Answer:
1. 4+x
2. x-6
3. 8x
4. x/7
5. x+5=15
Step-by-step explanation:
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.
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
?/5 =8/10 type the missing number that makes this fraction equal
Answer:
4/5 = 8/10
Step-by-step explanation:
x/5 = 8/10
x = 8/10 × 5
x = 4
is 7 a solution to 21-w<14?
(please answer asap!)
Answer:
no
Step-by-step explanation:
well, is 21-7 < 14?
Prime number after
167, 118, 82, 57, 41, ?
Prime numbers after 167, 118, 82, 57, 41, are:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2
Prime numbers are numbers that only have two factors, 1, and themselves.
Apart from these factors, no number can divide them without a remainder.
By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.
This means that the prime number to be chosen will be lesser than 41
Prime numbers lesser than 41 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
Learn more on prime numbers here: https://brainly.com/question/145452
Simplify the expression.
7- 5n + n + 5
-7(-2 ( 3x+1)+ 4) +9
Answer:
correct answer is explained in the picture attached
Find the slope of the line passing through the points (3,-1) and (3, -6).
Answer:
Undefined
Step-by-step explanation:
Slope formula:
y2-y1/x2=x1
In (3,-1), 3 is x1 and -1 is y1
In (3, -6), 3 is x2 and -6 is y2
-6-(-1)/3-3
Which is -5/0
And that couldn't happen in a slope
So the answer is undefined
Hope this helps!
Ashton is 3 times the age of Jason. Ashton is 6 years older
than Nolan. Jason is 7 years old. How old is Nolan? Explain
Answer:
nolan is 15,
Step-by-step explanation:
3*7=21-6=15
solution:
age of Jason is 7
and Ashton is 3 times age of Jason=7*3=21
Nolan age=21-6=15
therefore the age of Nolan is 15 years
A farm lets you pick 3 pints of raspberries for $12.00
do you want me to find the answer or something because ur just doing something and not saying what to do with it
There are 9 3/5 pounds of bricks in the bag each brick weights 1 1/5 pounds ? How many bricks are in the bag
Answer:
there are 6 bricks in th ebag
Step-by-step explanation:
6 bricks in the bag.....
A scuba diver wants to dive more than 2/12 times her previous deepest dive. That means she has to dive at least 70 feet below the surface of the ocean. This dive is represented by the inequality 2/12p<−70, where p is the distance below the surface of her previous deepest dive.
Select from the drop-down to correctly interpret the solution of this inequality.
The scuba diver's previous deepest dive was
Choose...
feet below the surface of the ocean.
The distance below the surface of her previous deepest dive is 420 feet
Given the inequality expression representing the dive given as:
2/12p<−70We are to get the solution to the inequality expression;
Given;
2/12p<−70
Multiply both sides by 12:
2p < 70 * 12
2p < 840
Divide both sides by 2
2p/2 < 840/2
p < 420
Hence the distance below the surface of her previous deepest dive is 420 feet
Learn more on inequality here: https://brainly.com/question/22354790
Answer:
2 1/2p<-70
the answer is deeper than 28
Step-by-step explanation: I took the test
Write an equation in slope-intercept form of the line that passes through (−1, 4) and (0, 2)
[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{2-4}{0-(-1)} = \dfrac{-2}{0+1} = -2\\\\\text{The equation with given points,}\\\\y-y_1 =m(x-x_1)\\\\\implies y -4 = -2(x+1)\\\\\implies y = -2(x+1)+4\\\\\implies y = -2x -2 +4\\\\\implies y = -2x +2\\\\\text{This is the slope-intercept form(y =mx +b)}[/tex]
how do i solve for this?
100 divided by 16.4 as a fraction
Answer:
25/4.1 or 6 and 2/5
Step-by-step explanation:
I can simplify both 100 and 16.4 by 4, so: 100/16.4=25/4.1
Because this is an improper fraction, I simplify it to: 6 and 2/5
Identify an equation in point-slope form for the line parallel to y = -
2/3x+8 that passes through (4, -5).
A. y-4=(x+5)
B. y+5=2/3 (x-4)
C. y+5 = 3/2(x-4)
D. y-5=-2/3(x + 4)
Express as a trinomial.
