Aprinting 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?

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

answer: i believe it’s 245.04

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752