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JulsSmile [24]
3 years ago
6

Company A is offering $6,000 for the first month's salary and will increase the amount each month by $5,000. Company B is offeri

ng $700 or the first month and will double the pay each month.
Use the given table to determine for which month Company B's payment will first exceed Company A's payment?
A) Month 4
B) Month 6
C) Month 7
D) Month 9

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

The month in which Company B's payment will first exceed Company A's payment is C) Month 7.

Step-by-step explanation:

Step 1:

Company A offers $6,000 for the first month and increases the salary each month by $5,000.

Company B offers $700 for the first month but doubles the payments each month.

We need to determine which month company B's payment is greater than company A's payment.

Step 2:

According to the table, at month 6 company A pays $31,000 while company B pays $22,400.

However after this month, in the seventh-month company A pays $36,000 while company B pays $44,800, which is higher than company A's salary.

So The month in which Company B's payment will first exceed Company A's payment is C) Month 7.

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We determine line m as follows:

*First, by theorem we have the following:

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Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}

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Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:

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8 0
1 year ago
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