9514 1404 393
Answer:
4.8 years
Step-by-step explanation:
Solving the compound interest formula for the number of years gives ...
t = log(A/P)/(n·log(1 +r/n))
where principal P invested at rate r compounded n times per year produces value A after t years.
t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800
The loan was for 4.8 years.
In order to get the volume of a rectangular box, the formula would be V = LxWxH.
So given that Length L = 2w
H = 3-w
W = x
Let x be the width, so it will look like this.
V = (2x)(x-3)(x)
Multiply these and we will get 2x^3-6x^2.
Therefore, the answer would be option D. Hope this answer helps. Let me know if you need more help next time.
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle.
The answer is π25.
To solve the other questions on your assignment just think about how much the sector is of the full 360° of the circle, for example 180° is 1/2 of the circle or 270° is 3/4 of the circle, and multiply the fraction by the area of the circle.
Hope this helped, good luck! :)
