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

What is the Scale factor of 35 to 42

Answers

QUESTION. What is the Scale factor of 35 to 42

--------------------------------------

[tex]\boxed {\tt 25/35}[/tex]

---------------------------------------

The Scale Factor of 35/42 is the relative difference of one fraction or number (a) to another fraction or number prime (a′). In other words, 35/42 is what you multiply (number a) by to get (number a prime).

In a multiplication problem, we have a multiplier, multiplicand, and a product. You could say that (a) is the multiplier, the Scale Factor of 35/42 is the multiplicand, and (a′) is the product:

multiplier × multiplicand = product

multiplier × scale factor = product

a × 35/42 = a′

In the calculator below, you can enter the multiplier (a) as a fraction. We will then multiply it by the Scale Factor of 35/42 and give you the product (a′) in its simplest form possible.

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

Please take a look at the picture

Answers

Answer:

B) -3/10 x -6

Step-by-step explanation:

-3/10 x -6=-3 x -6/10

When multiplying two negatives you get a positive.

Hope this helps :)

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=23(0.292)^x

what is the % increase

Answers

Answer:

Decay

since 0.292 is less than 1

% rate of decrease

1 - 0.292 = 0.708

70.8%

Carrie loves carrots so much that she ate 30 of them for lunch. Her sister doesn’t like carrots as much and only ate 5 of them for lunch. The number of carrots Carrie ate is how many times greater than the number that her sister ate?

Answers

If carrie ate 30 and her sister at 5. To find how many times greater than the number her sister ate we just need to divide the two numbers. 30/5=6.

Which means she at 6 times the amount of carrots than her sister.

help me due today it is mathematics

Answers

Answer:

Miranda is correct because the value 7 makes the equation equal

I am not sure what goes in the blanks, those are my best guesses.

Step-by-step explanation:

34 = 27 + p

7 = p

Hopefully this helps!

Brainliest please?

If you roll a die twice , what is the probability that sum of the two die 8 will appear

Answers

Answer:

5/36

Step-by-step explanation:

Answer:

the probability of getting a total greater than 8 is  10/36=5/18

Step-by-step explanation:

Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.

Therefore, the probability of getting a total greater than 8 is  10/36 which equals 5/18

solve 2/3 - 6y = - 1 5/6

Answers

Answer:

y = 19/36

Step-by-step explanation:

Assuming that what you want is the value of y, you can pass all the right side stuff to the left, and the y to the right:

2/3 + 15/6 = 6y

Then you can sum the fractions on the left by using the same denominators:

4/6 + 15/6 = 6y       ==>      19/6 = 6 * y

then  you can pass the 6 that is multiplying on the right to the left - now dividing:

y = 19/36

Answer:

  y = 5/12

Step-by-step explanation:

  2/3 - 6y = -1 5/6 . . . . . given

  4 -36y = -11 . . . . . . . . . multiply by 6

  15 = 36y . . . . . . . . . . add 36y+11

  15/36 = y = 5/12 . . . . divide by 36, reduce the fraction

_____

Check

  2/3 -6(5/12) = -1 5/6

  4/6 -15/6 = -11/6 . . . . true

9.4 x 8.2 using regrouping

Answers

Answer:

77.08

Step-by-step explanation: basic math

Answer:

77.08

Step-by-step explanation:

hope it helps

A college employs 15 stewards. What is the average monthly wage of the stewards if the college pays 226.20 in wages each month?​

Answers

Answer:

$15.08

Step-by-step explanation:

As the value 226.20 is the total of all wages, you can work out the mean.

Mean averages are usually worked out as the total / number of values.

Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.

Pls i need an answer now ​

Answers

Answer:

Step-by-step explanation:

1. 5, 3.5, [tex]\sqrt{9\\}[/tex], [tex]-\frac{12}{5}[/tex], -7

2. 10, π ,3.1415, 0, -10

3. 1[tex]\frac{1}{2}[/tex], 1.44, 1.4(3), 1.(43), [tex]\frac{7}{5}[/tex]

What is the best estimate of 687 × 391?

280,000
210,000
240,000
180,000

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Original equation/problem:}[/tex]

[tex]\mathbf{687\times391}[/tex]

[tex]\mathbf{= 391\times687}[/tex]

[tex]\mathbf{= 268,617}[/tex]

[tex]\huge\textbf{Now, we're going to solve for your}\\\huge\textbf{question:}[/tex]

[tex]\huge\text{Assuming you want us to estimate to the}\\\huge\text{nearest hundred. So we will do so, because}\\\huge\text{it is easier to understand it like that.}[/tex]

[tex]\mathbf{687 \rightarrow 700}\\\mathbf{391\rightarrow 400}[/tex]

[tex]\huge\textbf{New equation:}[/tex]

[tex]\mathbf{700 \times 400}[/tex]

[tex]\mathbf{= 400\times700}[/tex]

[tex]\mathbf{= 280,000}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A.\ 280,000}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A truck has a bed 6 ft long, 5 ft wide, and
3 ft deep. If it was filled /4 of the way with
dirt. What is the volume of dirt in the bed
of the truck?

Answers

Answer:

6*5=30

30*3=90

so if its filled 1/4 forth full

90*1/4=22.5

So the volume of the dirt is 22.5^2 feet of dirt

Hope This Helps!!!

