Answer:
First i tough 8.5, but then realized the 2's
would go for 17
Oh come on!! Look at this:
If 2/3 ton of gravel covers 3/4 of a driveway, you need to divide 2/3 divided by 3 to find how much is needed for 1/4 of the driveway. So first step:
1. 2/3 divided by 3 = 2/3 * 1/3. So 2/9.
2. Add 2/3 plus 2/9= 8/9 ton of gravel to cover the whole driveway.
For the carpet:
Given:
Area = x^2 + x - 20 ft^2
Length = x+ 5 ft
As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:
__x_-_4___x + 5|x^2 + x - 20 x^2 + 5x -------- -4x - 20 -4x - 20 -------- 0
Therefore, the expression of width = x - 4.
Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:
Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.
Therefore, the carpet is 25ft x 16ft.
For the wall:
The same principles apply to the wall as it is also assumed to be rectangular.
Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2
To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:
__x_+_15______x + 2|x^2 + 17x + 30 x^2 + 2x -------- 15x + 30 15x + 30 --------- 0
Therefore, the expression for the wall's length is x + 15.
Applying the value of x = 20 to obtain the wall's dimensions:
Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.
Therefore the wall has measurements of 35ft x 22ft.</span>
To convert 1.3 miles into inches we proceed as follows;
1 mile=63360 inches.
Therefore the number of inches in one mile will be as follows:
(1.3*63360)
=82,368 inches
Therefore, we conclude that our answer is 82,368 inches.
This is the concept of application of compound interest, to calculate the amount I will have after the 5th deposit we proceed as follows;
A=p(1+r/100)^n
where;
A=future amount
p=principle
r=rate
n=number of years
thus substituting the values in our formula we get:
A=3,100(1+8.5/100)^5
A=3,100(1+0.085)^5
A=3100(1.085)^5
A=4,666.34
The amount of money after 5 years will be $4,666.24
