n applicant receives a job offer from two different companies. Offer A is a starting salary of $58,000 and a 3% increase for 5 years. Offer B is a starting salary of $56,000 and an increase of $3,000 per year.

Part A: Determine whether offer A can be represented by an arithmetic or geometric series and write the equation for An that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)

Part B: Determine whether offer B can be represented by an arithmetic or geometric series and write the equation for Bn that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)

Part C: Which offer will provide a greater total income after 5 years? Show all necessary math work. (4 points)

N Applicant Receives A Job Offer From Two Different Companies. Offer A Is A Starting Salary Of $58,000

Answers

Answer 1

The amount provided by each offer after each year depends on the first

salary and the added amount or percentage series.

Part A: Offer A can be represented by a geometric seriesThe salary received after n years is Aₙ = 58,000·1.03⁽ⁿ ⁻¹⁾

Part B: Offer B can be represented by an arithmetic seriesThe equation for the salary after n years is Bₙ = 58,000 + (n - 1)×3,000

Part C: The offer that will provide a greater income after 5 years is offer B, with an income of $70,000

Reasons:

The given parameters of the job offers are;

Starting salary of offer A = $58,000

Amount by which the salary increases for 5 years = 3%

The starting salary offer B = $56,000

Amount by which the salary increases per year = $3,000

Part A: The salary amount received in the first month = $58,000

The salary in the second month, aₙ = 58,000 × (1 + 0.03)

a₂ = 58,000 × (1 + 0.03) = 58,000 × (1.03)

The salary in the third month is given as follows;

a₃ = a₂ × (1.03) = 58,000 × (1.03) × (1.03) = 58,000 × (1.03)²

The salary on the nth month is therefore;

aₙ = 58,000 × (1.03)⁽ⁿ⁻¹⁾

The above formula is in the form of the geometric series formula, which is presented as follows;

aₙ = a·r⁽ⁿ⁻¹⁾

Where;

a = The first term = 58,000

r = The common ratio = 1.03

n = The number of years

Therefore;

Offer A can be represented by an arithmetic series

Part B: The first year salary for offer B = $58,000

The salary on the second year, B₂ = 58,000 + 3,000 = 61,000

Salary on the third year, B₃ = 58,000 + 3000 + 3000 = 58,000 + 2 × 3,000

Therefore;

Salary on the nth year, Bₙ = 58,000 + (n - 1)×3,000

The above equation is in the form of aₙ = a + (n - 1)·d

Where;

a = The first term = 58,000

n = The number of years

d = The common difference = 3,000

Therefore;

Offer B can be represented by an arithmetic series

Part C: The income gained on offer A after 5 years, a₅, is given as follows;

a₅ = 58,000 × (1.03)⁽⁵ ⁻ ¹⁾ = 58,000 × 1.03⁴ ≈ 65,279.51098

The income gained on offer A after 5 years ≈ $65,279.51098

On offer B, we have;

a₅ = 58,000 + (5 - 1) × 3,000 = 70,000

The income gained on offer B after 5 years = $70,000

Therefore;

After 5 years, the income offered by offer B is greater than the income offered by offer A.

Learn more about arithmetic and geometric series here:

https://brainly.com/question/2735005


Related Questions

please help ill mark brainliest​

Answers

Answer:

x=3

Step-by-step explanation:

6(x+5)=4(x+9)

6x+30=4x+36

2x+30=36

2x=6

x=3

A table of values of a linear function is shown below. Find the output when the input is n.

Answers

Answer:

Step-by-step explanation:

output = y

input = x

y=-2x + 3

if you follow the pattern, the next input is 5 which will output -7

What is the slope of this line?



Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

y = 2

Step-by-step explanation:

there is no slope but the line is at 2 so 2 is the y-intercept so y = 2.

) The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying a pounds
of broccoli
.) Which equation represents this situation?
y = 1.252
• Which graph represents the situation?
Broccoli Prices
Broccoli Prices
Broccoli Prices
(4,5)
.
(3.4.5)
15
15
(5.
(3.3.75
(2,3)
(3.75,3)
(2.2.5)
3
5 25
8 2
(2.5.2
1.5 (1.1.25)
(1.1.5)
(0.5, 0.75)
(1.25.1)
0.5
0.5
0 05 1 1.5 2 25 3 3.5 4 US 5
Amount of Broccoli (b)
0 0.5 1 1.5 2 2.5 3 3.5 4 155
Amount of Broccoli (b)
0 05 1 15 2 2.5 3 3.5 5 5
Amount of Broccoli (b)
DONE

Answers

Answer:

The graph that represents the situation is A

Step-by-step explanation:

Pre college need helpp

Answers

Answer:

check online for more information

What is the circumference of the circle shown below? Use
3.14 for it, round your answer to the nearest tenth.

