3 shirts at 25.99 each : 3 * 25.99 = 77.97
plus sales tax of 5.5% : 77.97 + .055(77.97) = 77.97 + 4.29 = 82.26
Answer:
$16,028.85
Working out:
(On calculator) 42,500 x 0.85^6
Answer: The length is 13 inches and the width is 11 inches.
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the rectangle is 143 square inches. This means that
LW = 143 - - - - - - - - - - - - --1
The rectangle's length is 2 in more than its width. This means that
L = W + 2
Substituting L = W + 2 into equation 1, it becomes
W(W + 2) = 143
W² + 2W - 143 = 0
W² + 13W - 11W - 143 = 0
W(W + 13) - 11(W + 13) = 0
W + 13 = 0 or W - 11 = 0
W = - 13 or W = 11
Since the width cannot be negative, it means that W = 11
L = W + 2 = 11 + 2
L = 13
Easy
when rock is in water, it takes up a certain volume, say x
so
initial+x=final volume
luckily we have final and inital
13.7ml+x=28.9ml
minus 13.7ml both sides
x=15.2ml
the volme of the rock is 15.2ml
64^x=16^x-1====> Make the bases the same
4^3(x)=4^2(x-1)=> Solve for x by bringing down the exponent without the base.
3(x)=2(x-1)=====> Distribute
3x=2x-2======> Now solve for x
3x = 2x-2
-2x -2x
x=-2
Therefore x is negative two