The greatest common factor is 4.
28/32 / 4 = 7/8
The <em><u>correct answer</u></em> is:
$43.20
Explanation:
The formula we have is
c = p(1+r), where c is the total cost, p is the price of the item before tax, and r is the tax rate written as a decimal. This formula comes from the fact that adding a percent tax to the cost of an item takes 100% of the price and adds r% to it; this is why we multiply the price by (1+r).
Since our tax rate is 8%, r = 8% = 8/100 = 0.08. The price of the item is $40. Using this information, we have:
c = 40(1.08) = $43.20
Since the dimensions of the length and width are equal, then the board and the picture are squares. The width of the board is the margin surrounding the picture. Let's denote the width to be x. The length of the picture plus the length of the width at both ends should equal the length of the board. So, the equation should be:
10 1/2 in = 8 3/4 + 2x
Solving for x
x = 7/8 inches
1/3 x 14
2/3 x 7
4/6 x 7
2/6 x 14
1/3 x 28/2
1/3 x 42/3
The derivative of a variable raised to exponent of n, x^n is equal to the product of n and x raised to exponent of n-1.
d(x^n) = (n)(x^n-1)
So, from the given
d(9x + 5) = (1)(9x^1-0) + 5(0)
= 9
The given value of x is irrelevant to this item because the derivative does not contain any variable x.