A) 4.4 yd
B) 8.8 yd
C) 43.9 yd
D 87.9 yd

Answers

Answer:

Its B

Step-by-step explanation:

What is the multiplicative inverse for dividing 5\6 by 7\11

Answers

Answer: The value of 5/6 is 5 and the value 7/11 is 7.

Step-by-step explanation:

if 5/7 of x is 5/21 then what's x?

Answers

[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]

Answer:

[tex]x = \frac{1}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

you bought a bottle of water for $0.50 then you sold it for $1.00 tell whether this is an increase or decrease and give the percent value changed

Answers

Answer:

increase by 100%

Step-by-step explanation:

100% of 0.5 is 0.5 therefore 0.5+0.5=1

Ten plus 6 times a number is equal to 5 less than the number.

PLEASE HELP ME A SOON A POSSIBLE THANK YOU!

Answers

Answer:

1

Step-by-step explanation:

Mark the "number" as x.

6 times x plus 10 = x minus 5.

6x + 10 = x - 5.

Put the x's together:

5x = 5

Divide each side by 5 to leave the x alone:

x = 1

Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.

Answers

Answer:

  25.024 mi/gal

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

  (312.8 mi)/(12.5 gal) = 25.024 mi/gal

72.18 into like fraction

Answers

step by step explanation

Write 72.18 as=

[tex]Write 72.18 as = \frac {72.18}{1} [/tex]

Multiply both numerator and denominator by 10 for every number after the decimal point

[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]

Reducing the fraction gives

[tex] \frac{3609}{50} [/tex]

Rewrite in simplest terms: (4x + 4) - (-4x - 9)
Answer:
Submit Answer

Answers

Answer:

8x+13

Step-by-step explanation:

do you need this part?

How would I write 5.882 times 10 to the -7 power in standard from. Be sure to add the commas

Answers

Answer:

Step-by-eeeeeeeeestep explanation:

Answer:

0.0000005882

Step-by-step explanation:

So... 10 to the -7th power is 1 /10000000 or  0.00000001. When you multiply 5.882 by that, you get 0.0000005882 or if you round it, 0.00000089.

Hope this helps!

Ryan works at the donut shop where he makes $10.25 per hour He also works part time at the school bookstore where he makes $8.75 an hour if he worked 20 total hours last week and made $196 how many hours he did work at the bookstore?

Answers

Answer:

aprometly 19 I think

Step-by-step explanation:

cause don't you have yo divide 196 ÷ 10.25

Simplify the expression.

−10−3

Answers

Answer:

-13

Step-by-step explanation:

Pre college need help

Answers

Answer:

check online for more information

a torist walks 10.5 inches in 3 seconds. how far does it walk per second​

Answers

Divide distance by time:

10.5 inches / 3 seconds = 3.5 inches per second

Answer: 3.5 inches per second

Answer: 31.5

Step-by-step explanation: you multiply the inches by the second.

A force of 18 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W W is done in stretching it from its natural length to 7 in. beyond its natural length

Answers

Answer:

Step-by-step explanation:

Average force is (19 + 0)/2 = 9 lb

2 inches = 1/6 ft

W = Fd = 9(1/6) = 1.5 ft•lb

Plzzzz help I REALLY NEED HELP

Write a division problem with 1/3 as the dividend 3 as divisor. The find the quotient.

Answers

Answer:

1/9

Step-by-step explanation:

answer would be 0.333

tell me, what is 24 x 0.25?

Answers

Answer:

it is 6.

Step-by-step explanation:

..Find the slope of a line that contains the points (0,1) and (1,3)

Answers

Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-1/1-0

m=2/1

m=2

Answer:

2

Step-by-step explanation:

because i got it right on the quiz

20/50 = 30/x solve for x

Answers

Answer:

x = 75

Step-by-step explanation:

20/50 = 30/x

Divide the numbers and find x. If you plug back in 75 for x and simply, you should get the same fraction for each, 4/10.

NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)

Answers

Answer:

  (4,8)

Step-by-step explanation:

One of the marked points on the black line is (4,8).

__

You will notice that the only combination worth $3.00 is (12,0).

Multiply.

(−2/3) x (5/4)

Answers

Answer:

-5/6

Step-by-step explanation:

multiply the top

-10

multiple the bottom

12

you get

-10/12

or simplified

-5/6

Answer:

de 35

Step-by-step explanation:

Can someone pls help really quick


Given the following data points, determine the Mean, Median, Range, and Mode. Then split the data up into Quartiles and Quintiles.

