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Question
cathy is looking for a job as a bookkeeper. one online job site lists a job in a stereo store that pays 34.6k. another job, in a clothing store, has a weekly salary of $620. a. which job is the higher - paying job? select b. what is the difference in the weekly salaries of these two jobs? round to the nearest dollar.
Part a
Step 1: Calculate annual salary of clothing store job
To find the annual salary of the clothing store job, we know there are 52 weeks in a year. So we multiply the weekly salary by 52. The weekly salary is $620, so the annual salary is $620 * 52.
$620\times52 = 32240$ (dollars), which is $32.24$K.
Step 2: Compare the two annual salaries
The stereo store job pays $34.6$K and the clothing store job pays $32.24$K. Since $34.6>32.24$, the stereo store job is the higher - paying job.
Part b
Step 1: Find the annual salary of the stereo store job in dollars
We know that $34.6$K means $34600$ dollars (because $1$K = $1000$ dollars, so $34.6\times1000 = 34600$).
Step 2: Find the annual salary of the clothing store job in dollars
As calculated before, the annual salary of the clothing store job is $620\times52 = 32240$ dollars.
Step 3: Find the difference in annual salaries
Subtract the annual salary of the clothing store job from the annual salary of the stereo store job: $34600 - 32240=2360$ dollars.
Step 4: Find the difference in weekly salaries
To find the weekly difference, we divide the annual difference by 52 (since there are 52 weeks in a year). So the weekly difference is $\frac{2360}{52}\approx45$ (rounded to the nearest dollar).
Final Answers
a. The stereo store job (the job in the stereo store) is the higher - paying job.
b. The difference in the weekly salaries is $\$45$.
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a. The job in the stereo store (stereo store job)
b. $\$45$