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nas5119
17.11.2019 •
Mathematics
Acompany is looking to hire a lawyer. one law firm states that their legal fees can be determined using the expression 380x + 25000, where x is the number of hours of legal assistance. a second law firm states that their legal fees can be determined using the expression 440x + 17000. the company president wants to know when the legal fees would cost the same for each law firm. what number of hours of legal assistance makes the equation 380x + 25000 = 440x +17000 true? round your answer to the nearest whole number.
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Ответ:
For x = 133 hours of legal assistance both the firms charges the same amount of legal fees.
Step-by-step explanation:
In LAW FIRM FIRST:
The legal fees is of the form:
380 x + 25000, where x is the number of hours of legal assistance.
In LAW FIRM SECOND:
The legal fees is of the form:
440 x + 17000, where x is the number of hours of legal assistance.
Now, let us assume for x working hours, both firm charges the same amount.
⇒380 x + 25000 = 440 x +17000
Solving for x, we get:
25,000 - 17,000 = 440 x - 380 x
or, 60 x = 8,000
or, x = 8000/60 = 133.33
or, x is approximately equal to 133 hours.
Hence, for x = 133 hours of legal assistance both the firms charges the same amount of legal fees.
Ответ: