The cost of renting the car every day is going to be y=18n+120 so if you plug 8 into n you get 264
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
I would say that the length would be 2 inches, the width to be 6 feet and the area to be 144. I would say this because in order to find the area, you would need to convert 6 feet into inches. There are 12 inches in a foot. So it would be 72 inches. In order to find area you multiply the length by the width. So it would be 72 time 2, this is equal to 144. Hope this helps :)
6%
You want to calculate the interest on $12000 at 6% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $12000.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 12000 × 0.06 × 5 to get that:
The interest is: $3600.00
