Solve for x over the real numbers:
5 x^2 - 21 = 10 x
Subtract 10 x from both sides:
5 x^2 - 10 x - 21 = 0
Divide both sides by 5:
x^2 - 2 x - 21/5 = 0
Add 21/5 to both sides:
x^2 - 2 x = 21/5
Add 1 to both sides:
x^2 - 2 x + 1 = 26/5
Write the left hand side as a square:
(x - 1)^2 = 26/5
Take the square root of both sides:
x - 1 = sqrt(26/5) or x - 1 = -sqrt(26/5)
Add 1 to both sides:
x = 1 + sqrt(26/5) or x - 1 = -sqrt(26/5)
Add 1 to both sides:
Answer: x = 1 + sqrt(26/5) or x = 1 - sqrt(26/5)
Answer:
180 cm^3
Step-by-step explanation:
The ball is a sphere.
Volume of a sphere = 
where pi = 3.14 and r = 3.5 cm, (which is half the diameter)
Substituting them in, gives us the answer.
1. What is the unit rate for each size of peanut butter?Regular: $16 per ounceFamily size: $40 per ounce
2. Which size is the better buy?The family size is the better buy.
Given:
Net income = $19,090
Assets at the beginning of the year = $209,000.
Assets at the end of the year total = $264,000.
To find:
The return on assets.
Solution:
Formula used:

Using the above formula, we get




The percentage form of 0.0807 is 8.07%.
Therefore, the return on assets is 8.07%.
Answer:
$30,000
Step-by-step explanation:
The capital value is given by

where R(t) is annual rate
r - annual rate of interest
capital value 
= lim at b tend to infinity
=lim at b tend to infinity ![\left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b](https://tex.z-dn.net/?f=%20%5Cleft%20%5B%20%5Cfrac%7B1200%7D%7B-0.04%7D%20e%5E%7B-0.04%20t%7D%20%5Cright%20%5D_0%5Eb)
-30,000 { lim at b tend to inifinity![(e^{-0.04 b) = e^0]](https://tex.z-dn.net/?f=%20%28e%5E%7B-0.04%20b%29%20%3D%20e%5E0%5D)
As
