At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years

Answers

Answer 1

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

Answer 2

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

What is the formula to solve quadratic equation?

A quadratic equation, [tex]ax^{2} +bx+c=0[/tex] is solved by

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

Given function [tex]f(x)=x^4-10x^2+10000[/tex]

Function that has monthly salary $20,000 will be [tex]x^4-10x^2+10000=20000[/tex]

[tex]x^4-10x^2+10000-20000=0[/tex]

[tex]x^4-10x^2-10000=0[/tex]

Now using the formula [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{40100} }{2}[/tex]

[tex]x^2=\frac{10 \pm 200.2}{2}[/tex]

[tex]x^2=5 \pm 100.1[/tex]

[tex]x^2=105.1[/tex]

[tex]x=\sqrt{105.1}[/tex]

[tex]x=10.25[/tex]

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Related Questions

Please Help! 7+b=b+7

Answers

Answer:

Yes, 7+b=b+7

Step-by-step explanation:

It is correct because the both are the same equation; however, the numbers and variables are just switched around. Therefore, that doesn't change the value of the equation.

Hope this helps!

Answer:all real numbers are solutions

Step-by-step explanation:


Yes I am kinda dumb lol

Answers

Answer:

I think it is A

Step-by-step explanation:

just trying to help

Answer: The answer is A

Step-by-step explanation: The other answers show an impossible answer. The rays cannot be crossed from A to T or C to T since they are on the other side of the ray.

( I hope this helps and I hope you understand it doesn’t make you any less smart to have difficulty with answering a question)

(I'm not 100% confident in the answer though)

Which equation below would be perpendicular to the line x = 5 and goes through the point (2, 6)?

Answers

Answer:

this also I do not know plz tell answer is will also practice

Point G is the incenter of the triangle. Point G is the incenter of triangle E D F. Lines are drawn from each point of the triangle to point G. Lines are drawn from point G to the sides of the triangle. Angle D F G is 16 degrees. Angle G F E is (2 x) degrees. What is the value of x? 4 8 24 32

Answers

Answer:

8

Step-by-step explanation:

8

Answer:

B

Step-by-step explanation:

2x=16

16/2=8

Answer is 8

. Una distribución de probabilidades permite organizar todos los resultados posibles de

una variable aleatoria junto con sus correspondientes probabilidades de ocurrencia.

El valor esperado E(x) de una variable aleatoria discreta se calcula multiplicando

cada valor que esta puede asumir por su probabilidad de ocurrencia y luego

sumando los productos.

La siguiente tabla muestra la distribución de probabilidades correspondiente al

tiempo (en minutos) que demora una computadora en recuperarse luego de una

falla. ¿Cuál es el tiempo más probable de espera para volver a utilizar la

computadora?

Tiempo (x) 2.0 3.0 4.0 5.0

Probabilidad P(x) 0.10 0.30 0.10 0.50​

Answers

Answer:

i don't understand Spanish ._.

Step-by-step explanation:

man I wish I understand you ._.

1936
1937
1944
1945
1946
19
23
30
33
?

Answers

Answer:

44?

Step-by-step explanation:

-4x+1=2x-17 What is the solution for x ?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 4x + 1 = 2x - 17}[/tex]

Move 2x to left hand side and change it's sign

Similarly, move 1 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 6x = - 17 - 1}}[/tex]

The negative integers are always added but posses the negative ( - ) sign

[tex] \dashrightarrow{ \sf{ - 6x = - 18}}[/tex]

Divide both sides by -6

[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 18}{ - 6}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 3}}[/tex]

Hope I helped!

Best regards! :D

What is the supplement of a 110 degree angle

Answers

Answer: 70 degrees

Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.

which set of angles shares rayAF as a common side?

Answers

BAF and FAD I took the test !

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

4x=2(x+6)  

4x=2x+6

2x=6

x=3

(52) + (3+4i) is
O 3 +9i
O 12
O 3ti
O 92 + 3

Answers

Answer:

O 3 +9i

Step-by-step explanation:

Maria wants to purchase a shirt for $30. She also wants to purchase a purse for $60. She has to pay 7.5% sales tax on her purchase. What will be the total amount Maria pays including tax. ​
A. $96.75​

B. $6.75​

C. $83.25​

D. $90.00​

Answers

A)96.75

Multiply 90 x 7.5% to get 6.75

Add to get answer

Brainliest?

What is the solution set for 5(1−p)>−3p−5?

Answers

3p-1=5(p-1)-2(7-2p)

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

Reorder the terms:

-1 + 3p = -5 + -14 + 5p + 4p

Combine like terms: -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p

Combine like terms: 5p + 4p = 9p

-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations

Answers

Answer:

Fred has saved $115 while Wilma had saved $230

Step-by-step explanation:

Let the amount saved by Fred be F while the amount saved by Wilma be W

Together, they have saved $345

Mathematically;

F + W = 345 •••••••(i)

We are also told that Wilma has have twice as much money as Fred;

Hence; W = 2F ••••••••(ii)

To get the amount of money they both have, we need to solve the equations simultaneously

Substitute ii into i

F + 2F = 345

3F = 345

F = 345/3

F = 115

But W = 2F

W = 2 * 115

W = 230

i feel so stupid right now it makes me mad
how do you describe a correlation

Answers

Answer:

Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.

