Sandra saves 7% of her salary for retirement. This year her salary was $2,000 more than her salary than in the previous year, and she saved $3,290. What was her salary in the previous year?
complete the equation 0.07( x+____) = 3,290
Sandras salary in the previous year was _____

Answers

Answer 1

9514 1404 393

Answer:

2,000$45,000

Step-by-step explanation:

Where x represents the previous year's salary, its amount this year is said to be ...

  x + 2000

The equation is trying to reflect the fact that 7% of that is $3,290. The missing number is 2000:

  0.07(x +2000) = 3290

__

Solving for x, we find ...

  x = (3290/0.07) -2000 = 45000

Sandra's salary the previous year was $45,000.


Related Questions

Which of the following best describes the equation below?
y = 8x + 9
A.
both linear and nonlinear
B.
neither linear nor nonlinear
O
C.
linear
D.
nonlinear

Answers

Answer:

C

Step-by-step explanation:

What is clustering?

A. a data point that does not fit the general pattern in the data
B. a group of data points around a value
C. a relationship between two variables
D. a graph showing the relationship between two sets of data

Answers

D. Clustering is a short term saying data points/value!!

Answer:

B. a group of data points around a value

Step-by-step explanation:

A cluster in math is when data is clustered or assembled around one particular value.


What is the measure of arc FG?
PLEASE HELP , i’ll make BRAINLIEST

Answers

The measure of arc FG could be 108
The correct answer is 103 degrees (180-77) Since there is a line exactly in the half of the circle and we know that one portion is 77° so the remaining portion must be the difference of a half circle which is 180° minus the 77°.

Find the solution of y = 4x + 2 for x = -5.


A.
(-5, -18)


B.
(-5, 22)


C.
(-18, -5)

Answers

Answer: THE ANSWER WOULD BE A. (-5, -18)

Notice how y=4x%2B2 is in slope-intercept form y=mx%2Bb where m is the slope and b is the y-intercept.

So this shows us that the slope is m=4 and the y-intercept is b=2 which is the point (0,2)

You can always plot an equation like this to find intercepts

and slope. Each point requires an x and a y. My

way is to make x+=+0 and find y,

then I make y+=+0 and find x

y+=+4x+%2B+2

y+=+4%2A0+%2B+2 solve for y

y+=+2

the point is (0,2)

then,

0+=+4x+%2B+2 solve for x

subtract 2 from both sides

4x+=+-2

x+=+-%281%2F2%29

the point is (-%281%2F2%29,0)  

Once you have any two points, you can draw the line by connecting them

When the equation is in the form

y+=+mx+%2B+b

m = slope

b = y-intercept

So, your equation y+=+4x+%2B+2

m+=+4 (slope)

b+=+2 (y-intercept)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  (

5

,

18

)

Equation Form:  x

=

5

,

y

=

18

Please help!!
Given f(x) = 3x-4 and g(x) = 2x+6 , find (fog)(x)

Answers

Answer:

[tex](f\circ g)(x)=6x+14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]

And we want to find:

[tex](f\circ g)(x)[/tex]

This is equivalent to:

[tex]=f(g(x))[/tex]

Then by substitution:

[tex]=f(2x+6)=3(2x+6)-4[/tex]

Evaluate:

[tex]=f(g(x))=6x+18-4=6x+14[/tex]

Therefore:

[tex](f\circ g)(x)=6x+14[/tex]

Find the value of each trigonometric ratio. Write your answer as a fraction in simplest form. (Example: If the answer is one-half, type 1/2.)

Answers

The value of each Trigonometric ratio in a right angle triangle given are;  sin X = 4/5 and cos C = 40/41

How to express Trigonometric Ratios?

From the attached image, we can see the triangles to find the trigonometric ratios.

Now, the formula for sin and cos in a right angle triangle is;

sin = opposite/hypotenuse

cos = adjacent/hypotenuse.

Thus;

1) sin X = 32/40 = 4/5

2) cos C = 40/41

Read more about Trigonometric Ratios at; https://brainly.com/question/13276558

#SPJ1

Evaluate 4n when n =13

Evaluate a/b when a = 27 and b=3

Evaluate 3x - 14 when x=6

Evaluate z2 + 8.5 when z =2

Evaluate x(36-y) when x =4 and y = 8

PLEASE HELP!!!

Answers

Answer:

1) 52

2) 9

3) 4

4) 12.5

5) 112

Step-by-step explanation:

So for each of them, we just need to substitute and solve.

4n = 4 * 13 = 52

a/b = 27/3 = 9

3x - 14 = 3*6 - 14 = 18 - 14 = 4

z2 + 8.5 = 2*2 + 8.5 = 4 + 8.5 = 12.5

x(36 - y) = 4(36 - 8) = 4(28) = 112

I hope this helped and please mark brainliest!

Un cable de 42 pies se corta en 3 tramos. Si cada tramo tiene 2 pies de longitud más que el anterior; calcular la longitud del tramo mayor.

