There is a 96% customer retention rate for the third quarter.
Given
Jenny owns a salon.
She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.
<h3>Customer retention rate</h3>
It determines the percentage of customers that the company has retained over a given period.
The customer retention rate is determined by;
![\rm Customer\ retention\ rate=\dfrac{Given \ period - New \ customers}{Initial \ number}\times 100](https://tex.z-dn.net/?f=%5Crm%20Customer%5C%20%20retention%5C%20%20rate%3D%5Cdfrac%7BGiven%20%5C%20period%20-%20New%20%5C%20customers%7D%7BInitial%20%5C%20number%7D%5Ctimes%20100)
Substitute all the values in the formula;
![\rm Customer\ retention\ rate=\dfrac{Given \ period - New \ customers}{Initial \ number}\times 100\\\\\rm Customer\ retention\ rate=\dfrac{150-5}{151}\times 100\\\\\rm Customer\ retention\ rate=\dfrac{145}{151}\times 100\\\\\rm Customer\ retention\ rate=0.96 times 100\\\\\rm Customer\ retention\ rate=96 \ percent](https://tex.z-dn.net/?f=%5Crm%20Customer%5C%20%20retention%5C%20%20rate%3D%5Cdfrac%7BGiven%20%5C%20period%20-%20New%20%5C%20customers%7D%7BInitial%20%5C%20number%7D%5Ctimes%20100%5C%5C%5C%5C%5Crm%20Customer%5C%20%20retention%5C%20%20rate%3D%5Cdfrac%7B150-5%7D%7B151%7D%5Ctimes%20100%5C%5C%5C%5C%5Crm%20Customer%5C%20%20retention%5C%20%20rate%3D%5Cdfrac%7B145%7D%7B151%7D%5Ctimes%20100%5C%5C%5C%5C%5Crm%20Customer%5C%20%20retention%5C%20%20rate%3D0.96%20times%20100%5C%5C%5C%5C%5Crm%20Customer%5C%20%20retention%5C%20%20rate%3D96%20%5C%20percent)
Hence, there is a 96% customer retention rate for the third quarter.
To know more about customer retention rate click the link given below.
brainly.com/question/25668470
Answer by Distributing Like Terms: ![-4x^4+5x^3-x^2+1+2x^4-7x^3+6x^2+2x](https://tex.z-dn.net/?f=-4x%5E4%2B5x%5E3-x%5E2%2B1%2B2x%5E4-7x%5E3%2B6x%5E2%2B2x)
![=-4x^4+5x^3+-x^2+1+2x^4+-7x^3+6x^2+2x](https://tex.z-dn.net/?f=%3D-4x%5E4%2B5x%5E3%2B-x%5E2%2B1%2B2x%5E4%2B-7x%5E3%2B6x%5E2%2B2x)
Combine Like Terms:
![=-4x^4+5x^3+-x^2+1+2x^4+-7x^3+6x^2+2x\\=(-4x^4+2x^4)+(5x^3+-7x^3)+(-x^2+6x^2)+(2x)+(1)\\\=-2x^4+-2x^3+5x^2+2x+1](https://tex.z-dn.net/?f=%3D-4x%5E4%2B5x%5E3%2B-x%5E2%2B1%2B2x%5E4%2B-7x%5E3%2B6x%5E2%2B2x%5C%5C%3D%28-4x%5E4%2B2x%5E4%29%2B%285x%5E3%2B-7x%5E3%29%2B%28-x%5E2%2B6x%5E2%29%2B%282x%29%2B%281%29%5C%5C%5C%3D-2x%5E4%2B-2x%5E3%2B5x%5E2%2B2x%2B1)
Answer: =−2x^4−2x^3+5x^2+2x+1
Formula rewritten in standard form: ![-2x^{2} -2x^{3}+5x^{2} +2x+1](https://tex.z-dn.net/?f=-2x%5E%7B2%7D%20-2x%5E%7B3%7D%2B5x%5E%7B2%7D%20%2B2x%2B1)
Answer:
$12,000,000
Step-by-step explanation:
The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.
Answer:
(2,2)
Step-by-step explanation:
Given equations are
x+3y=8 eq(1)
2x-y=2 eq(2)
we'll solve the system of equation by substitution.
Adding -3y to both sides of eq(1),we get
x+3y-3y=8-3y
x+0=8-3y
x=8-3y eq(3)
Put above value of x in eq(2),we get
2(8-3y)-y=2
16-6y-y=2
16-7y=2
Adding -16 to both sides of above equation,we get
-16+16-7y=-16+2
0-7y=-14
-7y=-14
Dividing by -7 to both sides of above equation,we get
-7y/-7=-14/-7
y=2
Putting y=2 in eq(3),we get
x=8-3(2)
x=8-6
x=2
hence, the solution for this system of equations is (2,2).
Answer:ok
Step-by-step explanation:
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