A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical,
which offer will allow the worker to earn the most over six years?
O a starting salary of $49.000 with a 3% increase each year
O a starting salary of $51 000 with a 1% increase each year
O a starting salary of $48,000 with a 6% increase each year
a starting salary of $50,000 with a 2% increase each year

Answers

Answer 1

9514 1404 393

Answer:

  $48,000 to start, with 6% raises

Step-by-step explanation:

The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.

The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...

  S = s((1+r)^6 -1)/r

Here are the total earnings, in thousands, for each of the offers:

  a) s = 49, r = .03, S = 316.95

  b) s = 51, r = .01, S = 313.75

  c) s = 48, r = .06, S = 334.82 . . . . best offer

  d) s = 50, r = .02, S = 315.41

The worker can earn the most from a starting salary of $48,000 and 6% increases each year.

Answer 2

C) a starting salary of $48,000 with a 6% increase each year


Related Questions

Please find the value of this one expression

Answers

Answer:

Solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6

The answer is 6.

Step-by-step explanation:

We need to find value of expression: [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex]

We know that [tex]\sqrt{81}=9[/tex]

Our expression will become

[tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4[/tex]

We can write [tex]\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\[/tex]

Now, replacing [tex]\sqrt[6]{8}=\sqrt{2}[/tex]

[tex]=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6[/tex]

So, solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6

Find the values of x and y!!(help please)

Answers

Y = 66 degrees
X = 24 degrees

5% of 60 is what number?

a . 6
b . 5
c . 3
d . 60

Answers

Answer: The answer is 3

Step-by-step explanation:

-5w = -80. solve for w.

Answers

Answer:

w=16

Step-by-step explanation:

-5w = - 80 Divide both sides of the equation by- 5 -5w ÷(-5)= - 80 ÷ ( - 5 ) any expression divided by itself equals 1 w = - 80 ÷ ( - 5 ) = w = 16 also you should use photomath that's what I use

Answer:

w=16

Step-by-step explanation: -80/-5=16

I Tried 140 And 80. Those answer were incorrect. Right Answer gets 5 stars and a branliest. THANK YOU SO MUCH!!

Answers

Answer:

a 60

Step-by-step explanation:

Answer:

The Answer Is 60 I Had This Test Already.

Step-by-step explanation:

This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?

Answers

Answer:

58

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

Place the steps in the correct order

Answers

Answer:

1. Add x on both sides.

2.  Divide both sides by 4.

3. Add 20 to both sides.

4. Divide both sides by 3.

Brainliest Appreciated! Hope I helped!

The ratio on a key board of number keys to letter keys is 3:15. If a manufacturer produced 156 letter keys,then how many keys would need to be produced?

Answers

Answer: Approximately 31 number keys.

Step-by-step explanation: Ratio is a comparison between two values.

Ratio for number keys to letter keys is [tex]\frac{3}{15}[/tex], which means each 3 group of number keys is equivalent to 15 letter keys.

The producer will need

[tex]\frac{3}{15} =\frac{x}{156}[/tex]

[tex]x=\frac{3.156}{15}[/tex]

x = 31

The manufacturer will need to be produced 31 keys.

Determine the correlation:
How much you study vs. The grade you get on your test

A- positive correlation
B- negative correlation
C- no correlation

Answers

a - positive correlation

teachers are just like that sometimes man

they are saying that the more you study the higher your grade is, so positive correlation

A department store buys 500 shirts at a cost of ​$13,500 and sells them at a selling price of ​$30 each. Find the percent markup.

Answers

Answer:

5.5%          hope this helps have a great day!

Step-by-step explanation:

Answer:

  450

Step-by-step explanation:

i think if you do 13,5000 divided by 30 you get 450 thats why im saying 450


I jus need the focus and directrix please.

