WILL GIVE BRAINLIEST!!!

____________________

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.

Suppose Mr. Nicholson plans on working for his new employer for at least 9 years. Use each of the recursive models to determine Mr. Nicholson’s potential annual salary as a nine-year veteran with the company. In your final answer, include all of the necessary calculations.

Answers

Answer 1

Answer:

Step-by-step explanation:1. Arithmetic: Add 3,500

The annual raise of 3,500 means add 3,500 to the previous year's salary

60,000 + 3,500 = 63,500

63,500 + 3,500 =  67,000

67,000 + 3,500 = 70,500

70,500 + 3,500 = 74,000

74,000 + 3,500 = 77,500

Geometric: Multiply by 1.05

The annual raise by 5% of his current salary means multiply by 1.05.

60,000 x 1.05 = 63,000

63,000 x 1.05 = 66,150

66,150 x 1.05 = 69,457.50

69,457.50 x 1.05 = 72,930.38 rounded

72,930.375 x 1.05 = 76,576.89

The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)

2a. Arithmetic - New salary is $3,500 greater each year than last year's salary

S = 60,000 + 3500(n-1)

Geometric - New salary is 5% more each year than last year's salary

60,000 + (1.05)^(n-1)

2b. Arithmetic Earnings over 3 years

60,000 + 63,500 + 67,000 = 190,500

Geometric Earnings over 3 years

60,000 + 63,000 + 66,150 = 189,150

There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two

3.Arithmetic

a(9) = 3,500 + a(9-1)

a(9) = 3,500 + 89,000

a(9) = 92,500

Geometric

a(9) = 1.05 x a(9-1)

a(9) = 1.05 x 84,425.90

a(9) = 88,647.20

4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.

I'm always happy to help :)

Answer 2

Answer:

he is not a wealthy man

Step-by-step explanation:

because he got money


Related Questions

9 times a number is the sum of the number and 56.
Translate the statement to equations

Answers

Answer:

9x = x + 56

Step-by-step explanation:

The three squares below join together to form a right triangle. The area and the perimeter for two of the squares is shown. Find the side length of the largest square.

Answers

Answer:

YES

Step-by-step explanation:

by dividing perimeter by 4, we

get the side lengths of 12, 35 and 37.

122 + 352 = 372.

The side length of the largest square is 15 inches.

From the given figure, area of one of the square is 81 square inches and the perimeter of another square is 48 inches.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

We know that, the area of a square = a²

Here, a²=81 square inches

⇒ a=9 inches

The perimeter of square = 4s

⇒ 4s=48

⇒ s = 12 inches

In the given figure, let the hypotenuse of triangle be x

Using Pythagoras theorem, we get

Now, x²=a²+s²

⇒ x²=9²+12²

= 81+144

= 225

So, x=15 inches

Therefore, the side length of the largest square is 15 inches.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ5

please help me!!!!! asap

Answers

A is correct.

5^2=25

2^3=8

3^2=9

25+8x9

A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of ​$20. Option B is a commission rate of ​10% on weekly sales. How much does need to sell this week to earn the same amount with the two​ options?

Please help..

Answers

Answer:

$8,000

Step-by-step explanation:

40x20= .1s

8000=s

First option, the salesperson will earn 40*20=800 dollars.

For second option, the person will earn the amount he sells/10.

For them to be equal the second salesperson have to sell 800*10=8000 dollars of items to earn that as much money as the first salesperson.

1. Casey is filling a box with unit cubes. She can place 3 along the width, and 4 along the length. She can also stack 6 on top of each other inside the box. How many unit cubes can fit inside the box?

Answers

Answer:

72 units^3

Step-by-step explanation:

Finding the volume of a cube is as simple as length × width × height

3 × 4 × 6

72 units^3

Find the missing angle measures?

Answers

Answer:

x)45

y)45

z)135

Step-by-step explanation:

5.Regarding the equations below. What is the value of x?

5x + 2y = 4
x – 3y = –23

Answers

Answer:

x=−2

y=7

Step-by-step explanation:

5x+2y=4

x−3y=−23

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x+2y=4,x−3y=−23

To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.

5x+2y=4,5x+5(−3)y=5(−23)

Simplify.

5x+2y=4,5x−15y=−115

Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.

5x−5x+2y+15y=4+115

Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.

2y+15y=4+115

Add 2y to 15y.

17y=4+115

Add 4 to 115.

17y=119

Divide both sides by 17.

y=7

Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.

x−3×7=−23

Multiply −3 times 7.

x−21=−23

Add 21 to both sides of the equation.

x=−2

The system is now solved.

x=−2,y=7

Graph if needed:

WILL GIVE BRAINLIEST FASTTTTT
Factor x^2−4x+4



(x−4)^2

(x+2)^2

(x+4)^2

(x−2)^2

Answers

Answer: (x−2)(x−2)

The middle number is -4 and the last number is 4.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -4

Multiply together to get 4

Can you think of the two numbers?

Try -2 and -2:

-2+-2 = -4

-2*-2 = 4

Fill in the blanks in

(x+_)(x+_)

with -2 and -2 to get...

(x-2)(x-2)

Answer:

(x−2)(x−2)

so the answer is D.

Find the value of x so that the function has the given value.
9(x) = x-9; g(x) = 3

Answers

Answer:

-15

Step-by-step explanation:

(1,-2)(5,4) find the mid point​

Answers

Answer:

Step-by-step explanation:

Given points A ( 1 , - 2) and B ( 5 , 4)

Mid point of AB is

= (  ( x1 +x2)/ 2     ,    ( y1+ y2)/ 2  )

= (  ( 1 + 5)/2        , ( - 2 + 4)/2  )

= ( 3 , 1 )

hope it helps :)

6+1/5x=11.. Solve for x... Help?

