A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting salary of $31,000Raise of $3000 each yearCompany B:Starting salary of $38,000Raise of $2000 each yearPart A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.

Answer:

171

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Answer:

(4,0)

Step-by-step explanation:

4(-x + 5y) = 4(-)

4x + 3y = 16

-4x + 20y = -16

4x + 3y = 16

23y = 0

23y/23 = 0/23

= 0

y = 0

then for x

we substitute the value gotten from y into the equation.

Answer:

Acute

Step-by-step explanation:

and angle lower than 90 is acute exactly 90 is an right angle from 90 to 180 obtuse 180 to 360 reflex angle and equalateral is 60 degrees on each angle

Answer:

For question 4 you would have 1560000. For question 5 you would have 660000

Step-by-step explanation:

Answer:

[tex]5\frac{3}{4}[/tex]

Step-by-step explanation:

You need to set bot denominators equal so multiply the second fraction by two for both the top and bottom.

[tex]2\frac{1}{4} +3\frac{1}{2} \\ =2\frac{1}{4} +3\frac{2}{4}\\\\ =5\frac{3}{4}[/tex]

Answer:

-12

Step-by-step explanation:

Answer:

43.75 or simplified as 43 3/4 which is a mixed number

Step-by-step explanation:

How I did it is divide 5 and 8 and got 0.625 and I divided 70 by 0.625 and got 43.75 and I simplified it as a maxed number and got 43 3/4

Answer:

1). Option (d)

2). Options (a), (b) and (d)

Step-by-step explanation:

Question 1

a). [tex]3x^5-6x^3+9x-12x^{-1}[/tex]

   Any expression with negative exponent is not a polynomial.

b). [tex]4\sqrt{x}+5[/tex]

   Any expression having variable with square root is not a polynomial.

c). [tex]\frac{4x+5}{3x-1}[/tex]

   Any expression having variables in the form of a fraction is not a polynomial.

d). [tex]-\frac{3}{2}x^{12}-7x^5+\frac{2}{3}x-10[/tex]

   It's a polynomial.

e). [tex]-5x^{\frac{3}{2}}-7x^2+6[/tex]

   Expressions having variables with square root are not the polynomial.

Therefore, Option (d) is a polynomial.

Question 2.

P(x) = (2x + 1)(5x³ - 8x + 4)

      = 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)

      = 10x⁴ - 16x² + 8x + 5x³ - 8x + 4

      = 10x⁴ - 5x³ - 16x²+ 4

a). Degree of polynomial = 4

   True

b). P(0) = 10(0) - 5(0) - 16(0) + 4

           = 4

    True

c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4

           = 10 + 5 - 16 + 4

           = 3

    False

d). Coefficient of x₂ is -16.      

    True

e). Coefficient of x is -16

    False

Therefore, Options (a), (b) and (d) are correct.

Answer:

i this like true or false,if so its true

:)

Step-by-step explanation:

Answer:

28.26

Step-by-step explanation:

A = area of a sector

π = 3.14

r = 9

θ = 40

A=πr²*θ/360=3.14*81*40/360=28.26

Answer:

Step-by-step explanation:

Answer:

0.5625

Step-by-step explanation:

3/4 as a decimal is 0.75

0.75×0.75=0.5625

Answer:

0.75 x 0.75 = 0.5625

Step-by-step explanation:

3/4=.75

Answer:

$1,649.80

Step-by-step explanation:

Sydney will have earned $1293.35 in interest by her 60th birthday.

To solve this problem, we need to use the formula for continuously compounded interest:

A = P [tex]e^{rt}[/tex]

Where:

A is the final amount of money in the account (including principal and interest)

P is the initial principal (in this case, $400)

r is the interest rate (in this case, 3.7% per year)

t is the number of years the money is invested (in this case, 39 years)

e is the mathematical constant approximately equal to 2.718

Plugging in the values from the problem, we get:

A = $400[tex]e^{0.037 \times 39}[/tex]

Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35

Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ2

Answer:

4

Step-by-step explanation:

it's four imma just goo

Answer: [tex]91.7\ mm[/tex]

Step-by-step explanation:

Given

The size of the ant is enlarged by [tex]655\%[/tex]

The actual size of the ant is [tex]14\ mm[/tex]

Enlarged size is

[tex]\Rightarrow 14\times \dfrac{655}{100}\\\\\Rightarrow 91.7\ mm[/tex]

Answer:

C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

42 + 67+ 71 = 180. We also know 67 + 42 = 109.

Lets look at our answers;

A. 109 = 180 + x  When solved it gave me; x = -71. We got a positive 71 so this is incorrect.

B. x + 42 = 67   When solved it gave me;  x = 25, which is incorrect.

C. x = 180 - 109 When solved it gave me; x = 71

D. 42 + 67 - x = 180 When solved it gave me; x =  - 71

Therefore the answer is C.

Answer:

they should buy three more for the 5th grade to match the 4th grade

Answer:

2xyz - 3x[tex]y^{2}[/tex]z-5[tex]x^{3}[/tex]z

Step-by-step explanation:

27 + x = 46

x = 46 - 27

x = 19 Ans .

Answer:

19

Step-by-step explanation:

Subtract- 46-26=19

Therefore, 27+19=46

Answer:

Hello! The answer is in this link.

Step-by-step explanation:

8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!

Answer:

[tex]Rate = 6[/tex]

[tex]Rate = 10[/tex]

[tex]Rate = 18[/tex]

[tex]Rate = 162[/tex]

Step-by-step explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In table A, the 2nd and 3rd point is:

[tex](x_1,y_1) =(1,7)[/tex]

[tex](x_2,y_2) =(2,13)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{13 - 7}{2 - 1}[/tex]

[tex]Rate = \frac{6}{1}[/tex]

[tex]Rate = 6[/tex]

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

[tex](x_1,y_1) =(2,13)[/tex]

[tex](x_2,y_2) =(3,23)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{23 - 13}{3 - 2}[/tex]

[tex]Rate = \frac{10}{1}[/tex]

[tex]Rate = 10[/tex]

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

[tex](x_1,y_1) =(2,11)[/tex]

[tex](x_2,y_2) =(3,29)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{29 - 11}{3 - 2}[/tex]

[tex]Rate = \frac{18}{1}[/tex]

[tex]Rate = 18[/tex]

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

[tex](x_1,y_1) =(4,83)[/tex]

[tex](x_2,y_2) =(5,245)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{245 - 83}{5 - 4}[/tex]

[tex]Rate = \frac{162}{1}[/tex]

[tex]Rate = 162[/tex]

Answer:

25

Step-by-step explanation:

the number of plants can be determined by adding the frequencies together

2 + 5 + 6 + 8 + 3 + 1 = 25 plants

Answer:i have no idea

Step-by-step explanation:

Does n e one get t?

idea 34 I did 56-22 0.0

Answer:

I think it is -60.71428571 percent.