(x + 6) (2x + 8)
Answer:
2x² + 20x + 48
Step-by-step explanation:
(x+6)(2x+8)
(x)(2x) + (x)(8) + (6)(2x) + (6)(8)
2x² + 8x + 12x + 48
2x² + 20x + 48
is 8.5 greater than 0.85?
Answer:
Yes, 8.5 is greater than 0.85
Step-by-step explanation:
In counting from 0 to the highest possible positive number in steps of 0.01, we come across 0.85 before 8.5. This means that 8.5 is greater than 0.85
someone please help me!
GIVING BRAINLIST TO FIRST RIGHT ANSWER
Answer:
A. The mean is increased by 3
Step-by-step explanation:
2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 = 56/8 = 7
2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 + 34 = 90/9 = 10
10 - 7 = 3
The population of a town gradually decreases by about 30
people a year. In 2015, the population was 3,600 people. Write an equation in general form for the population of this town .
what is the value of the 6 in 26,249?
Answer:
what is the value of the 6 in 26,249?
answer:321305
Step-by-step explanation:
Anybody can help? (Here's a pfp)
First make a guest check
My Guest check #9
1 donut = $1.29
Donut holes = $4.89
Dozen Donuts = $12
Donut Holes = $4.89
$1.29 + $4.89 + $12 + $4.89 = $23.07
$23.07 * 8% = $24.92 is the 9th check list
My Guest check #10
1 donut = $1.29
1 donut = $1.29
Dozen Donuts = $12
Donut Holes = $4.89
$1.29 + $1.29 + $12 + $4.89 = $19.47
$19.47 * 8% = $21.03 is the 10th check list
What is the area of a parallelogram with base 40 mm and height 18 mm?
Answer:
720 mm²
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
For the given base and height, the area is ...
A = (40 mm)(18 mm) = 720 mm²
By definition pH = - log H+], where H*] is the hydrogen concentration in $ ltext(moles per liter]$. If the pH
of a solution is 3, what would the [H+] in the solution (written in scientific notation)?
A ........................ig
Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers during the 7-hour tour.
If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 3 hours?
Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green? Enter your answer in the box.
19 times Answer:
Step-by-step explanation:
The required number of panels that were painted to be green is 19.
Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Pattern = "orange, yellow, pink, green, purple."
1 2 3 4 5
Total number of panels = 98
Number of panels that were painted green,
= 98 / 5
= 19 + 3/5
In the 19 pattern, there are 19 panels that is green,
While in the remaining 3 panels consist of orange, yellow, and pink.
Thus, the required number of panels that were painted to be green is 19.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Which of the following rational functions is graphed below?
Answer:
Option C
Step-by-step explanation:
According to the graph, there are vertical asymptotes at [tex]x=-3[/tex] and [tex]x=7[/tex]. Therefore, C is correct because -3+3=0 and 7-7=0.
f (x) = 6x + 4. Find the inverse of f(x).
O A. f-1 (2) = 4 - 6x
O B. f-1(x) = 6x - 4
O c. f-(x) =
O D. f-'(x) = 20
2-4
-6
If [tex]f^{-1}(x)[/tex] is the inverse of f(x), then
[tex]f\left(f^{-1}(x)\right) = x[/tex]
By definition of f(x), we have
[tex]f\left(f^{-1}(x)right) = 6f^{-1}(x) + 4 = x[/tex]
Solve for the inverse :
[tex]6f^{-1}(x) + 4 = x[/tex]
[tex]6f^{-1}(x) = x - 4[/tex]
[tex]f^{-1}(x) = \dfrac{x-4}6[/tex]
which makes C the correct choice.
In an economics class, 4 students earned an A, 6 earned a B, 5 earned a C, 5 earned a D, and 3 earned an F. If a single student is picked at random, what is the probability that they earned an B or C?
Provide your answer as a simplified fraction.
Answer:
11/23
Step-by-step explanation:
B = 6
C = 5
6+5=11
11/23
please help ill mark brainliestO
Answer:
AA, SAS, SSS
Step-by-step explanation:
These three theorems can be used to find similar triangles.
pls help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2 dashes to the left
Step-by-step explanation:
just plot a point two dashes to the left