Step-by-step explanation:

Write the fraction 12/28 in the simplest form

Answers

Answer: 3/7

Step-by-step explanation:

Answer:

12/28 is 3 /7 is your answer

What is the range of the function f(x) = 4x + 3 when the domain is {−3 , 2 , 4}

Answers

Hey there! I'm happy to help!

The range of a function is all of the outputs. Let's plug in our inputs and find these outputs.

4(-3)+3

-12+3

-9

4(2)+3

8+3

11

4(4)+3

12+3

15

We order these from least to greatest, giving us a range of {-9,11,15}.

Have a wonderful day! :D

The graph of the function B is shown below. Find B(2).





1
-1
2

Answers

Answer: 2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

Don't forget to thank and vote

Solve for x. Make sure to show all your work.

Answers

Answer:

x=18

Step-by-step explanation:

(6x+3)+(3x+15)=180

(6x+3x)+(3+15)=180

9x+18=180

    -18  -18

9x=162

162/9

x=18

These two angles should sum to 180 since they form a line. So 6x+3+3x+15=180. 9x=162. x=18.

which phrase should be inserted on the line to correctly compare the two factions 4/5 + 16/20 a is greater than B cannot be compared C is less than and D is equal to ​

Answers

First, let's reduce our fractions to their simplest forms.

4/5 is already in its simplest form

16/20 = 4/5.

Now that both of por fractions are in their simplest forms, let's compare them.

4/5 is equal to 4/5

D is the correct answer.

Answer: C. is less than

Step-by-step explanation: the person above me is wrong

5) Answer the following questions :
The total number of boys and girls in a school is 320. the
number of boys in this school is 180 find :
a) The ratio between the number of boys and that of girls.
b) The ratio between the number of boys & the total number of
pupils.
c)The ratio between the number of girls & the total number of
pupils.

Answers

Answer:

a)9:7 b) 9:16 c) 7:16

Step-by-step explanation:

the no of girls (320-180)=140

a) ratio of no of boys and girls=180/140=9/7=9:7

b)ratio of boys and total pupil=180/320=9/16=9:16

c) ratio of the girls and pupils=140/320=7/16=7:16

Answer:

a) 9:7 (9 being the boys,7 being the girls)

b)9:16 (9 being boys, 16 being the total pupils)

c)7:16 (7 being girls, 16 being the total pupils)

Step-by-step explanation:

a) No. of girls= 320-180

=140

Boys: Girls

180 : 140 [ ÷ 20]

9 : 7

b) Boys: Pupils

180 : 320 [ ÷ 20]

9 : 16

c). Girls: Pupils

140 : 320 [ ÷ 20]

7 : 16

Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.

Answers

Answer:

The car

Step-by-step explanation:

Train:

1mi = 1.6 km

95km = 95/1.6 = 59.375 km

95km/h = 59.375mi//h

Car

     65mi/h

Comparative:

65 > 59.375

then:

the car is more faster

Answer:

The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65

Step-by-step explanation:

If the salesperson made $2,500,000 in total sales, is their yearly salary $205,000? Yes or No.

Answers

Considering that sales rep receive on average between 20 to their 30% of their sales as profit, therefore the sales person would make between 2,500,000 x .20 = 100,000, and 2,500,000 x .30 = 750,000

Can someone help me with this please

Answers

Answer:  4

===========================================

Explanation:

For now, ignore the variables. Let's just focus on the coefficients 12 and 16.

The GCF of 12 and 16 is 4 because this is the largest factor they have in common.

12 = 4*3

16 = 4*4

You could create a factor tree to get the prime factorization of each number

12 = 2*2*3

16 = 2*2*2*2

Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.

--------

Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.

--------

Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.

can someone pls help! is this correct?

Answers

Answer:

It's wrong

Step-by-step explanation:

Answer:yes it is correct

Step-by-step explanation:

Find point A ( x, y ) if point B is ( 6 , 10 ) and the midpoint between A and B is ( -4,5)

Answers

Answer:

(14,0)

Step-by-step explanation:

slope 10/5 or 2

Maria babysat for 6 hours on Tuesday, 3 hours on Thursday, and 4 hours on Saturday.
If Maria is paid $6.00 per hour, how much money did she make on these three days?

Answers

Answer:

First, convert 150% to the equivalent decimal 1.50 by dropping the percent sign and moving the decimal two places to the left. Then, multiply 9 by 1.50 to get 13.50. Maria now makes $13.50 per hour.

Step-by-step explanation:

I took the test and this is the sample answer

The required earnings for Maria for the three days is $78.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Maria babysat for 6 hours on Tuesday, 3 hours on Thursday, and 4 hours on Saturday, and paid $6.00 per hour.

Total earining = 6 × 6 + 3×6 + 4× 6
Total earning = 36 + 18 + 24
Total earning = $78

Thus, the required earnings of Maria for the three days is $78.

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what is 1 1/3 divided by 3/5

Answers

about 2.2222

rounded answer: 2.23

Answer:

6.11

Step-by-step explanation:

First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5

Which of the following is equivalent to 3⁴? 1. 12 2. 81 3. 7 4. 64

Answers

the correct answer is 81

Answer:

81

Step-by-step explanation:

if 28 men can complete a work in 16 days wiil 8 men take to complete that work is it a.14 b.48 c.56 d.128

Answers

Answer:

56

Step-by-step explanation:

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