First, put your polynomial in standard form(ax²+bx+c=0). Then plug the a,b and c for x=(-b+-√b²-4ac)÷2a. As a result, you can either get one, two or no real answers.
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
If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.
<h3>What is a rectangular prism?</h3>
A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.
Its width is 3 and 1/2 in and its height is 77 in.
Then the width of the prism will be

Then the length of the popcorn box in inches will be

More about the rectangular prism link is given below.
brainly.com/question/12649592
#SPJ1
Answer:300
Step-by-step explanation:
goes up by 75 every two
225+75=300