Answers

Answer:

dividimos los 42 dejando 12 para cada 1 sobran 6 pies para el primero le aumentamos 4 al segundo 2 y el ultimo se quedaria asi y asi tendria 2 pies de longitud mas que el anterios y el mas largo tendria 16 pies el mediano 14 y el mas pequeño 12

ASAP! What is the surface area of the solid?


14 square inches

20 square inches

24 square inches

32 square inches

Answers

Answer:

I think is is 14 square inches.

Step-by-step explanation:

2 plus 2 plus 5 plus 5 = 14

I don't know if this is right.

not times because 2 time 2 times 5 times 5 equals 100. there is no 100 . divide is not working and subtract is not working so add. I hoke this is correct and helps.

Which expression is equivalent to 3 (x – 9) + 6?
A. 3x - 3
B. 3x - 21
C. 15 - 3x
D. 33 - 3x

Answers

It’s B, the answer is 3x-21

The formula for the volume of a cylinder is V=

Answers

Answer:

V = pi x radius x 2 x height OR pi x diameter x height

Hope that helps!

Answer:

the formula for the volume of a cylinder is V=πr²h

Describe the graph of x > 2 and x < 5. ( i think its a number line for compund inequalitites)

Answers

It would have hollow circles on 2 and 5 and you would connect them

The figure is one-fourth of a circle.

What is the perimeter of the figure?

Use 3.14 for π.

One fourth of a circle with a radius of 11 cm.

GIVING BRAINLIEST IF YOU SOLVE IT (:

Answers

Answer:

around 39.27

Step-by-step explanation:

2*11*3.14=69.08/4=17.27+22=39.27

The sale price of a model railroad set is $174. If it was marked down to 25% off of the original price, what was the original price?​

Answers

Answer:

$217.50

Step-by-step explanation:

I) Make an equation to find the answer:

o = s + 0.25s (original price = sale price + 25% of sale price)

II) Solve:

o = 174 + 0.25(174)

o = 217.50

If the price was 174 after the mark down of 25%, then adding 25% back will give you the answer.

174 + 25% (which is 43.5) = $217.5

Hope this helps!

Kaylie bought 3 bags of milk for $14. Each bag had 4 litres of milk. What was the cost of milk per gallon?

Steps:
Answer:

Answers

Answer:

about 3 gallons

Step-by-step explanation:

Sofia is making a batch of slime using a recipe that includes glue, water, and salt solution. She uses 7.5 fl. oz of glue. The amount of glue is 12.5 times the amount of salt solution. There are 4.2 less fluid oz of salt solution in the water. How many fluid ounces of water does Sofia use to make a batch of slime?

Answers

Answer:

its 4.8

Step-by-step explanation:

i divided 7.5 by 12.5 and got 0.6 and added 4.2 and got 4.8

Equation is formed of two expressions. The amount of water that is used by Sofia to make the slime is 4.8 fl oz.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount of salt solution used by Sofia be x, and the amount of water used by Sofia be y.

As it is given that the amount of glue used is 12.5 times the amount of salt solution used, and the amount of glue used is 7.5 fl oz. Therefore, the equation can be written as,

Amount of glue = 12.5 x Amount of salt solution

[tex]7.5 = 12.5 \times x\\\\x = \dfrac{7.5}{12.5}\\\\x = 0.6[/tex]

Also, it is given that the amount of water used is 4.2 fl oz. less than the amount of salt solution used, since we know the amount of salt solution used, therefore, the equation can be written as,

Amount of salt solution = Amount of water - 4.2 oz

[tex]x = y -4.2\\\\(0.6)=y-4.2\\\\y = 4.8[/tex]

Hence, the amount of water that is used by Sofia to make the slime is 4.8 fl oz.

Learn more about Equation:

https://brainly.com/question/2263981

I need this please help me

Answers

i don't know I just need points sorry

how do you simplify 1 1/8 x 3 2/3 someone please help me!

Answers

Answer:

4 1/8

Step-by-step explanation:

1 1/8 x 3 2/3 = ?

9/8 x 11/3 = 99/24

99/24 = 4 1/8

Answer:

1. find the least common denominator for the left-hand side fraction. This brings you to 8/8x + 3x/8x = 1/2

2. Add the numerator on the left-hand side of this equation, (8+3x)/8x = 1/2

3. Multiply both sides by 2, that will lead you to (8+3x)/4x =1/1

4. Multiply both sides by 4x, we get 8+3x=4x

5. Finally, subtracting 3x from both sides simplifies the equation to x=8. Note that this is as simple as this expression can get so you can not go any further, therefore 1/x+3/8=1/2 simplifies to x=8.

Step-by-step explanation:

HELP.................................................................

Answers

Answer:

A. [tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

A. [tex]\frac{1}{6^{2} } = \frac{1}{36} = 0.02777[/tex]

B. [tex]6^{-3} = 0.004629[/tex]

C. [tex]\frac{1}{216} = 0.004629[/tex]

D. [tex]\frac{1}{6^{3} } = \frac{1}{216} = 0.004629[/tex]

Answer:

I think it is A because B or D is not it so I was left with A and C. So I am pretty sure that is A.

ANSWER QUICKKK
HELP !!!!! i

Answers

Answer:

its B

Step-by-step explanation:

PLEASE HELP!!!!
If angles P and Q are complementary, which statement about the two angles is true?

P and Q are opposite facing.

P and Q add up to 90°.

P and Q are always adjacent.

P and Q sum to 180°.

Answers

P and Q add up to 90 degrees

Answer:

P and Q add up to 90°.

Step-by-step explanation:

An ice cream company fills containers with 64 ounces of ice cream. The acceptable percentage of error in filling each
ice cream container is 1.5%.
Select all the expressions that could be used to find the greatest number of ounces of ice cream each container can
hold.
64(1.15)
64(1.015)
64(1.5)+64
64-64(1.5)
64(0.015)-64
64+64(0.015)

Answers

Answer:

64(1.015)64+64(0.015)

Step-by-step explanation:

The target number is 64 and the error is 1.5%

Possible number is

64 ± 1.5% of 64 = 64 ± 0.015*64

The top limit is:

64 + 64(0.015) or64*(1.015)

Correct choices are B and F

64(1.015)

and

64+64(0.015)

The naturalist found 9 bright blue poisonous frogs in South America. Each frog weighed 3 grams. In all, how much did the 9 frogs weigh? A) 39 grams in all B) 27 grams in all C) 12 grams in all D) 36 grams in all

Answers

Answer: B) 27 grams in all

Step-by-step explanation:

Given: The weight of each bright blue poisonous frog = 3 grams

By using the multiplication operator (x)

Then, the weight of 9 such frogs  = 9 x (Weight of each frog)

⇒ The weight of  9 frogs  = 9 x 3 grams

⇒ The weight of  9 frogs  = 7 grams

Therefore, the correct option is B) 27 grams in all

Paul will pay for his new car in 36 monthly payments. If his car loan is for $20,538 then how much will Paul pay each month?

Answers

Answer:

570.50

Step-by-step explanation:

I think it's the correct answer maybe it is maybe it's not

Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.  

This means that Paul will be paying $570.50 every month till the completion of 36 months.

The given parameters for the calculation of the monthly installment:

Loan amount= $20,538 Total months to repay the loan= 36 months

Calculation of the monthly amount of Paul's loan:

[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]

Therefore, the monthly installment of paul will be $57.50.

To know more about the calculation of installment, refer to the link below:

https://brainly.com/question/84351

A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.

a. approx. 51.3°

b. approx. 32.0°

c. approx. 38.7°

d. approx. 58.0°​

Answers

I am learning this right now but in two hours I will tell you

Answer:

A) 51.3 degrees

Step-by-step explanation:

cosine x=15/24=0.625

x=51.32 degrees

If the height of a cylinder is halved, its volume becomes how many times?

Answers

Answer:

[tex]volume \: of \: cylinder = \pi {r}^{2} h \\ if \ \: \: h \: \: is \: halved \: then \\ volume = \frac{\pi {r}^{2} h}{2} [/tex]

hope my answer is correct

Sara bought 12 feet of fabric to make curtains. She needs to cut it into 1/4 foot sections. How many sections of fabric will she have.

Answers

Answer: 48 sections

Step-by-step explanation:

Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.

The number of sections she will have if she does so is:

= Total length of fabric / Length of sections

= 12 ÷ 1/4

= 12 * 4/1

= 48 sections

Convert equation from slope intercept form to standard form y=-7/3x+1

Answers

Answer:

7x + 3y = 3

7x + 3y = 3

7x + 3y = 3

Can someone solve these for me I have no idea what to do and it has to be turns in within an hour

Answers

Answer:

Step-by-step explanation:

Subtract second equation from first equation to eliminate x

2x+6y-2x+10y=17-9

16y=8

y=1/2, use either original equation to solve for x

2x+6y=17 becomes

2x+6(1/2)=17

2x+3=17

2x=14

x=7 so the solution is the point (7, 1/2)

We can multiply the first by -2 and add it to second equation to eliminate x.

-2(3x-4y)+6x+3y=-2(-10)-42

-6x+8y+6x+3y=20-42

11y=-22

y=-2 using 3x-4y=-10 becomes

3x-4(-2)=-10

3x+8=-10

3x=-18

x=-6 so the solution is the point (-6,-2)

So you should be able to see how to solve the other two.

Answer:

Question 1: x = 7, y = [tex]\frac{1}{2}[/tex]

Question 2: x = -6, y = -2

Question 3: x = -1, y = 9

Question 4: There is no solution.

Please help me to solve this!​

Answers

Answer:

7 days im not sure

Step-by-step explanation:

can you trying giving us the answer that comes with the question if they have them  

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