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)

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

salary and the added amount or percentage series.

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;

Learn more about arithmetic and geometric series here:

https://brainly.com/question/2735005

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?

What is the slope of this line?



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

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

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

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

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)

please help ill mark brainliest​

Plzzzz help I REALLY NEED HELP

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

Pre college need helpp

) 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

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

PLEASE HELP ME A SOON A POSSIBLE THANK YOU!

Simplify the expression.

−10−3

Pre college need help

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

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

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

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

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

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

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

tell me, what is 24 x 0.25?

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?

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

20/50 = 30/x solve for x

72.18 into like fraction

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

Multiply.

(−2/3) x (5/4)

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

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

BRAINLIEST HELPPPP PLEEEASE