1. (5 points) Suppose over the past 6 years, you have earn annual raises.
6
Three times your raise was 4%, twice you received only a 2% raise and one
you received a 10% raise. If your current salary is $85,000, what was your
salary before all of those raises?

Answers

Answer 1

9514 1404 393

Answer:

  $66,027.66

Step-by-step explanation:

The multiplier for the salary with each raise is (1 + raise). That means the original salary is multiplied by ...

  (1.04^3)×(1.02^2)×(1.10) = 1.28733935616 = k

Your original salary (O) satisfies ...

  O×k = $85,000

  O = $85,000/k ≈ $66,027.66 . . . original salary


Related Questions

The image of (-6,6) after a dilation by a scale factor of 5 centered at the
а

Answers

Answer is (24,-24)

Explanation:
Dilation centered at the origin multiplies each coordinate by the dilation factor.
image= 4(6,-6)
image= (24,-24)

quick mafs ill mark brainliest​

Answers

Answer:

LJ< JK<LK

Step-by-step explanation:

for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)

Why is this so hard?

Answers

Answer:

Nothing is hard if you put your mind to it.

Step-by-step explanation:

A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below.
Completed Homework Did not Complete Homework Total
Passed the Course 25 7 32
Did not Pass the Course 5 18 23
Total 30 25 55
A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places.
What is the probability a student passed the course given that they completed their homework?

%
What is the probability a student passed the course given that they didn't complete their homework?

28
Correct%
What is the probability a student completed their homework given that they passed the course?

%
What is the probability a student didn't complete their homework given that they didn't pass the course?

%

Answers

Probabilities are used to determine the chances of an event.

Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment

(a) The probability a student passed the course given that they completed their homework?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(C) = 30}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{30}}[/tex]

[tex]\mathbf{Pr = 0.8333}[/tex]

Express as percentage

[tex]\mathbf{Pr = 83.33\%}[/tex]

Hence, the probability a student passed the course given that they completed their homework is 83.33%

(b) The probability a student passed the course given that they didn't complete their homework

From the table, we have:

[tex]\mathbf{n(P\ n\ C'= 7}[/tex]

[tex]\mathbf{n(C') = 25}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7}{25}}[/tex]

[tex]\mathbf{Pr = 0.28}[/tex]

Express as percentage

[tex]\mathbf{Pr = 28\%}[/tex]

Hence, the probability a student passed the course given that they didn't complete their homework is 28%

(c) The probability a student completed their homework given that passed the course?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(P) = 32}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{32}}[/tex]

[tex]\mathbf{Pr = 0.78125}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.125\%}[/tex]

Approximate

[tex]\mathbf{Pr = 78.13\%}[/tex]

Hence, the probability a student completed their homework given that they passed the course is 78.13%

(d) The probability a student didn't complete their homework given that they didn't pass the course

From the table, we have:

[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]

[tex]\mathbf{n(P) = 23}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{18}{23}}[/tex]

[tex]\mathbf{Pr = 0.7826}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.26\%}[/tex]

Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%

Read more about probabilities at:

https://brainly.com/question/11234923

–5(–2) = help me please ill give brainlist

Answers

Answer:

The answer is 10!

Step-by-step explanation:

Graph the line with slope 7 and y-intercept -7

Answers

Given :-

To graph the line with slope 7 and y intercept -7.

To Find :-

The graph of the line .

Solution :-

Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,

[tex]\longrightarrow[/tex] y = mx + c

On putting the respective values ,

[tex]\longrightarrow[/tex] y = 7(x) + (-7)

[tex]\longrightarrow[/tex] y = 7x - 7

For the graph see attachment .

i need some help here plzzzzzzzzzz
NO LINKS!!!!!!

Answers

Answer:

I'm pretty sure it's A,B, and D.

Step-by-step explanation:

Please helpppp I will mark you branliest pleaseee

Answers

Answer:

no

Step-by-step explanation:

the ratios shown in this table are not proportionate. You will also never get (0,0) in this table.

(2a+3) by (a+2) binomial multiplication ​

Answers

Answer:

refer to the attachment

hope it helps.......

Answer:

2a² + 7a + 6

Step-by-step explanation:

(2a+3) (a+2) = 2a(a) + 2a(2) + 3(a) + 3(2) = 2a² + 4a + 3a + 6 = 2a² + 7a + 6

If an item is $6.49 for 36 ounces, then it is $

Answers

Answer:

0.18

Step-by-step explanation:

0.18


Do it step by step

How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?

Answers

Answer:

To get least possible number of cubes, first find the HCF of 6, 12 and 15

HCF of 6, 12 and 15 = 3

Least possible number of cubes = (6/3)×(12/3)×(15/3)

=2 × 4 ×5

= 40

If f(x) = 4x + 3x2 + 1, then what is the remainder when f(x)
is divided by X -2?

Answers

Answer:

remainder = 21

Step-by-step explanation:

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x - 2) with h = 2 , then remainder is

f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21

Can someone put an answer for each box plzzzz.

Answers

we need the drop down options..