Answers

Answer:

x = 25

Step-by-step explanation:

1/5x = 11 - 6

1/5x = 5

x = 5 / (1/5)

x = 5 x 5

x = 25

Hope that helps!

Answer: x=25

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. y - 3x = -1​

Answers

Answer:

y=3x-1

Step-by-step explanation:

y-3x=-1

y-3x+3x=-1+3x

y=3x-1

Answer:

y=3x-1

Step-by-step explanation:

y-3x=-1

y=3x+(-1)

y=3x-1

if xsqured +y squred =16, xy=10 find the value of x+y using bionomial expansion

Answers

Answer:

x+y=6

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDAStips and formulas:x²+y²=(x+y)²-2xylet's solve:

according to the question:

(x+y)²-2xy=16substitute the value of xy:(x+y)²-2.10=16simplify multiplication:(x+y)²-20=16add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36[tex] \sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^{2}} = \sqrt{36} \\ \therefore x + y = 6[/tex]

Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days.

Answers

Answer:

10.50

Step-by-step explanation:

What is the product of the complex numbers below?
(2 - 3i)(1 + 7i)

A)-19+11i
B) 23-17i
C) -19-17i
D) 23+11i

Answers

Answer:

23+11i

Step-by-step explanation:

took the test :)

What is the greatest factor of 48x²and 32x³​

Answers

Answer:

Step-by-step explanation:

Write the prime factors making up the two expressions

48x^2: 2 * 2  * 2 * 2 * 3 * x * x

32x^3:  2 * 2 * 2 * 2 * 2 * x * x * x

Underline what is common to both

The highest common factor is 2 * 2 * 2 * 2 * x  * x

The highest common factor is 16x^2

This may look very simplistic, but try a question like this

5397691 and 3271021

The method I've shown you is likely the only way you could factor these two monsters and they are relatively small numbers.

For brainiest:):):):):):)):)

Answers

Answer:

Step-by-step explanation:

1st one is 28.27 cm and 2nd one is 22 in.

Hope i helped.

answerr to 4p+7p+3+7p+3

Answers

Answer:

18p+6

Step-by-step explanation:

If the perimeter of square X is triple that of square Y, then the are of X is how many times the area of Y?

Answers

Answer:3 more than y i think srry if im wrong

Step-by-step explanation:

There are about 16 kilometres in 10 miles About how many kilometres are in 5 miles?

A: 3 kilometres

B: 8 kilometres

C: 32 kilometres

D: 80 kilometres?

Answers

Answer:

167

Step-by-step explanation:

89-g8+16

Determine the coordinates of the y-intercept of 3x − 4y = 24.

Answers

Answer:

(0, -6)

Step-by-step explanation:

At the y-intercept, the x-coordinate equals zero.

3x - 4y = 24

3(0) - 4y = 24

-4y = 24

y = -6

Answer: (0, -6)

Calculate the rise and run between any two coordinates to find the slope of each line ...

Answers

For the first one its a slope of -2/3

The second one is 4/5

and the third one is -1/7

11/6=n+7/9 what does n equal

Answers

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

-n + 11/6 = 7/9

-n = 7/9 - 11/6

-n = -19/18

n = 19/18

Answer:

n = 19/18

Step-by-step explanation:

The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9).  The LCD is 18, which is the smallest number evenly divisible by 6 and 9.  Thus, we can rewrite 11/6=n+7/9 as:

33/18 = (18/18)n + 14/18 (Now all three denominators are the same:  18)

Then 33 = 18n + 14, or

         19 = 18n

Dividing both sides by 18, we get n = 19/18

Check:  Is 11/6 = 19/18 + 7/9 true?  YES

A square has a side length of 6 centimeters. What is the perimeter of the square?

Answers

Answer:

Perimeter of square = 4 x side length

4 x 6 = 24cm^2

Answer:

It’s 24

Step-by-step explanation:

6*4=24

It’s that simple

Make me brainliest pls

Re-write the expression in the rational exponent form

Answers

Answer:

[tex]11^{\frac{1}{2} }[/tex]

Step-by-step explanation:

The rational exponent form is as the pictures show. (The first one just shows random examples).

Hope it helps!

Please help I'm in hurry

Answers

Answer:

its twenty five    

Step-by-step explanation:

25

The answer to the problem is 25

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 10
pizzas in all, 4 of which were mushroom pizzas. What percentage of the pizzas were
mushroom pizzas?

Answers

Answer: 40%

see 10 as 100% so the 4 would be 40%:) have a great day

Answer:

40%

Step-by-step explanation:

4/10=.40

.40=40% as a percentage

You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?

Answers

Answer:

One pound of apple = $1

One pound of Orange = $2

Step-by-step explanation:

Plz mark brainliest thanks

Answer:

Apples $1

oranges $2

Step-by-step explanation:

Find angles A, B, C, D, & E.

Answers

Answer:

Step-by-step explanation:

B = 35      {Alternate interior angles}

C = 75      {Corresponding angles}

D + 75 =  180 {Linear pair}

     D = 180 - 75

     D = 105

A = C   {Corresponding angles}

A = 75

E = A   {Alternate interior angles}

E = 75

plz help i will give brainliest

Answers

Answer:

1. [tex]y=\frac{2}{3}x-2[/tex]

2. [tex]y=\frac{-5}{4}x+5[/tex]

Step-by-step explanation:

all you are doing is solving for "y"

Answer:

ans 1. -2x = -6-3y

-2x = 9y

xy = -2/9

ans 2. 5x = 20 - 4y

5x = 16y

xy = 5/16

I hope it helps....

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