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netineya [11]
3 years ago
13

#43 please help have mid terms Tomorrow

Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

Answer:

Job A is more profitable for nearly 49 months (or 50 months including the first month)

Job B is more profitable after 49 months (or 50 months including the first month).

Step-by-step explanation:

Let x be the number of months passed after first month

<u>Job A:</u>

$2,000 for the first month with a $300 raise every month thereafter

Function describing this situation:

f(x)=2,000+300x

<u>Job B:</u>

$1,500 for the first month with a 5% raise every month thereafter

Function describing this situation:

g(x)=1,500\cdot (1+0.05)^x\\ \\g(x)=1,500\cdot 1.05^x

Plot both graphs (see attached diagram). The diagram shows that the job A is more profitable for nearly 49 months (or 50 months including the first month) and the job B is more profitable after 49 months (or 50 months including the first month).

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____________

Hope it helps ⚜

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