Answers

Answer:

the vertex is (3,-2), the focus is (3,-7/4), and the directrix is  y=-9/4

Step-by-step explanation:

in order to find the vertex, you convert the equation into vertex form so

y=(x-3)^2-2

With this, we can find the vertex which is at (3,-2)

In order to find the focus and diretrix, we need to find the value of p

We do this by creating the equation:

x^2=4py

in this case, (x-3)^2=4p(y+2) so 4p must equal 1 so p is 1/4

In order to find the focus, we add the value of p to the y coordinate of the vertex so the focus is (3,-2+1/4) which is (3,-7/4)

In order to find the directrix, we subtract the value of p to the y coordinate of the vertex so the directrix passes through the point (3,-2-1/4) which is (3,-9/4)

When we graph this parabola, we can tell that the directrix will be in the form of y = a and since this line passes through (3,-9/4) the directrix is y=-9/4

I hope you understand this explanation.

who's good at math? i need help ASAP. *don't mind the red numbers, i think they're wrong*

Answers

Answer:

Seems like someone answered them, because the red writing is right, but here's the answers with explanation

Step-by-step explanation:

The vertex is the point at which the graph changes direction as we go from left to right. Maximum means the graph is changing direction and going down, so the f(x)-values start becoming smaller. So the graph reached its maximum/highest point and dropped.Minimum means the graph is changing direction and going up, so the f(x)-values start becoming bigger. So the graph reached its minimum/lowest point and started risingNow the answers:Vertex is (-1,0) because if you look at the numbers for f(x) they go, 4 then 1, then 0, but instead of getting smaller they start getting bigger, so it changes as this point and goes up so minimumvertex is (3,44), when you look at f(x) it goes 143, then 88, then 55, then 44, then it changes and starts getting bigger so minimumvertex is (-4,-5) but this one is different from the first two. f(x) starts with -17 then -9, then -5, then it sort of stops and stays there, then -5 then drops and gets smaller. So it changes at x=-4 so use this point, immediately before the change and it is maximumVertex is (21,500) because f(x) was getting bigger but then it changes and goes down and becomes smaller, so it is maximumvertex is (1.5,6) the point immediately before the change, and we see f(x) was getting smaller going down, but it changes and goes up and gets bigger so it is minimumvertex is (0.5,5) because it was getting big then changed and started getting smaller so maximum

Find the equation that shows the relationship between the number of pens, p, and the
total cost, c.
5
10
15
20
Number of Pens (p)
$3.95
$7.90
$11.85
$15.80
Cost (c)

Answers

Answer: c= 0.79p

Step-by-step explanation:

Divide each cost by the number of pens it have to find the constant change value.

3.95/5 = 0.79

7.90/10= 0 .79  

11.85/15 = 0.79

15.80 / 20 = 0.79

Since the constant change is 0.79  which means that for each pen it will cost you $0.79, then the equation will be  c= $0.79p  where c is the cost and p is the number of pens.

Find the inverse of the function y = x2 – 12.

Answers

Answer:

y = √ x+12(square root of x+12)

Step-by-step explanation:

x = y^2 - 12

x+12 = y^2

y^2 = x+12

y = √ x+12

Answer:

Question 1. Find the inverse of the function y = x2 – 12.

B. y=+/- sqrt x+12 end sqrt

Question2. Find the inverse of the function y=2x2+2

D. y= +/- sqrt 1/2x-1 end sqrt

Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 mystery books. How many shelves will he need to build?

Answers

Answer:

37.2 = 38

Step-by-step explanation:

After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.

Which could be the length of DB​

Answers

Answer:

5

Step-by-step explanation:

If AD was 6, and D isn't in the middle of the triangle, then DE must be a number lower than 6.

Which the only number like this is 5.

Hope this Helps!

:D

4 friends are sharing a new pack of pencils. if there are 12 pencils in each pack how many will each friend get?


(I am lazy to answer this by myself so please help me)​

Answers

Answer:

3

Step-by-step explanation:

3 times 4 equals 12

hope I got it right

Step-by-step explanation:

they would each get 4 pencils

Describe fully the single transformation that takes shape P to the shape Q

Answers

Answer:

Enlargement by a scale factor of 3 centre (1,0)

Step-by-step explanation:

Answer:

Dilation by a scale factor of 3 about (1,0)

Enlargement by a scale factor of 3 centre (1,0)

Step-by-step explanation:

u have to put both to get the full marks

hope this helped :)


1. The sum of a number and ten.

Answers

Answer: X+10

X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum

this means that you are adding something, so you're going to use the
+
sign;

of a number

this means that you're dealing with a variable. The most common notation for a variable is
x
.

and 10

this is simply an integer that must appear in the algebraic expression along the variable
x
.

