A worker has job offers from two companies. The information below summarizes the job offer from each company.

Company A:

Starting salary of $31,000
Raise of $3000 each year

Company B:

Starting salary of $38,000
Raise of $2000 each year


Part 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:

irrational number

Step-by-step explanation:

An irrational number cannot be written as a ratio of two integers

By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.

The geometric representation of this question is based on the Pythagorean theorem:

l² = x² + y²     (1)

Where:

The rate of change of the length of the string is obtained by differential calculus:

[tex]2 \cdot l \cdot \dot l = 2\cdot x \cdot \dot x[/tex]

[tex]\dot l = \frac{x\cdot \dot x}{l}[/tex]

[tex]\dot l = \frac{x\cdot \dot x}{\sqrt{x^{2}+y^{2}}}[/tex]    (2)

If we know that x = 150 ft, y = 90 ft and [tex]\dot x = 30\,\frac{ft}{s}[/tex], then the rate of change of the length of the string is:

[tex]\dot l = \frac{(150\,ft) \cdot \left(30 \,\frac{ft}{s} \right)}{\sqrt{(150\,ft)^{2}+(90\,ft)^{2}}}[/tex]

[tex]\dot l \approx 25.725\,\frac{ft}{s}[/tex]

By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.

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Answer:

f(0) = 1

f(x) = f(x-1) - 3

Step-by-step explanation:

probably use the style of your teacher

The equation of the cell phone plan is y = 70 + 4x and the number of gigabyte is 1.10

The given parameters are:

Flat = $70 per month

Rate = $4 per gigabyte

Let the number of gigabyte be x, and the total cost be y.

So, we have:

y = Flat + Rate * x

So, we have:

y = 70 + 4x

When the bill is $74.40, we have:

74.40 = 70 + 4x

Subtract 70 from both sides

4x = 4.40

Divide both sides by 4

x = 1.10

Hence, the equation is y = 70 + 4x and the number of gigabyte is 1.10

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Angle 1=87°

Angle 2=88°

angle 1+2= 177

Step-by-step explanation:

I believe thsi should be right,

So angle 1 and 87° are the same because of some rule, then the angle above 2 would be 92 because of the same rule and its a straight line so 180-92=88 making angle 2, 88. When you add those it would be 177. Try that

the correct answer is b. 8

Answer:24-3 = 21 divided by .75 = 28 so the answer is 28 miles

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Answer:

The correct answer is 11 sections.

Step-by-step explanation:

Hope This Helps!

Answer:

4(3 −1)−5=75

Step-by-step explanation:

Answer: 23, 5, 3

Step-by-step explanation:

Problem a)

5 + 2 x 3^2

5 + 2 x 9

5 + 18

23

Problem b)

7 + 8 / 5 - 2

15 / 3

5

Problem c)

18- 3 x 2/ 5 - 1^2

18 - 6/ 5 - 1

12/4

3

Answer:

I don't think you should doubt the ability to do well you should have confidence in your self .

Answer with Step-by-step explanation:

10% of 840 can be found by multiplying 840 by 0.10 (or dividing 840 by 10)

10% of 840 = 84

To make a profit of 84 he needs to sell at 840 + 84 = 924 rs

5% of 840 can be found by multiplying 840 by 0.05 (or dividing 840 by 20)

5% of 840 = 42

To make a loss of 42 he needs to sell at 840 - 42 = 798 rs

Answer:

x = 0

Step-by-step explanation:

Lets make an equation.

x + 1 + (-1) = 0

=> x + 0 = 0

=> x = 0

Kind request:

Please give me brainliest :)

Answer:

The slope-intercept form is y=x-5

The graph is in the picture below

Step-by-step explanation:

To find the slope-intercept you need to move y all by itself:

y=mx+b

subtract 3x on both sides:

-3y=-3x+15

Divide by -3 on both sides:

y=x-5

Hope this helps!

(Why I took two pictures is because to show you that the line is the same even with it being slop-intercept form)

Answer:

Okay the answer is £1.56

Step-by-step explanation:

 £15.00

-£13.42

 £01.58

Brainliest if you liked the answer.

Answer:9.25

Step-by-step explanation:

Answer: here, mark me as brainliest if you want please

Answer:

[tex](g/f)(x) = \frac{g(x)}{f(x)} = \frac{ {x}^{2} - 5 }{4x + 1} [/tex]

I hope I helped you^_^

Answer:

250.5 - 35 m = 300 - 35.25 m

Step-by-step explanation:

n ⇒ number of months it will take for both accounts to have the same amount of money

∴ the equation should be: 250.5 - 35 m = 300 - 45.25 m

⇒ 250.5 - 300 = -45.25m + 35m

⇒ -49.5 = -10 · 25m

m = 4950/1025

Answer:

b

Step-by-step explanation:

the correct equation is b

Answer:

My answer is 13 units

Step-by-step explanation:

Hope it helps

Answer:

Jason multiplied 1.5 by the whole number 10.

Step-by-step explanation:

As opposed to multiplying 1.5 by the tenth power, in which Jason would've received 57.66503..., he multiplied 1.5 by 10 units, resulting in a product of 150.

Hope this helps!

The power of ten did he multiply by 2.

Given that;

Jason multiplied 1.5 by a power of ten and got 150.

Let us assume that;

The value of power = x

Hence it can be written as,

1.5 × 10ˣ = 150

Divide both sides by 1.5;

10ˣ = 150/1.5

10ˣ = 100

It can be written as,

10ˣ = 10²

This gives,

x = 2

Therefore, the value of power is 2.

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Answer:

3rd option

Step-by-step explanation:

Substitute x = 0 into f(x) and check if the result is - 6

f(0) = (0 + 1)(0 + 2)(0 + 3) = 1 × 2 × 3 = 6 ≠ - 6

f(0) = (0 + 1)(0 - 2)(0 - 3) = 1 × - 2 × - 3 = 1 × 6 = 6 ≠ - 6

f(0) = (0 - 1)(0 + 2)(0 + 3) = - 1 × 2 × 3 = - 1 × 6 = - 6 ✔

Thus the 3rd option crosses the y- axis at (0, - 6 )