65 57 72 76
98 65 55 69 67
80 64 5 37 8
92 31 54 51 36
Mean:

Median:

Mode:

Range:



The cost of producing a vanity license plate is c = $1000 +$8p where p is the number of plates you produce. Complete the table below:

Number of Plates Total Cost Cost per Plate
15
75
150
What is the minimum number of plates you need to produce in order to make a profit assuming you sell the plates for $20? What about if you sell the plates for $15?

Answers

Answer:

Step-by-step explanation:

Mean: 56.95

Median: 64

Mode: 65

Range: 93

15 plates = $1000 + 8(15) = $1120

75 plates = $1000 + 8(75) = $1600

150 plates = $1000 + 8(150) = $2200

BRAINLIEST HELPPPP PLEEEASE

Answers

Being the same distance away from 0 if you add the positive and negative values together the answer would be 0.

Answer: x + y = 0

James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?

Answers

Yes because if you do 19.99 times 6 you get 119.94

[tex]\sqrt{\frac{-140}{\sqrt{28} }[/tex]

Answers





This is the answer

-5, 20, -80, 320, ... is a geometric
sequence.
What is the explicit rule

Answers

Answer:

Multiplied by -4

Step-by-step explanation:

-5 (-4) = 20

20 (-4) = -80

-80 (-4) = 320

Other Questions
To get home, Renae can take one of four buses: #41. #28. #55, or #81. Once she is on a bus, she will randomly select one of thefollowing equally likely activities: listening to her music player, writing a letter, or reading a book. Her choice of bus and choice of entertainment are independenevents, because the bus that Renae took did not affect which activity she chose. For example, what is the probability that Renae writes a letter if she takes the#41 bus? What is the probability that Renae writes a letter if she takes the #55 bus? ANSWER FAST PLZ I REALLY NEED HELP :(Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day? How did Germany link its growing industrial cities? How did the actions within the story affect the resolution?Spending time in her bedroom meant Victoria could think about Grandfather's determination to see her succeed.The rainy day meant that Victoria's Junior Olympic Team competition would be rescheduled.Growing up near the water meant Grandfather could coach swimming and prepare Victoria for the competition.Victoria learned that the opening of the new indoor swimming pool meant the competition would take place as scheduled. Two angles are supplementary. The smaller angle is 35 degrees less than the larger angle. What is the measurement of the larger angle? who was the first person killed in the boston massacre Taylor left to walk the dog at4:25. She got back at 5:00. Howlong was the dog's walk? How do you use observed data to predict unobserved help with this question, please! will give brainly if you help me thx URGENTEvaluate the expression below for the given value X^2+ 2x for x = -3 Consider the energy transfers and transformations that occur when a person rides a bicycle. Describe thiprocess by selecting the correct options from the drop-down menus.Chemical energy is transformed intoenergy in the person's muscles.Kinetic energy isfrom the person's legs to the pedals.Kinetic energy isthermal energy due to friction when the wheels get warm.DONE Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years? En este ejercicio No slo has de localizar DIPTONGOS sino prestar una gran atencin al texto con el fin de localizar TODAS las palabras que los incluyen. Haz una lista de los diptongos que localices. 21 en total pcoming En junio de 1969 dos motivos tan afortunados como triviales condujeron a Mario Jimnez a cambiar de oficio. Primero, su desafecto por las faenas de la pesca que lo sacaban de la cama antes del amanecer, y casi siempre, cuando soaba con amores audaces, protagonizados por heronas tan abrasadoras como las SE... que vea en la pantalla del rotativo de San Antonio. Este talento, unido a su consecuente simpata por los resfros, reales o fingidos, con que se excusaba da por medio de preparar los aparejos del bote de su padre, le permita retozar bajo las nutridas mantas chilotas, perfeccionando sus onricos idilios, hasta que el I pescador Jos Jimnez volva de alta mar, empapado y hambriento, y l mitigaba then co su complejo de culpa sazonndole un almuerzo de crujiente pan, bulliciosas ensaladas de tomate con cebolla, ms perejil y cilantro, y una dramtica aspirina que engulla cuando el sarcasmo de su progenitor lo penetraba hasta los huesos El cartero de Neruda. A. Skarmeta three movie tickets cost 36$ at this same rate how much do 12 tickets cost which graph appears to show a proportional relationship between x and y can you help me with this graph question When should you combine sentences in a paragraph you wrote? Ernie played 35 soccer games this season. He won 28 games. Enter thepercentage of games Ernie won. Which is an equation of the line through the origin and (-5,6)?A. y=-5/6xB. y=-6xC. y=-5xD. y=- 6/5x