So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10

Answer:

x+10

Step-by-step explanation:

sum = addition (+)

number = variable because we don't know what the number is yet (x)

ten=ten

So by this we can get x+10

Pure copper was mixed with a 10% copper alloy to produce an alloy thát was 25% copper. How much of the pure copper and how much 10% alloy were used to produce 36 kg of 25% alloy?

Answers

Answer:

6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy

Step-by-step explanation:

Here, we want to produce 36 kg of 25% alloy

Let the Pure copper be x kg while 10% alloy be y kg

Pure copper is simply 100% copper

Thus;

x + y = 36 •••••(i)

Then;

100% of x + 10% of y = 25% of 36

= x + 0.1y = 9 •••••• ii)

From i x = 36-y

from ii, x = 9-0.1y

Equate both x

36-y = 9-0.1y

36-9 = 0.1y + y

0.9y = 27

y = 27/0.9

y = 30

x = 36-y

x = 36-30

x = 6 kg

What is the value of this expression below when z=8 and w=3
9z-8w

Answers

Answer:

Step-by-step explanation:

Putting values in the equation

9z - 8w

9(8) - 8(3)

72 - 24

= 48

Answer:

9z-8w=48

Step-by-step explanation:

9x8-8x3

72-24=48

BRAINLIEST FOR WHO ANSWERS
(−2x ^2 −4x+2) - (−6x+2)
The answer is not -2x+2x

Answers

Answer:

-2x^2-2x

Step-by-step e-xplanation:

−2x2−4x+2−(−6x+2)

Distribute the Negative Sign:

=−2x2−4x+2+−1(−6x+2)

=−2x2+−4x+2+−1(−6x)+(−1)(2)

=−2x2+−4x+2+6x+−2

Combine Like Terms:

=−2x2+−4x+2+6x+−2

=(−2x2)+(−4x+6x)+(2+−2)

=−2x2+2x

Which statement is true about the equations –3x + 4y = 12 and 1 x - y = 1?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

           None of these answers is true

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

after 3 hours ernie had traveled at 195 miles if he travels at a constant speed how far will he have traveled after 5 hours

Answers

Answer:

325

Step-by-step explanation:

195/3=65

5*65=325

Jackson had $53 in his account. He bought a video game. He now has -$12 in his
account. How much was the video game?

Answers

Answer:

$65

Step-by-step explanation:

Add 53 and 12 together to see how much it costed.

From Mickey Grace to Everyone:
Grace is 4 years older than Elena. If Grace is 9
years old, how old is Elena? Grace is

Answers

Answer:5

Step-by-step explanation:

Help please I’m so bad at these

Answers

Answer:

23/24

Step-by-step explanation:

I used my calculator, but find the greatest common factor which is 24 and convert and multiply to get 23/24.

I think the answer would be 23/24

PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!!

Answers

Answer:

the picture is really blurry i cant see anything

Step-by-step explanation:

please help (picture provided shows question)

Answers

Answer:

They need to sell 3 tees, and incurred $60.  

Step-by-step explanation:

What is the revenue equation? R = 20x, where x is the # of tees sold.

What is the cost equation? C = 5x + 45, where x is the # of tees sold.

Set those two equations equal, we get:

20x = 5x + 45, 15x = 45, x = 3.

3*5 + 45 = 60.

Can someone help me with this?

Answers

Answer:

Vertical

Step-by-step explanation:

They make a bow tie, so to speak.

