Question

id # 1022043
period: dara
please show work and put a box around your answer

1. leons weekly salary is $478.25. his employer is changing the pay - period to semimonthly.

a. what is leons annual salary?
b. what will leons semi - monthly salary be to the nearest cent?

1. last year angelas annual salary was $38,350. this year she received a promotion and now earns $46,462 annually. she is paid semi - monthly.

a. what was her semi - monthly salary last year?
b. what is angelas semi - monthly salary this year?
c. on a semi - monthly basis, how much more does angela earn as a result of her promotion?

1. anthony is paid bi - weekly. how many pay checks does he receive in a year?
2. if you are paid semi - monthly, how many pay checks will you receive in a year?
3. jennifer regularly works a 40 - hour week and earns $16 per hour. she receives double - time pay for each hour of overtime she works. last week she worked 43 hours.

a. what was her regular gross pay?
b. what was her hourly overtime rate?
c. what was her overtime pay?
d. what was her total pay for the week?

Explanation:

Step1: Calculate Leon's annual salary

Annual salary = Weekly salary $\times$ 52 weeks. Given weekly salary is $478.25$, so annual salary = $478.25\times52 = 24869$.

Step2: Calculate Leon's semi - monthly salary

Semi - monthly means 24 pay periods in a year. Semi - monthly salary = Annual salary $\div$ 24. So semi - monthly salary = $\frac{24869}{24}\approx1036.21$.

Step3: Calculate Angela's last - year semi - monthly salary

Last year annual salary was $38350$. Semi - monthly salary = $\frac{38350}{24}\approx1597.92$.

Step4: Calculate Angela's this - year semi - monthly salary

This year annual salary is $46462$. Semi - monthly salary = $\frac{46462}{24}\approx1935.92$.

Step5: Calculate the increase in Angela's semi - monthly salary

Increase = This year semi - monthly salary - Last year semi - monthly salary = $1935.92 - 1597.92=338$.

Step6: Calculate the number of bi - weekly pay checks for Anthony

Bi - weekly means every 2 weeks. There are 52 weeks in a year, so number of pay checks = $\frac{52}{2}=26$.

Step7: Calculate the number of semi - monthly pay checks

Semi - monthly means 2 pay periods per month. There are 12 months in a year, so number of pay checks = $12\times2 = 24$.

Step8: Calculate Jennifer's regular gross pay

Regular hours are 40 and rate is $16$ per hour. Regular gross pay = $40\times16 = 640$.

Step9: Calculate Jennifer's overtime rate

Overtime rate is double - time. So overtime rate = $16\times2=32$ per hour.

Step10: Calculate Jennifer's overtime pay

Overtime hours = $43 - 40=3$ hours. Overtime pay = Overtime hours $\times$ Overtime rate = $3\times32 = 96$.

Step11: Calculate Jennifer's total pay

Total pay = Regular gross pay+Overtime pay = $640 + 96=736$.

Answer:

1.
A. $24869$
B. $\$1036.21$
2.
A. $\$1597.92$
B. $\$1935.92$
C. $\$338$

1. $26$
2. $24$

5.
A. $\$640$
B. $\$32$
C. $\$96$
D. $\$736$