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natta225 [31]
1 year ago
9

Help Katherine has a new job and earns salary of $55,000. max has a new job and earns a salary of $64,000. Katherine will receiv

e a salary increase of $2,500 per year and Max will receive a salary increase of $1,500 per year.
Which equation ca be used to find x, the number of years it will take Katherine to earn the same salary as Max?


A. 55,000x+2,500x=64,000+1500x

B. 55,000+2500x=64,000+15000x

C. 55,000+64000x+1.500

D. 55,000x+2500=64,000+1,500
Mathematics
1 answer:
monitta1 year ago
5 0

The equation that represent the same salary is 55,000x+2,500x=64,000+1500x

<h3>What is Algebra?</h3>

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

Katherine has a new job and earns salary of $55,000.  Katherine will receive a salary increase of $2,500 per year .

max has a new job and earns a salary of $64,000. Max will receive a salary increase of $1,500 per year.

So, in the case they would have the same salary for some x years the expression can be

Katherine salary along with increment= 55000+ 2500x

Max salary along with increment= 64000+ 1500x

Hence, equation ca be used to find x, the number of years it will take Katherine to earn the same salary as Max is 55,000x+2,500x=64,000+1500x.

Learn more about algebra here:

brainly.com/question/24875240

#SPJ1

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I'm new to this and I dont really understand this
agasfer [191]

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=\sqrt{x-3}  \sqrt{x-3}

Hope I helped :)

5 0
2 years ago
10. rhombus abcd has vertices at a(-2, 7), b(8, 7), c(2, -1), and d (-8, -1).
horrorfan [7]

Answer: 80

Step-by-step explanation:

We can use the formula A=\frac{d_{1}d_{2}}{2}, where d_{1}, d_{2} are the lengths of the diagonals.

By the distance formula,

AC=\sqrt{(-2-2)^{2}+(-1-7)^{2}}=\sqrt{16+64}=4\sqrt{5}\\BD=\sqrt{(-8-8)^{2}+(-1-7)^{2}}=\sqrt{256+64}=8\sqrt{5}

So, the area is \frac{(4\sqrt{5})(8\sqrt{5})}{2}=\boxed{80}

6 0
2 years ago
Right triangle, hypotenuse =10 short= 5 what does the long leg equal
Gekata [30.6K]
15 = 10 +5 tha is my answer to <span>Right triangle, hypotenuse =10 short= 5 what does the long leg equal

</span>
4 0
3 years ago
Read 2 more answers
HELP PLSS I BEG plss
madam [21]

Answer:

Answer for 3:

its 6/2 and 3/1 because 6/2 simplified is 3 and 3/1 is 3

Step-by-step explanation:

Answer for 4

box one 1/4

box 2 4/10

box 3 3/4

5 0
3 years ago
Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.
s344n2d4d5 [400]

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

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

y=3/2x-13/2

Hope this helps!! :)

4 0
3 years ago
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