Other Questions
What was the relationship between the french and indian war and the english colonial policies that led to the declaration of independence? ANSWER QUICKLY OMG What did Karl Marx and Engels predict would happen as a result of uneven distribution of wealth(large gap between the rich and poor)? He did not care about it 13. The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula (t) = aert. Calculate the total number of Cl atoms in 150mL of liquid Ccl4 (d=1.589g/mL) Would anyone be able to help me with this?? I just cannot get it right, n i need to get this done soon!! Please don't answer if you do not know... If the answer you give is correct, you will get a brainliest, a thanks, and five stars... PLEASE PLEASE HELP!!! help me please Select the correct answer.What is the product of Which colonial region had the largest area of land? a Southern Colonies. b Middle Colonies c New England why do most Jews don't believe in Jesus To round a number, look at the digit to the right of theChapterplace value to which you are rounding.1 If the digit is 5 or more, round up. If the digit is less than 5, round down.Round upAdd 1 to the146 rounded to the nearest ten is 150.number in the placevalue to which youThis is the Since 6 is greater than 5, round theare rounding.tens place. 4 up to 5.Make the digits tothe right of it o.45.23 rounded to the nearest tenth is 45.20.Round downDo not change thenumber in the placeThis is the Since 3 is less than 5, the 2 stays thevalue to which youtenths place. same.are rounding.Make the digits to2. Underline the tens digit. Round to the nearest ten.the right of it o.a) 36b) 162c) 1053. Underline the hundreds digit. Round to the nearest hundred.a) 732b) 675C) 18254. Underline the tenths digit. Round to the nearest tenth.a) 0.37b) 74.55c) 15.235. Underline the hundredths digit. Round to the nearest hundredth.a) 1.212b) 3.427c) 0.351 Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her? In your hands, my fellow citizens, more than in mine, will rest the final success or failure of our course. Since this country was founded, each generation of Americans has been summoned to give testimony to its national loyalty. The graves of young Americans who answered the call to service surround the globe.Now the trumpet summons us againnot as a call to bear arms, though arms we need; not as a call to battle, though embattled we arebut a call to bear the burden of a long twilight struggle, year in and year out, rejoicing in hope, patient in tribulationa struggle against the common enemies of man: tyranny, poverty, disease, and war itself.Can we forge against these enemies a grand and global alliance, North and South, East and West, that can assure a more fruitful life for all mankind? Will you join in that historic effort?In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger. I do not shrink from this responsibilityI welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve itand the glow from that fire can truly light the world.And so, my fellow Americans: ask not what your country can do for youask what you can do for your country.My fellow citizens of the world: ask not what America will do for you, but what together we can do for the freedom of man.Finally, whether you are citizens of America or citizens of the world, ask of us here the same high standards of strength and sacrifice which we ask of you. With a good conscience our only sure reward, with history the final judge of our deeds, let us go forth to lead the land we love, asking His blessing and His help, but knowing that here on earth Gods work must truly be our own.Which of the following basic sentence structures appear in the passage?I. simpleII. complexIII. compound-complexA.I onlyB.I and IIC.I and IIID.II and III E.I, II, and III A measuring tape unwinding from a drum of radius r.The center of the drum is not moving; the tape unwinds as its free endis pulled away from the drum. Neglect the thickness of the tape, sothat the radius of the drum can be assumed not to change as the tapeunwinds. In this case, the standard conventions for the angularvelocity omega and for the (translational) velocity v of the end of the tape result in a constraint equation with a positive sign (e.g., if v>0, that is, the tape is unwinding, then \omega > 0 also).Assume that the function x(t) represents the length of tape that has unwound as a function of time. Find (t), the angle through which the drum will have rotated, as a function of time. Express your answer (in radians) in terms of x(t) and any other given quantities.Express your answer (in radians) in terms of x(t) and any other given quantities.(t)=x(t)/r Whoever has the funniest storys wins brainliest, the points from the question and good luck tehehe(Requirments)As much as you can rightSUPER FUNNYHUrry and AnsWer MY GuYs HeHePart 2 !Please only answer if you know! :) What is the soloution to the equation 30.16= 17.56 + -5xA- 6.032B- 3.512C- 12.6D- 2.52 Can SOMEONE HELP ME PLZ!!!! A person stands at the deep end of a swimming pool and looks at his dive mask which is at the bottom of the pool at a depth of 3.19 m. The index of refraction for water is 1.33. At what depth does the person see his dive mask (apparent depth in meters)? Your answer should be a number with three decimal places, do not include the unit. please help with my french i will give you brainliest if you answer correctly please help (20 points also if you answer) What should Joe do next?Joe is a counselor at a summer camp for children ages13 to 16. During an activity, one of the campers slippedand hit his head. Joe immediately checked forconsciousness and found that the boy was notbreathing.O Call 911.O Do compressions.O Do compressions while calling 911.O Do gentle rescue breathing while calling 911. What is one of the ways the FITT principle will allow you to design a workout program for yourself. Please help !!