Your boss has given you two options for salary increase. Your current salary is $45,000 per year.
Option 1: A raise of $2000 per year (linear growth).
Option 2: A yearly 4% raise (exponential growth).
a) Write an explicit equation for both options.
b) Fill in the table below,

Answers

Answer 1

Answer:

Step-by-step explanation:

There is no table but I will do the equations

Option 1

45000+2000t

let "t" represent the number of years

Option 2

45000*1.04t

let "t" represent the number of years


Related Questions

-7 2/3+(-5 1/2) +8 3/4=

Answers

Exact Form : -53/12
Decimal Form : -4.416
Mixed numbers : -4 5/12

Step-by-step explanation:

Please refer to the attachment

Convert 5.5 feet to inches. There are 12 inches in 1 feet.

Answers

Answer:

GIVE BRAINLIEST PLZ

Answer:66

Step-by-step explanation:

5.5* 12=66

There you go

Point P on a coordinate plane, located 3 units to the left of the vertical axis and 2 units below the horizontal axis.
A. (–3, –2)
B. (–3, 2)
C. (–2, –3)
D. (–3, –3)

Answers

Answer:

A. (-3,-2)

follow me please
Answer : A. (-3,-2)
This is the correct answer

Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%

Answers

Answer:

1. 1/2

2. 99/100

3. 3/20

4. 2

A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?​

Answers

Answer:91 years

Step-by-step explanation:

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag

complete one column of the table with prices where popcorn is priced..... and to be continue ​

Answers

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Function Modeling

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

We'll use the first two values (6,10) (8,20)

Simplifying and rearranging, we get the model

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

The price for a 60-ounce bag of popcorn would be $16

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .

Answers

Answer:

Y= -3/2x + 2

If the y-intercept was negative it would be y= -3/2-2

Tyrell buys a sandwich for $7 and some cookies that cost $0.75 each. To use his debit card, Tyrell must make a purchase at least $10. how many cookies does he buy

Answers

Tyrell needs to buy 4 cookies

A Red Queen is multiplying 32 x 17. She says the answer is going to be greater than 17. Do you Disagree or Agree with her?Why?

Answers

Answer:

Yes

Step-by-step explanation:

Because 17 times 32 equals 224

What is the area of this face? 12ft 6ft 6ft 6ft

Answers

Answer:

I don't know. I think I need the picture that is associated with it.

Step-by-step explanation:

If you are looking for an i-Ready answer, It is 180 ft squared

Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.

Answers

Answer:

Step-by-step explanation:

What are the choices

Answer:

mariannas design has the lowest valley floor over the first 6 inches of the design

Step-by-step explanation:

correct.

Use the formula C = 5 over 9(F - 32) to write 126° F as degrees Celsius, round to the nearest tenth.

Answers

52° is your answer :)

PLEASE HELP I WILL MARK BRAINLIST!!

Answers

14: [tex]\frac{1}{2} = \frac{8}{1}[/tex]    [tex]\frac{x}{y} = \frac{56}{1}[/tex]

56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"

1/2 · 7/1 = 7/2 or 3 1/2

15.  [tex]\frac{2}{5} = \frac{x}{100}[/tex]

to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.

40/100 = 40% or D

16. [tex]\frac{3}{5} = \frac{12}{x}[/tex]

A

what is log17 60 evaluated?

Answers

Answer:

1.77815125038

Step-by-step explanation:

Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each.



How many GALLONS of honey did Lila collect in all?

Answers

Answer: 1 1/6

Step-by-step explanation: i dont know if this is right, but hope it helps

Answer:

1 1/6

Step-by-step explanation:

Given function:

find the three beehives honey Lila total collected2/3,1/4,1/4

Combine the terms:

[tex]\frac{2}{3}+\frac{1}{4}+\frac{1}{4}=\frac{2}{3}+\frac{2}{4}[/tex]                    

Simplfly the fraction terms:

[tex]\frac{2}{3}[/tex]·[tex]4=\frac{8}{12}[/tex] [tex]\frac{2}{4}[/tex]·[tex]3=\frac{6}{12}[/tex]

Combine the terms:

[tex]\frac{8}{12}+\frac{6}{12}=\frac{14}{12}[/tex]

Simplifly the final value:

[tex]\frac{14}{12}=1\frac{2}{12}[/tex] [tex]1\frac{2}{12}=1\frac{1}{6}[/tex]

Therefore, the three beehives gives a total of 1 1/6 honey..

