Before answering these questions, we need to write out both equations.
For Job 'A', his salary would be: 55,000 + 2,500n
This assumes 'n' equals the number of years Lenny spends at these companies.
For Job 'B', his salary would be: 62,000 + 2,000n
A.
So basically we need to find a number were:
55,000 + 2,500n = 62,000 + 2,000n
is true. So basically solve ^that^ equasion.
55,000 + 2,500n = 62,000 + 2,000n
simplify
500n = 7,000
devide
n = 14
Fourteen years is your answer.
B.
a. 55,000 + 2,500n
b. 62,000 + 2,000n
So in order to answer this question, you basically just have to replace 'n' with the number '20', and see which one's bigger.
a.
55,000 + 2,500(20)
55,000 + 50,000
105,000
b.
62,000 + 2,000(20)
62,000 + 40,000
102,000
105,000 > 102,000
So your answer is:
Lenny should go to company 'a' because 105,000 is greater than 102,000.
[[tip: If you want to wow, surprise, or confuse your teacher (depending on her actual intelligence) write something like, 'another reason Lenny should choose company 'a' is because it gives higher annual raises, which is better in long-term.' He/She may not get it though, lol, wrong class.]]
Anyway, I hope this helped! :D
Using the segment addition theorem, the solutions are:
5. x = 17
6. x = 7
7. x = 14
BC = 27
CD = 61
BD = 88
8. AB = 26
9. LJ = 46
10. x = 3
11. FG = 15
12. QS = 34
13. BC = 26
14. EG = 19
15. QS = 68
<h3>How to Apply the Segment Addition Theorem?</h3>
The segment addition theorem would be used to solve the problems as shown below:
5. UW = UV + VW [segment addition theorem]
Substitute
6x - 35 = 19 + 4x - 20
6x - 4x = 35 + 19 - 20
2x = 34
x = 17
6. HJ = HI + IJ [segment addition theorem]
Substitute
7x - 27 = 3x - 5 + x - 1
7x - 3x - x = 27 - 5 - 1
3x = 21
x = 7
7. BD = BC + CD [segment addition theorem]
Substitute
7x - 10 = 4x - 29 + 5x - 9
7x - 4x - 5x = 10 - 29 - 9
-2x = -28
x = 14
BC = 4x - 29 = 4(14) - 29 = 27
CD = 5x - 9 = 5(14) - 9 = 61
BD = 7x - 10 = 7(14) - 10 = 88
8. BC = BD
Substitute
2x + 1 = 5x - 26
2x - 5x = -1 - 26
-3x = -27
x = 9
AB = 43 - BC
AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26
9. 7x - 10 = 9x - 11 - (x + 3)
7x - 10 = 9x - 11 - x - 3
7x - 9x + x = 10 - 11 - 3
-x = -4
x = 4
LJ = 28 + 7x - 10 = 28 + 7(4) - 10
LJ = 46
10. 8x + 11 = 12x - 1
8x - 12x = -11 - 1
-4x = -12
x = 3
11. 11x - 7 = 3x + 9
11x - 3x = 7 + 9
8x = 16
x = 2
FG = 11x - 7 = 11(2) - 7
FG = 15
12. 5x - 3 = 21 - x
5x + x = 21 + 3
6x = 24
x = 4
QS = 2(5x - 3) = 10x - 6 = 10(4) - 6
QS = 34
13. 8x - 20 = 2(3x - 1)
8x - 20 = 6x - 2
8x - 6x = 20 - 2
2x = 18
x = 9
BC = AB = 3x - 1 = 3(9) - 1
BC = 26
14. 5x - 1 = 7x - 13
5x - 7x = 1 - 13
-2x = -12
x = 6
EG = 6x - 4 - 13 = 6(6) - 4 - 13
EG = 19
15. RT - ST = RS
Substitute
8x - 43 - (4x - 1) = 2x - 4
8x - 43 - 4x + 1 = 2x - 4
4x - 42 = 2x - 4
4x - 2x = 42 - 4
2x = 38
x = 19
QS = 2(RS)
QS = 2(2x - 4) = 4x - 8 = 4(19) - 8
QS = 68
Learn more about the segment addition theorem on:
brainly.com/question/28263183
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There are no graphs available.
Theres no graph with the question ?
Answer:
no, its not a good fit because if 36 is 2 less than 38, -2(2) +38 cant equal 36 because -2 x 2 equals -4 not -2
Step-by-step explanation:
