Joshua was offered a job that paid a salary of $77,500 in its first year. The salary was set to increase by 2% per year every year.
If Joshua worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole
number?

Answers

Answer 1

Answer:

if you want it as dollars and cents it is $77.50 but in nearest whole number it would be 78 dollars

Step-by-step explanation:

step 1: multiply the 2 by 5 and you get 10%

step two: you put 10 over 100 and multiply 77,500

10/100 x 77,500/1= $77.50

but when you roung it off you get 78 dollars

Answer 2

Answer: joshua earned $403,313 over 5 years

Step-by-step explanation:


Related Questions

a recipe for trail mix calls for 50 grams of almonds for every 2 cups of oats. the line represents the relationship between the amount of almonds and the amount of oats needed to make trail mix according to this recipe. the point (1, 25) is on theine. what is the equation for this line? use the format y=kx

Answers

Answer:

The equation is: y=25x

Step-by-step explanation:

Linear Modeling

When two variables have a linear dependency, the relationship between them can be written as:

y=kx+b

Where k is the slope and b is the y-intercept. When b=0, then the relationship is called proportional, and the equation is:

y=k.x

For the question, we call y=grams of almond and x=cups of oats.

It's given for x=cups of oats, the recipe for trail mix calls for y=50 grams of almonds. Substituting into the equation:

50=k.2

Solving for k:

k=50/2=25

The final equation is:

y=25x

Note the point (1,25) is on the line, as required.

3/4x + 11 - 5 1/2 + 1/4x

Answers

[tex] \frac{3}{4} x + 11 - 5 \frac{1}{2} + \frac{1}{4} x[/tex]

[tex]( \frac{3}{4} x + \frac{1}{4} x) + (11 - 5 \frac{1}{2} )[/tex]

[tex] (\frac{3x}{4} + \frac{x}{4} ) + (11 + - \frac{11}{2} )[/tex]

[tex]( \frac{(3x + x)}{4} ) + ( \frac{22}{2} - \frac{11}{2} )[/tex]

[tex] \ \frac{4x}{4} + \frac{11}{2} [/tex]

[tex]x + \frac{11}{2} [/tex]

-----------> Comment your Epic Games Name or Nintendo Switch friend code here so I can add you on Rocket Leauge!(Answer if your plat 3 or above in doubles)<-------------------

Answers

Answer:

daddys_angel_yt

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ricardoconsort14 and RicardoOrtVill

A researcher believes that working out in colder temperatures will burn more calories because a person has to burn more calories to keep warm. The researcher decides to study various groups of people working out at different temperatures and measure their progress. How would you describe the temperature in the study?


A Observational


B Experimental


C Census


D Simulation

Answers

Answer:

B. Experimental

Step-by-step explanation:

The only way to properly study this would be by using an experimental study. The researcher would need to create different groups and place them in different temperature conditions but keeping all of the other variables in the study the same while they exercise. Then gather as much data as possible including weight, calorie consumption, body temperature, etc. Finally, analyze the data and come to a conclusion. The other types of studies will not allow the researcher to gather the necessary data to come to a proper conclusion.

17. You roll two dice. How many ways can you roll a sum greater than 7 or a doubles?​

Answers

Answer:

brainliest?

Step-by-step explanation:

You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. What is the width of the frame? ​

Answers

Answer: 3.2 inches

Step-by-step explanation:

Is this function linear or nonlinear?

y=3x−5


nonlinear

linear

Answers

Answer:

linear

Step-by-step explanation:

Answer:

It is linear.

Step-by-step explanation:

This is for my lil sister

Answers

Answer: yes

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Select the statement that best describes the rates of the two cars

Answers

Answer: on the selected dots your answer should be that car 1 is traveling faster than car 2.

यूदि एक वृत्त का परिमाप और क्षेत्रफल बरावर हो
तो उसकी त्रिज्या क्या होगी?

Answers

Answer:

I Can't understand your language !!!!!

Step-by-step explanation:

Please ask it in English Lol !!!!

जैसा कि हम जानते हैं कि,
वृत्त की परिधि = 2πr
वृत्त का क्षेत्रफल = .r
2

यह देखते हुए कि वृत्त की परिधि और क्षेत्रफल संख्यात्मक रूप से बराबर हैं।
अत,
πr
2
= 2 =r
आर
2
-2r = 0
आर (आर -2)
⇒r = 0 या r = 2


Hope this helps.

Does the table represent a proportional relationship? Show your work!

