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Dmitry_Shevchenko [17]
3 years ago
9

A printing business employs 35 people. The employer offers the employees an insurance package that costs the company $2,170. The

employer has been investigating various plans. A new plan would cost $59 per employee plus a one-time $70 sign up fee (not per employee). Is the new plan a better deal?
Mathematics
2 answers:
7nadin3 [17]3 years ago
5 0

Answer:

New plan better

Step-by-step explanation:

We need to compare the cost of the first plan, $2170, to the cost of this  new plan. Fot this, we need to find the cost of the new plan. We need an equation for this.

For the new plan there is a fixed cost of $70, i.e, no matter how many employees there will be, the firm would have to pay $70. Then, if it has 1 employee, would face a cost of $70 + $59, where this $59 is the cost per employee. If the firm has 2 employees the cost will be $70 + $59 + $59 = $70 + 2*($59). If it hires 3 employees: $70 + $59 +$59 +$59 = $70 + 3*($59). And so forth for 4, 5, 6 employees.

Then, for the 35 employees the firm has the cost is:

$70 + 35*($59) = $2135

As $2135 < $2170, this new plan is better

Alex3 years ago
5 0

Answer:yes

Step-by-step explanation:

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oksian1 [2.3K]

Answer:

<em>(8.21, -20.79)</em>

Step-by-step explanation:

Given the simultaneous equation;

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From 2;

a = 29 + b ....3

Substitute 3 into 1;

\frac{29+b}{b} - \frac{b}{2}  = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

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a = 29 - 20.79

a = 8.21

<em>Hence the solution to the system of equation is (8.21, -20.79)</em>

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An athletic field is a 48 yd​-by-96 yd ​rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surr
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