!!!!please helppppppp

Answers

9514 1404 393

Answer:

  13/18

Step-by-step explanation:

5 of the 18 students have a cat, so 13 of them do not.

The probability that a student in the group does not have a cat is 13/18.

what is the perimeter write your solution

Answers

Answer: 88in

Step-by-step explanation:

As he has doubled the sides, the length would now be 24 and the width would be 20.

So then, to work out the perimeter you have to add up all of the sides.

24+24+20+20=88in

Hope this helps :)

You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per
person. When you check the company's website, you find that they also offer a special group rate. The group rate is only $8.99
per person, but also includes a $20 reservation fee in addition.
What is the minimum number of people that would need to attend your party in order for the group rate to be a better deal?
A
4 people
B)
5 people
Eliminate
6 people

Answers

6 people. With 4 people the first option ($12.99 per person) was cheaper, with 5 people they cost the same, so 6 people would be the minimum for the other to be cheapest

The Boston Red Sox had 949 runs in their 2004 season. In their 2015 season, they had 748 runs. Find the rate of change in runs.​

Answers

Answer: -18.27 per year

Step-by-step explanation:

The difference in years is:

= 2015 - 2004

= 11 years

In those 11 years, the runs decreased from 949 to 748.

The total decrease is:

= 949 - 748

= 201 runs

The rate of change is:

= 201 / 11

= 18.27 per year

Since it is reducing, the rate is:

= -18.27 per year

what is -1/8 - 6 7/8​

Answers

Answer:

-7

Step-by-step explanation:

I am sorry if I got it wrong.

they are right it is -7

5th grade math. Correct answer will be marked brainliest:

Answers

Answer:

(6,6)

Step-by-step explanation:

Answer:

(6,6)

Step-by-step explanation:

hope this helps have a great day.

help please i’ll give extra points

Answers

Answer:

P would be reflected into quadrant 4.

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.

Have a nice day!

what is the value of x ?
a. 10.4
b. 52
c. 61.6
d. 92

Answers

the answer is 10.4 because 180 - 128 is 52 then divide by 5 which gives you 10.4 :)

Plzz help
A store buys an $10 sweater; the store adds a markup of 40%. What is the selling price of the sweater?

Answers

Answer:

$14

Step-by-step explanation:

40% of 10 is 4

4+10=14

hope this helps

find the distance between the two points

(1, 2), (-3, 5)​

Answers

Answer:

13

Step-by-step explanation:

if you  cannot find the awnser next time try mathaway it gives you the awnser and tells you an explanation.

three times the quotient of 3 and 5

Answers

Quotient means division, so three times of the quotient means 3 divided by 5 = 0.6
0.6 x 3 = 1.8.

Three times the quotient of 3 and 5 is equivalent to 1.8


Expressions and equations

The question asked us to convert the word problem to equation and solve.

The quotient of 3 and 5 is expressed as 3/5

Taking the product of the result and 3 will give;

Three times the quotient of 3 and 5 = 3 * 3/5

Three times the quotient of 3 and 5 = 9/5 = 1.8

Hence three times the quotient of 3 and 5 is equivalent to 1.8

Learn more on expressions here: https://brainly.com/question/723406

#SPJ6

Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?

Answers

2,007.5

Explanation: The round trip to go to the park is 5.5 (2.75 times). Then multiply 5.5 by 365 days and you’ll get 2,007.5


In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?


Answers

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

5x + 75 = 180

5x = 105

x = 21

Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.

How many years will the lab have to safely

store the material before disposal?

Answers

Answer:

The lab will have to wait 19.45 yers to safely store the material before disposal.

Step-by-step explanation:

Exponential equation for substance decay:

A exponential equation for the amount of a substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Decays at 3.5% per year.

This means that [tex]r = 0.035[/tex]

So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]A(t) = A(0)(0.965)^{t}[/tex]

How many years will the lab have to safely store the material before disposal?

It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.965)^{t}[/tex]

[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]

[tex](0.965)^t = 0.5[/tex]

[tex]\log{(0.965)^t} = \log{0.5}[/tex]

[tex]t\log{0.965} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]

[tex]t = 19.45[/tex]

The lab will have to wait 19.45 yers to safely store the material before disposal.

a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?

Answers

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

50% is the correct answer to this problem hope it helps
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