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)×3,000Part C: The offer that will provide a greater income after 5 years is offer B, with an income of $70,000Reasons:
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
please help ill mark brainliest
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.
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.
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
Answer:
The graph that represents the situation is A
Step-by-step explanation:
Pre college need helpp
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
Answer:
Its B
Step-by-step explanation:
What is the multiplicative inverse for dividing 5\6 by 7\11
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?
[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
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!
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.
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
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
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
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?
Answer:
aprometly 19 I think
Step-by-step explanation:
cause don't you have yo divide 196 ÷ 10.25
Simplify the expression.
−10−3
Answer:
-13
Step-by-step explanation:
Pre college need help
Answer:
check online for more information
a torist walks 10.5 inches in 3 seconds. how far does it walk per second
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
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.
Answer:
1/9
Step-by-step explanation:
tell me, what is 24 x 0.25?
Answer:
it is 6.
Step-by-step explanation:
..Find the slope of a line that contains the points (0,1) and (1,3)
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
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)
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)
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?
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
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?
Yes because if you do 19.99 times 6 you get 119.94
[tex]\sqrt{\frac{-140}{\sqrt{28} }[/tex]
-5, 20, -80, 320, ... is a geometric
sequence.
What is the explicit rule
Answer:
Multiplied by -4
Step-by-step explanation:
-5 (-4) = 20
20 (-4) = -80
-80 (-4) = 320