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Zepler [3.9K]
3 years ago
9

Solve x2 - 8x = 20 by completing the square {-22, 14} {-14, 22} {-10.2) -(2.10)

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0
-10,2 is your answer when you simplify it
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Greer company pays jamal perry a salary of $2,200 per week. how much fica tax must greer pay on jamal's behalf, including both t
ludmilkaskok [199]
The fica tax rate from employer will be 7.65 % of the salary.

= 7.65 % x $ 2,200 

= $ 168.3 

Multiply it by 52 if you want yearly number
4 0
3 years ago
Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius . One day the high tempe
bazaltina [42]

The high temperature is 35 degree celsius

<em><u>Solution:</u></em>

Given that, Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius

Let "f" be the temperature in degree Fahrenheit

Let "c" be the temperature in degree celsius

Therefore,

Temperature in degrees Fahrenheit = 32 + \frac{9}{5} times the temperature in degrees Celsius

f = 32 + \frac{9}{5} \times c

One day the high temperature in Edison. Nj was 95 degrees Fahrenheit

f = 95 ; c = ?

Substitute f = 95 in above equation

95 = 32 + \frac{9c}{5}\\\\95=\frac{32 \times 5 +9c}{5}\\\\95 \times 5 = 160+9c\\\\475 = 160 + 9c\\\\9c = 475 - 160\\\\9c = 315\\\\c = 35

Thus high temperature in degrees Celsius is 35 degree celsius

5 0
3 years ago
You know that 5^2=25. How can you use this fact to evaluate 5^4
PIT_PIT [208]

Answer:

5^4 = 625

Step-by-step explanation:

5^4 is just 25 times 25

7 0
3 years ago
Find the volume of the prism.
svlad2 [7]

Answer:

210

Step-by-step explanation:

V = B h

B = 8 1/3 * 4 1/5 = 35

V = 35*h

h= 6

35*6 = 210

6 0
2 years ago
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
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