Solve the right triangle. a = 2.2 m, B = 37.7°, C = 90° 4) A) A = 52.3°, b = 0.6 m, c = 2.3 m B) A = 52.3°, b = 1.7 m, c = 2.8 m C) A = 52.3°, b = 3.2 m, c = 3.9 m D) A = 52.3°, b = 3.2 m, c = 2.8 m

Answers

Answer:

B) A = 52.3°, b = 1.7 m, c = 2.8 m

Step-by-step explanation:

We know that it is a right angle triangle because C = 90°

because of that we can do 180 - 90 + 37.7

which is a=52.3

Because it is a right angle triangle, we can use sin, cos,tan

I will use sin to find the side of c

2.2 is a

sin 52.3 = 2.2/x

x= 2.2/ sin 52.3

x=2.78

You could do cos or tan but the pythagorean theorem for me is much faster

so it looks like this, a^2+b^2 =c^2

in this case we have both a and c we want b

so we rearrange

c^2-a^2=b^2

2.78^2-2.2^2= b^2

[tex]\sqrt{2.89}[/tex]=b

1.7=b

therefore it would be this option B) A = 52.3°, b = 1.7 m, c = 2.8 m

the sum of x and 4y is 9

Answers

Answer:

y= -1/4x +9/4

Step-by-step explanation:

I don't know which form you wanted, so heres the slope form

select the two values of x that are roots of this equation 3x^2 + 1 = 5x

Answers

Answer:

[tex]x = \frac{5 + \sqrt{13} }{6} [/tex]

Step-by-step explanation:

[tex]3x { }^{2} + 1 = 5x[/tex]

[tex]3 {x}^{2} - 5x + 1 = 0[/tex]

Apply the quadratic formula with a=3, b=-5 and c=1

Flying Home A bird flies from the bottom of a canyon that is 844 9/10 feet below sea level to a nest that is 55 4/5 feet above sea level. What is the difference in elevation between the bottom of the canyon and the​ bird's nest? The difference between the elevation of the canyon and the​ bird's nest is enter your response here feet. ​(Simplify your answer. Type an​ integer, proper​ fraction, or mixed​ number.)

Answers

Answer:

900 7/10

Step-by-step explanation:

you add the numbers to gether

Help help help help please please e

Answers

The answer, when rounded to the nearest tenth is 19.2

First you can get rid of the decimals by multiplying both numbers by 100, this just makes the whole problem easier. Now all that needs to be done is long division:

(In my work I didn’t realize that it said round to the nearest tenth until I had already gotten past what I needed to find)

What is the value of y in the following system of equation3x-4y=-20 -x+2y=10

Answers

It’s either 15, -15 or -7.5

3x-4y==20-x+2y=10

2x-2y=-20=10

2x-2y=30

30/2x= 15

15/-2y= -7.5

If you divided 30 by 2y it would be -15 but go with the answer that is one of the answer choices.

a lamp post cast a Shadow 15 feet long while a 6 foot man standing nearby cast a shadow 5 ft long. what proportion can be used to determine the hight of the lamp post

Answers

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18

How do you know if a relationship between two quantities is not proportional

Answers

Answer:

Step-by-step explanation:

Recall that a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. ... When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.

Help help math help help help math

Answers

Step-by-step explanation:

We know that angles on a straight line add up to 180, so:

5x+5+5x+5=180

Simplify

10x+10=180

Solve

Take away 10 from both sides

10x=170

Divide 170 by 10

x = 17

If i have a lawn mower for 3 $ and its 50 percent of what is the orginial price ?

Answers

Answer:

$6

Step-by-step explanation:

Last Friday, Erica earned $51 babysitting for 6 hours. At this rate, how many hours would Erica need to babysit in order to earn $272?​

Answers

Answer: 32 hours

Step-by-step explanation: 51/6 = 8.5

So, Erica makes 8.5 dollars per hour. 272/8.5 = 32. Thus, Erica will need 32 hours.

Brainliest?

An airline finds that if it prices a cross-country ticket at $300, it will sell 400 tickets per day. It estimates that each $10 price reduction will result in 50 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.

Answers

Answer:

price = $190

quantity =  950 tickets

Step-by-step explanation:

revenue = price * quantity

n = number of $10 price reductions

price = 300 - 10n

quantity =  400 + 50n

r = (300 - 10n)(400 + 50n)

recognize these as the factors of a quadratic that opens down

the vertex will therefor be the maximum revenue

the roots are:

300 - 10n = 0

300 = 10n

n = 30

400 + 50n = 0

50n = -400

n = -8

vertex is at mid point of the roots

n = (-8 + 30)/2

n = 11

price = 300 - 10n

price = 300 - 10(11)

price = 190

quantity =  400 + 50n

quantity =  400 + 50(11)

quantity =  950

IMG World of Adventures sold 350 children's tickets last month . If this made up 12.5% of its yearly children's ticket sales, how many children's tickets did IMG World of Adventures sell all year? (WRITE ONLY THE NUMBER)

Answers

I'm sorry if I'm wrong

Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?

Answers

(7x+12)(8x+3)
56x^2+21x+96x+36
56x^2+117x+36

Please help. NEED THE ANSWER SOON AS POSSIBLE.

Answers

Answer:

y=4x-17

Step-by-step explanation: Distribute the 4(x-5)

4x-20

Then add three to both sides

y=4x-17

The first factor has a degree of
2
.
The second factor has a degree of
3
.
The third factor has a degree of
.
The product has a degree of
.

Answers

Answer:

first = 2,second= 3

Step-by-step explanation:

F*s= 2*3

= 6

Please help and only answer if correct!

Answers

Answer: So last time it was 1/4 and 4 so it's no different it just going down by one so it's 1/3 and 3 if it's not I give up.

Step-by-step explanation:

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