Answers

yes, adding going up one every time, 5,6,7,8

hi anyone can help me ??​

Answers

Answer:

Step-by-step explanation:

a) The name of the figure is a pentagon.

b) You need to find <HBA. Before you can do that, you need to get the interor angle of 43 and 104

EAF = 180 - 43

EAF = 137

HCD = 180 - 52 = 128

CDE = 180 - 104

CDE = 76

Now you can get <HBA = 540 - 76 - 137 - 90 - 128 = 540 - 431 = 109

x = 180 - 109 = 71

Which of the following transformations could have been used to map Figure A onto Figure B?

Answers

To map figure A onto figure B translation and dilation is used. The correct option is B.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

The process of changing the location of the image on the coordinate system will be known as the translation.

In the given image figure A is a parallelogram its size is increased or dilated and the figure is translated to the new location by using the translation.

Therefore, to map figure A onto figure B translation and dilation is used. The correct option is B.

To know more about dilation follow

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What is this math question? Yesterday Nathan rode his bike 39 kilometers in 3 hours. Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.

Answers

Answer:

Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday

Step-by-step explanation:

Yesterday Nathan rode his bike 39 kilometers in 3 hours.

Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.

Speed /rate =>Distance(km)/ Time(hr)

For yesterday

Speed = 39km/3 hour

Speed = 13 km/hr

For Today

Convert time in minutes to hour

60 minutes = 1 hour

30 minutes = x hour

= 30/60

= 0.5 hour

Speed=> 8km/ 0.5 hour

=16 km/hr

Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday

how YOU LIKE ME NOW !

Answers

Answer:

im confusedddddddd.................

A submarine was at 30 feet below sea level. It sinks down 8 more feet. How many feet below sea level is the submarine?

Answers

Answer:

38 is the answer

I'm adding this extra part because I need it to be 20 letters long

Using addition, the submarine is 38 feet below sea level.

What is addition?

The addition is "taking two or more numbers and adding them together, or it is the total sum of two or more numbers".

According to the question,

A submarine was at 30 feet below sea level. The submarine sinks 8 more feet. In order to find, number of feet below sea level the submarine only if we add 30 feet and 8 feet.

= 30 + 8 = 38 feet.

Hence, using addition the submarine is 38 feet below sea level.

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For 4-6, determine whether the three numbers could be the lengths of the sides of a
triangle.
4. 4, 8, 11
5. 6, 12,5
6. 13, 13, 26

Answers

Answer:

4. 4, 8, 11 could be the lengths of the sides of a  triangle

5. 6, 12, 5 could not be the lengths of the sides of a  triangle

6. 13, 13, 26 could not be the lengths of the sides of a  triangle

Step-by-step explanation:

There is an important rule about the sides of the triangle

The sum of lengths of the smallest two sides of a triangle must be greater than the length of the third side

Let us use this rule to solve questions 4, 5, and 6

#4.

∵ The numbers are 4, 8, 11

∵ The two smallest numbers are 4, 8

Their sum = 4 + 8 = 12

∵ The greatest number is 11

∵ 12 > 11

The sum of the two smallest number is greater than the third number

∴ The numbers could be the length of the sides of a triangle

4, 8, 11 could be the lengths of the sides of a  triangle

#5.

∵ The numbers are 6, 12, 5

∵ The two smallest numbers are 5, 6

Their sum = 5 + 6 = 11

∵ The greatest number is 12

∵ 11 < 12

The sum of the two smallest number is smaller than the third number

∴ The numbers could not be the length of the sides of a triangle

6, 12, 5 could not be the lengths of the sides of a  triangle

#6.

∵ The numbers are 13, 13, 26

∵ The two smallest numbers are 13, 13

Their sum = 13 + 13 = 26

∵ The greatest number is 26

∵ 26 = 26

The sum of the two smallest number is equal to the third number

∴ The numbers could not be the length of the sides of a triangle

13, 13, 26 could not be the lengths of the sides of a  triangle

what is the answer for -4 (12)=
what is the answer

Answers

Answer:

-48

Step-by-step explanation:

12 x 4= 48 just add negative sign to 48.

Hope this helps :3

Answer:

-4(12) = -48

Step-by-step explanation:

Negative stay negative and 4 multiply by 12 is 48 from the multiplication table, therefore -4 multiply by 12 is -48.

A baker uses chocolate with 75% cocoa for his famous cake. But his supplier delivered 100 lb of chocolate with 70% cocoa, so the baker needs to melt and mix the delivery with chocolate that has 90% cocoa. How much of the 90% chocolate should he use?

