Answer:
![x=\sqrt[4]{3}-1](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B4%5D%7B3%7D-1)
or 
Step-by-step explanation:
To write this equation you would need to use this equation for growth.
Final amount=initial amount (1+growth rate)^time
We have the final amount, 15,000, the initial amount, 5,000, and the time, 4 years. Now we have to plug in the values. We can write the growth rate as x.
Now start by dividing both sides by 5000.
Now you can find the fourth root of both sides to get rid of the exponent.
![\sqrt[4]{3} =1+x](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%7D%20%3D1%2Bx)
Finally, subtract 1 from both sides.
And, if allowed, you can use a calculator to find the value in decimal form which would be:
Answer:
The common ratio is 
Step-by-step explanation:
Geometric sequence:A geometric sequence is a sequence in which the ratio of any term to the preceding term of that term is always constant.
Common ratio: The ratio of any term to the preceding term of that term.
The 
term of a geometric sequence is represented by 
.
The 
term of the sequence = a.
The sum of first n term is
The common ratio = r.
Given geometric sequence,
, 
, 
,
........
The common ratio is
Answer:
so what you want to do is change that frac tion to a decimal which would be -.375 then compare that to .27, -3, and 4/6 or .6 repeating now which one is farther from 0? that would be .6 repeating so the answer is d 2/3 because it is equivilant to 4/6
Step-by-step explanation:
Answer:
The selling price is: 
Step-by-step explanation:
Step 1: Identify the profit made
A profit of 14% is made on the article.
This means that the article was sold at a price that had 14% of its original price added to it.
The 14% of the original price is:
So, a profit of $9520 was made
Step 2: Calculate the selling price
The selling price will be the sum of the original price and the profit.
The selling price is:
Answer:
Length: 16 feet
Width: 25 feet
Step-by-step explanation:
Alright so let's set up our system:
The area of a rectangular patio is 400 square feet.: L*W = 400
The length of the patio is 9 feet more than its width: L = W - 9
If you look here, all we need to do now is plug in L and solve.
(W - 9)W = 400
W^2-9W - 400 = 0
You can attempt to factor this in a number of ways. I recommend a factor tree, but however you do that is fine.
(W + 16)(W - 25) = 0
so we have two W values now, 25 and -16. Which one do we pick? We pick 25, because we cannot have a negative Width. That would literally break the universe.
So now we plug in 25 in our second equation to get L:
L = 25 - 9
L = 16
And now we have both our answers!
