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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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Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
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Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒125^{2} = 50^{2} + (x)^{2}

⇒15625 = 2500+ (x)^{2}

⇒ 15625 = 2500+ x^{2}

Subtracting both side by 2500

⇒ 13025 = x^{2}

Square rooting both side, we know√a²=a

⇒ \sqrt{13025} =x

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

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3 0
3 years ago
two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
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Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

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a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

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7 0
3 years ago
To drive to work, Dave has to drive 20 miles east and then 15 miles north. If there were a direct road going northeast, how many
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By the Pythagorean theorem:

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