So first of all we should know that the <u>rectangular prism is a cuboid.</u>

<h3>Given :-</h3>
- heigth = 9 in.
- Length = 5 in.
- Width = 4 in.

<h3>To find:-</h3>

<h3>Solution:-</h3>
We know:-


So:-







Therefore option C is correct .

<h3>know more:-</h3>


Since the function is continuous between x = 0 and x = 44 then Rolle's theorem applies here.
Differentiating
y' = x * 2(x - 44) + (x - 44)^2
y' = 3x^2 - 176x + 1936 = 0 (at a turning point).
solving we get x = 44 , 14.67
y" = 6x - 176 which is negative for x = 14.67 so this gives a maximum value for f(x)
This maximum is at the point (14.67, 12,619.85)
There is a minimum at ( 44,0)
These are the required points
Answer:
54.72 months
Step-by-step explanation:
Given:
Future value = R35,000
Annuity = R500
Interest = 11.32% per year
Interest per month, r =
= 0.943% = 0.00943
Let 'n' be the total time in months taken
Now,
Future value of annuity is calculated using the formula as:
![\textup{Future value}=\textup{Annuity}\times[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctextup%7BFuture%20value%7D%3D%5Ctextup%7BAnnuity%7D%5Ctimes%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
on substituting the respective values, we get
![35000=500\times[\frac{(1+0.00943)^n-1}{0.00943}]](https://tex.z-dn.net/?f=35000%3D500%5Ctimes%5B%5Cfrac%7B%281%2B0.00943%29%5En-1%7D%7B0.00943%7D%5D)
or
![70=[\frac{(1.00943)^n-1}{0.00943}]](https://tex.z-dn.net/?f=70%3D%5B%5Cfrac%7B%281.00943%29%5En-1%7D%7B0.00943%7D%5D)
or
1.6601 = 1.00943ⁿ
taking log both sides, we get
log(1.6601) = n × log(1.00943)
or
0.22= n × 0.00402
or
n = 54.72 months
Answer: 6 is the awnser
Step-by-step explanation: