You are offered a job that pays ​$41,000 during the first​ year, with an annual increase of 7​% per year beginning in the second year. That​ is, beginning in year​ 2, your salary will be 1.07 times what it was in the previous year. What can you expect to earn in your fourth year on the​ job? Round your answer to the nearest dollar.

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

Answer:

2. 64

3. 2

Step-by-step explanation:

Answer:

I think the answer is 2.3

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

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

-3x+2y=-12

3x+5y=33

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

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

[tex]\frac{37.40}{34} = \frac{x}{100}[/tex]                         cross multiply

34x = (37.40)(100)

34x = 3740                      divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

just to check...

34 • 1.10 = $37.40

or

34 • .10 = 3.40

34 + 3.40 = 37.40

Answer:

30

Step-by-step explanation:

? = 180 - 150 = 30

Answer:

30°

Step-by-step explanation:

The line is 180 degrees so all you have to do is subtract 150° from 180°

You should end up with 30°

Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.

Answer:

13

Step-by-step explanation:

Answer:

(-4,-5)

Step-by-step explanation:

Start from the original point and go 8 units to the left and 7 units down and plot the point.

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

Answer:

13 1/2 is your answer.

Step-by-step explanation:

With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Saul can cut 4 lawns in 6 hours.

The ratio of hours to lawns will be as,

6/4

Suppose the time taken to mow 9 lawns to Mitch is x hours.

The ratio of hours to lawns will be as

x/9

Since the rate is the same thus ratio must be the same.

x/9 =  6/4

x = 6/4 x 9

x = 13.5 = 13 + 1/2

Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".

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Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )

Answer:

Slope: y2-y1/x2-x1

Step-by-step explanation:

You find slope from two coordinate pairs by using the slope formula(y2-y1/x2-x1) or rise over run from a graph.

To find y-intercept, x needs to be 0 on a graph.

Hope this helps!

Answer:

The estimated sales were $260 million

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]

[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]

The estimated sales were $260 million

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

X COULD BE 2 OR 7

Step-by-step explanation:

Answer:

A. x= -3

Step-by-step explanation:

firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.

Answer:

4, 1, 6

Step-by-step explanation:

The coefficient of x is 4

The coefficient of y is 1

The coefficient of z is 6

The coefficient of a variable is the number that appears before it.

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

Answer:

Right triangle

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle.

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

assuming this is a rectangle:

VW=31

WX=19

YW=36.36

ZX=18.18

VX=36.36

Step-by-step explanation:

VW=VX

VW=31

WX=VX

WX=19

YW^2=19^2+31^2

YW^2=361+961

YW^2=1322

YW=36.36

ZX=1/2VX

ZX=18.18

VX=YW

VX=36.36

The measures of the rectangle are

a) The measure of VW = 31

b) The measure of WX = 19

c) The measure of YW = 36.36

d) The measure of ZX = 18.18

e) The measure of VZ = 18.18

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as VWXY

Now , the diagonals of the rectangle are VX and WY

Substituting the values in the equation , we get

The measure of VY = 19

The measure of XY = 31

Now , for a rectangle the opposite sides are congruent

So , the measure of VY = measure of WX

And , the measure of XY = measure of VW

On simplifying the equation , we get

The measure of WX = 19

The measure of VW = 31

And , the diagonal of the rectangle = √ ( Length )² + ( Width )²

Substituting the values in the equation , we get

The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²

The diagonal of the rectangle YW = √ ( 961 + 361 )

The diagonal of the rectangle YW = 36.359 ≈ 36.36

And , the measure of VX = measure of YW = 36.36

Now , the measure of ZX = measure of VZ = measure of VX / 2

So , the measure of ZX and VZ = 36.36 / 2 = 18.18

Hence , the diagonal of the rectangles is 36.36

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Answer:

0.1d + 0.25q = 50

Step-by-step explanation:

dimes are worth 10 cents so it's 0.1 and d represents the unknown amount

quarters are worth 25 cents so it's 0.25 and q represents the unknown amount

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Juan thinks that the graph of 6y + 12x = 4 is a line.

Solve the equation of the line for y, then we have

6y + 12x = 4

6y = 4 - 12x

y = 4/6 - (12/6)x

y = 2/3 - 2x

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

More about the linear equation link is given below.

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Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

Answer:

Step-by-step explanation:

hope this helps. pls mrk me branliest :)

Answer:

1)24.25

2)21

Step-by-step explanation:

1) (a/4)^2=(20/4)^2=25

b/2/8=6/8=3/4

25-3/4

=100/4-3/4

=97/4

=24.25

2)2(x-y)^2=2(3)^2=18

x-y=3

=18+3

=21

Hope this helps!

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

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Answer:

9+(c*2)

im pretty sure this is correct, sorry for misreading it at first <3

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%