Question

1. kim answered a help - wanted ad. the ad states that the job pays d dollars semiannually. express kims monthly salary algebraically.
2. rudys job pays him $1,550 per week. express his annual salary using the k notation.
3. teach - tech is an online job - listing site for prospective teachers. the charge to teachers looking for jobs is $19 per week, for the first 4 weeks, to post their resumes. after four weeks, the cost is $7 per week.

a. if w represents the number of weeks, represent the cost c(w) as a piecewise function.
b. find the cost of listing a resume for 8 weeks.

1. charleen earns m dollars per month as a police officer. express algebraically her annual salary using the k abbreviation found in classified ads.
2. marty is a dentist. he is placing an eight - line classified ad for a hygienist. the following piecewise function gives the price of an x - line ad. c(x)=\

$$\begin{cases}31&\\text{when }x\\leq5\\20 + 6(x - 5)&\\text{when }x>5\\end{cases}$$

a. what is the cost of the first five lines if marty purchases five lines?
b. what is the cost of the first five lines if marty purchases more than five lines?
c. how much less is a six - line ad compared to a five - line ad?

1. kevin is looking for a job as a piano technician. one classified ad lists a job that pays 64.6k. another job he found has a weekly salary of $1,120. what is the difference in the weekly salaries of these two jobs? round to the nearest dollar.
2. michelle got a new job through the mccartney employment agency. the job pays $49,400 per year, and the agency fee is equal to 35% of one months pay. how much must michelle pay the agency? round to the nearest cent.
3. todd is looking for a job as a chemistry teacher. he plans to send resumes to 145 schools in his city. his local printer charges $34 per 100 copies and sells them only in sets of 100.

a. how many copies must todd purchase if he is to have enough resumes?
b. how much will the copies cost todd, including 5% sales tax?

Explanation:

10.

Step1: Know semiannual - annual relation

Semiannual means twice a year. So annual pay is $2d$ dollars.

Step2: Calculate monthly pay

Monthly pay = annual pay $\div$ 12. So monthly pay is $\frac{2d}{12}=\frac{d}{6}$ dollars.

Step1: Know number of weeks in a year

There are 52 weeks in a year.

Step2: Calculate annual salary

Annual salary = weekly salary $\times$ 52. So annual salary is $1550\times52 = 80600$ dollars. In 'K' notation, it is $80.6K$.

Step1: For $w\leq4$

The cost per week is $19$. So $c(w)=19w$ when $0 < w\leq4$.

Step2: For $w > 4$

The cost for the first 4 weeks is $19\times4 = 76$. The number of weeks after 4 weeks is $w - 4$ and cost per week for these weeks is $7$. So $c(w)=76+7(w - 4)=76 + 7w-28=48 + 7w$ when $w>4$.

Answer:

$\frac{d}{6}$

11.