Tony bought a skateboard online. It cost $96 plus 20% shipping and handling. What was the total cost?​

Answers

The answers would be 480

Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has

been offered a private loan for 10 years with an APR of 7.8%.

a. Determine her monthly payment.

b. What is the total amount she will pay back?

c. What is the total interest amount?

Answers

Using simple interest, and considering a loan of $5,000, it is found that:

a) Her monthly payment is of $74.17.

b) She will pay back $8,900.

c) The total interest amount is of $3,900.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount. r is the interest rate, as a decimal.

In this problem:

The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]

Item b:

[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]

She will pay back $8,900.

Item a:

$8,900 will be paid in 10 x 12 = 120 months, hence:

[tex]M = \frac{8900}{120} = 74.17[/tex]

Her monthly payment is of $74.17.

Item c:

Loan of $5,000, pays back $8,900, hence:

8900 - 5000 = 3,900

The total interest amount is of $3,900.

A similar problem is given at https://brainly.com/question/13176347

work out angel x

Please could u help me with this
ASAP thanks you ​

Answers

Angle ————————————————

Add or subtract. write fractions in simplest form.
-5/3 + 2 1/3

how do i do this problem? i will mark you brainliest. please help!

Answers

Answer:

2/3

Step-by-step explanation:

-5/3 + 2 1/3 =

= 2 1/3 - 5/3

= 2 1/3 - 1 2/3

= 1 4/3 - 1 2/3

= 2/3

Answer:

2/3

Step-by-step explanation:

First, change 2 1/3 into an improper fraction.

2 1/3 --> 7/3

Substitute that value back into the equation

-5/3 + 7/3

At this point, you can rewrite the equation into:

7/3 - 5/3

Since they have the same denominator, just subtract the numerator's values.

2/3

How do you know whether two quantities x and y are proportional?

Answers

Answer:

I did this question for my little brother. and the answer is A. I think.

debbie used 40% of her flour for
cookies she started with 24 cups how many cups did debbie use?

Answers

Answer:

24 x 40% = 9.6

Step-by-step explanation:

the answer is Lil Debbie™ 9.6 cup used.

(NO LINKS AND DON'T COMMENT IF YOU DON'T KNOW)Compare the ratios using the models. Which statements are true? Check all that apply. 7 to 16 The model for the ratio 7 to 16 should show 7 cells shaded. The model for the ratio 6:8 should show 8 cells shaded. The ratio 7 to 16 is greater than 6:8. The ratio 6:8 is greater than the ratio 7 to 16. 6.8​

Answers

Answer:

Step-by-step explanation:

Hi sorry if I’m bugging just trying to help out by getting Them B bye

what are the mean variacne and standard deviatioon of the values? round to the nerates tenth. 11,11,3,1,11

Answers

Answer:

Mean = 8

Variance = 22

Standard deviation = 4.6904

Step-by-step explanation:

To find out Mean the formula is : total sum of data set / number of values

(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8

Mean = 8

Now for variance we will form a table

x                  11     11     3      1      11      11

(x - Mean)    3     3    -5     -7      3      3  

(x - Mean)²   9     9    25    49    9      9

Now we the formula of variance =

Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22

Variance = 22

Now we know Standard deviation = √(variance)

Therefore standard deviation = √22 = 4.6904

Hope this helps!<3

Answer: Mean = 8

Step-by-step explanation:

The property taxes on a business office were $2340. What was the tax rate if the business office was valued at $260,000? Follow the problem-solving process and
round
your answer to the nearest hundredth of a percent, if necessary.

Answers

Answer:

It is 2447/150,000

=0.0163=1.63%

Step-by-step explanation:

solve for x
2/x -2 = 3/2x +3​

Answers

Step-by-step explanation:

simplify _4x+2y+z_3x+2y_2z ​

Answers

Answer:

maybe 3xz + 4yz + 4x + 2y

Step-by-step explanation:

I tried my best!

thanks i'll mark brainliest ​

Answers

Answer:

1.

Step-by-step explanation:

Calculate the perimeter of a square with a side length of 3ft

Answers

The perimeter of a square is the length of one side multiplied by 4 ( the number of sides)

3 ft x 4 sides = 12 ft.

Perimeter = 12 ft.

Please use image above ^^​

Answers

Answer:

D or answer choice 4

Step-by-step explanation:

A punch recipe requires 2 cups of cranberry juice to make 4 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 12 gallon of punch

Answers

Answer:

we need 6 cups of cranberry juice for 12 gallons of punch

A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of the norman window to allow in as much light as possible, if there are only 12 ft of the frame material.

Answers

Answer:

the answer is 12 feet

Step-by-step explanation:

if f(x) = 7(x-1) + 8 , what is rhe value of f(11) ?​

Answers

Answer:

f(11)=78

Step-by-step explanation:

f(11)=7(11-1)+8

f(11)=77-7+8

f(11)=78

Answer:

F(11) = 78

Step-by-step explanation:

f(11) means that you would just have to replace “x” on the equation with 11 and then solve;

=> f(11) = 7(11 - 1) + 8

=> f(11) = 7(10) + 8

=> f(11) = 70 + 8

=> f(11) = 78

therefore the answe is 78

Hope this helps!

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