Answer:
The width of the rectangle is 18 inches, and the length is 50 inches
Step-by-step explanation:
We can designate a variable, x, to represent the width of the rectangle. To represent the length and widths of the rectangle, we can say that the length is 3x-4 and the width is just x. We can then write an equation for the perimeter and solve:
2(3x-4) + 2x = 136
6x - 8 + 2x = 136
8x - 8 = 136
8x = 144
x = 18
To calculate the length
(3x - 4)
3(18) - 4 = 50 in
Answer: I would say 5 days.
Step-by-step explanation:
I added both days together and divided by 2 because there are two individuals working on 20 trees and divided equally it would be 10 and it would take 5 days because that’s half.
Answer:
x = 4
Step-by-step explanation:
(5x+131)° and (5x+19)° are supplementary. Therefore, (5x+19)° + (5x+131)° equals to 180°.
Knowing that, we can do the following:
- (5x+19) + (5x+131) = 180
- 5x + 19 + 5x + 131 = 180
- 10x + 140 = 180
- 10x = 40
- <em>x = 4</em>
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.
FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
The formula for volume is V=Bh where B is the area of the base.
plug in what they have given you:
600=B(15) you can divide both sides by 15
40=B We know that a cylinder's base is a circle so we can use the area f formula for a circle to solve for the radius.
40 = pi(r)^2 divide both sides by pi to get the r^2 alone
40/pi=r^2 square root both sides to get rid of the square
you should get
r=3.5 approximately
