Question

sales in the county. how much tax money will the local government receive if i purchase a television for $395.99?

1. according to the american medical association, 6 out of 200 americans sleep more than 8 hours each night. give this ratio as a percent. if 700 people are surveyed, based on this statistic how many do you expect to sleep more than 8 hours per night?
2. according to the american medical association, 30% of americans sleep 7 hours each night. if 500 people are surveyed, based on this statistic how many would you expect to sleep 7 hours per night?
3. according to the u.s. census bureau statistics from the 2000 census, georgia has 5,185,965 residents ages 25 and older. of this number, 8.3% have graduate or professional degrees. based on these figures, how many georgian citizens have professional or graduate degrees?
4. the u.s. census bureau report from 2000 states that 14.5% of georgian workers ages 16 and older carpool to work. if there were approximately 3,832,803 workers counted in the 2000 census, how many of them carpooled to work?
5. your hourly rate of pay is $7.75 per hour. if you receive a 4% increase in your hourly rate, what is the new rate?
6. bernies burgers just increased the price of its mega burger by 5%. if the mega burger cost $2.29 before the increase, how much does it cost now?
7. the advertisement for a deskjet printer gives a sale price of $151.80. the regular price of the printer is $172.50. what is the percent discount on this printer?
8. the population of swan quarter was 550 in 2001. ten years later, it had decreased to 536. by what percent did the population decrease?
9. marisols annual salary as an engineer is $75,000. after receiving a promotion to project supervisor, her new annual salary is $80,000. what percent increase in her salary resulted from her promotion?
10. florida teachers received a $1250 raise this year. if wills salary last year was $32,000, what percent raise did he receive?

Explanation:

Step1: Identify the question type

These are all percentage - related calculation problems.

Step2: Solve problem 43

• First, find the percentage for the ratio of Americans sleeping more than 8 hours. The ratio is $\frac{6}{200}$, and to convert it to a percentage, we calculate $\frac{6}{200}\times100\% = 3\%$.
• Then, if 700 people are surveyed, the expected number of people sleeping more than 8 hours is $700\times0.03=21$.

Step3: Solve problem 44

If 30% of Americans sleep 7 hours each night and 500 people are surveyed, the expected number is $500\times0.3 = 150$.

Step4: Solve problem 45

The number of Georgians with graduate or professional degrees is $5185965\times0.083=430435.095\approx430435$.

Step5: Solve problem 47

The new hourly rate after a 4% increase. The original rate is $7.75$ per hour. The new rate is $7.75\times(1 + 0.04)=7.75\times1.04 = 8.06$.

Step6: Solve problem 48

The new price of the Mega - Burger. The original price is $2.29$, and after a 5% increase, the new price is $2.29\times(1 + 0.05)=2.29\times1.05=2.4045\approx2.40$.

Step7: Solve problem 49

The percent discount on the printer. The discount amount is $172.50−151.80 = 20.70$. The percent discount is $\frac{20.70}{172.50}\times100\%=12\%$.

Step8: Solve problem 50

The percent decrease in the population of Swan Quarter. The decrease amount is $550 - 536=14$. The percent decrease is $\frac{14}{550}\times100\%\approx2.55\%$.

Step9: Solve problem 51

The percent increase in Marisol's salary. The increase amount is $80000 - 75000 = 5000$. The percent increase is $\frac{5000}{75000}\times100\%\approx6.67\%$.

Step10: Solve problem 52

The percent raise for Will. The raise amount is $1250$, and the original salary is $32000$. The percent raise is $\frac{1250}{32000}\times100\%\approx3.91\%$.

Answer:

• Problem 43: Percentage is 3%, expected number is 21.
• Problem 44: 150
• Problem 45: 430435
• Problem 47: $8.06$
• Problem 48: $2.40$
• Problem 49: 12%
• Problem 50: Approximately 2.55%
• Problem 51: Approximately 6.67%
• Problem 52: Approximately 3.91%