Answers

33 1/3 BTW i am from RSM too :)

33.33 lb of 90% cocoa cholcolate should be mixed.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: A baker has to mix 70% cocoa with 90% cocoa and he has 100 lb of the first chocolate.

let x lb of chocolate be mixed with 100 lb to give the 75 % chocolate variety

Thus, x×90%+100×70% / 90%+70% = 75%

         0.9x+70 /x+100=0.75

         0.9x+70=0.75x+75

           0.15x=5

                 x=33.33

Thus 33.33 lbs of 90% cocoa should be mixed to get 75% cocoa

Hence, 33.33 lb of 90% cocoa cholcolate should be mixed.

Learn more about percentages here:

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What is the solution to
6(2 - x)<-4x + 2?

Answers

Answer:

Solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]

Step-by-step explanation:

We need to find solution of [tex]6(2 - x)<-4x + 2[/tex]

Solving the inequality:

[tex]6(2 - x)<-4x + 2[/tex]

Multiply 6 with terms inside the bracket

[tex]12-6x<-4x+2[/tex]

Subtracting 12 on both sides

[tex]12-6x-12<-4x+2-12\\-6x<-4x-10[/tex]

Adding 4x on both sides

[tex]-6x+4x<-4x-10+4x\\-2x<-10[/tex]

Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >

[tex]\frac{-2x}{-2}>\frac{-10}{-2}\\\mathbf{x>5}[/tex]

So, after solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]

Five boxs of crackers cost $9 st this rate how much do 20 boxes cost

Answers

$900

..why do I need 20 letters-

Answer:

20 boxes of crackers would cost 36 dollars

Step-by-step explanation:

Since 5 boxes is 9 dollars

And there are 20 boxes

You divide 20 boxes by 5 and you should get 4

Then with the 4 you multiply that with $9

36 dollars

Hope this helped you!

Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector.

v = (21, 20)

Answers

Answer:

a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' =  (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j  

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

Say you have a triangular piece of paper. If you rip off the corners of this triangle and put them together, what shape does it make?

Answers

Answer:triangle Explanation:the three corners all make triangles individually and if you put them to together they will create a larger triangle

all you need is in the photo ​

Answers

Answer:

One solution,0,-2

Step-by-step explanation:

The point where they intersect is 0,2. That is the answer.

Hope this helps plz mark brainliest if correct :D

Answer:

It's one solution, (0, -2)

Step-by-step explanation:

Look at where the lines intersect at the point. Its negative 2y or 0x. Hope this helps! have a great day

A refrigerator costs $599. If the tax is 7.5%, the additional amount of money necessary to purchase the refrigerator is
$4.52
$44.93
$75.00

Answers

Answer:

44.93

Step-by-step explanation:

7.5 x 599 divided by 100 = 44.925 = 44.93

16-2t=3/2t+9
Solve for t

Answers

Answer:

t=2

Step-by-step explanation:

16-2t=3/2t+9

you multiply everything with 2

32-4t = 3t+18

4t-3t=18-32

-7t=-14

t=2

Step 1: Minus the 16 from the 9

Step2: Multiply the 2t wirh the -2t.

Step 3: Divide -4 by -4

Jane is cooking in her recipe indicates that she should add several spices she needs to add 1/2 of a teaspoon of salt, 1 1/4 teaspoons of Orégano 3/4 of a teaspoon of basil in half as much pepper as salt. What is the total number of teaspoons of spices in the dish express the answer as a decimal

Answers

Answer: total number of teaspoons of spices in the dish =3.25 teaspoons

Step-by-step explanation:

Step 1

Listing the spices and their quantities , we have

Salt = 1/2 teaspoon

Orégano =1 1/4 teaspoon =5/4 teaspoons

Basil = 3/4 teaspoon

Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be  50% more in quantity  than salt

Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25

0.25 +  1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.

Step 2

Adding the amount of spices we have

1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices  = 3.25 teaspoons of spices .

I put a picture hopefully you can see it​

Answers

Answer:

i think it might be the first or third one

Step-by-step explanation:

A student solved the problem below by first dividing 20 by 10. What mistake did the student make?

A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?

Answers

The baseball team won two thirds of the games or 66%

Answer:

The student should have added 20 + 10 = 30 and then divide 30 by 3 to get 10 = 1/3 of 30 so the team won 2/3 or 66.6667%.

Step-by-step explanation:

Here is a list of numbers:
2.5, 2.8, 8.4, 1.1, 7.7, 6.3, 2.4 ,0.7 ,0.8 ,0.5
State the median.

Answers

2.4

The median is the middle number.

1. Put the numbers in order from smalllest to greatest

2. Pick the middle number

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