a particular size of stadium or we can substitute values for C(x) to determine the number of square feet.
if the cost of the stadium was $8,000, the, we would determine the size of the stadium, x by substituting x $8,000 for C(x). It becomes
8000 = 7250,000/x + 60
8000 - 60 = 7250000/x
7940 = 7250000/x
7940x = 7250000
x = 7250000/ 7940
x = 913 ft^2
First, let's find out the equivalent amount of one-sixth of the total length of 8 ft.
Length of cut = 8(1/6) = 4/3 ft
So, the remaining length would be:
Remaining length = 8 ft - 4/3 ft = 20/3 ft or that's 6 and 2/3 ft.
Since there are 12 inches in 1 ft:
2/3 ft * 12 in/ft = 8 inches
Thus, the remaining length is 6 ft and 8 inches.
There is a missing graph in the problem given. However, we can simply solve the equation using the given data.
Items to be sold: scarves and hats. Minimum of 20 items sold in all.
Scarves sell for 10 each and hats sell for 20 each. Must sell at least 300 worth of merchandise to make profit.
Let s represent scarves and h represent hats.
10s + 20h <u>></u> 300
s + h <u>></u> 20
We use inequality because the problem states "at least".
s + h = 20
10s + 20h = 300
s = 20 - h
10(20-h) + 20h = 300
200 - 10h + 20h = 300
10h = 300 - 200
10h = 100
h = 100/10
h = 10
s = 20 - h
s = 20 - 10
s = 10
s + h <u>></u> 20
10 + 10 <u>></u> 20
10s + 20h <u>></u> 300
10(10) + 20(10) <u>></u> 300
100 + 200 <u>></u> 300
18= 0.5 (b)(h)
36=(6c)(c-1)
6c^2-6c-36=0
6(c^2-c-6)=0
6(c-3)(c+2)=0
c= 3 or c=-2 but you cant use the negative because your measurement can not be negative, so c=3.
now plug into the original equation.
base is c-1 3-1=2
height is 6c= 6(3)=18
Original price was $234.95
49% marked down = $234.95 *49 / 100 = $115.13
So now the sale price = original price - price of 49% marked down
sale price = $234.95 - $115.13 = $119.82
Answer: sale price of a DVD player having a red tag marked down by 49% should be $119.82
