Topic 3 hw

1. An item is regularly priced at $95. It is on sale for 45%off the regular price.

Use the ALEKS calculator to find the sale price.

$

 

2. Juan has two coupons for a printer.

Coupon A: $23 rebate on a $57 printer
Coupon B: 35%off of a $57 printer

Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.

Coupon A gives the lower price. The price with coupon A is    less than the price with coupon B. Coupon B gives the lower price. The price with coupon B is       less than the price with coupon A.

 

 

3. A book sold 32,100copies in its first month of release. Suppose this represents 9%

of the number of copies sold to date. How many copies have been sold to date?

Round your answer to the nearest whole number.

4. A TV has a listed price of $574.98before tax. If the sales tax rate is 25%, find the total cost of the TV with sales tax included.

 

Round your answer to the nearest cent, as necessary.

 

 

 

 

 

 

 

5.    Greg is looking for the best deal on a smartphone that regularly costs $869 . Help him compare the price of the smartphone at a store with the price on the store’s website by completing the following.
(a)	The store’s website is offering the smartphone at a 50% discount off the regular price. Ignoring tax and shipping, how much would he pay for the smartphone on the store’s website?
$
(b)	The store is having a sale, offering a 30% discount off the regular price of the smartphone. Greg also has an in-store-only coupon for an additional 20% off the sale price. Ignoring tax, how much would he pay for the smartphone at the store?
$
(c)	Select the true statement.
Greg would pay less for the smartphone on the website.
Greg would pay less for the smartphone at the store.
Greg would pay the same amount at the store and on the website.

 

 

6. A house has increased in value by 34%since it was purchased. If the current value is

$603,000, what was the value when it was purchased?

 

7. A table is on sale for $624, which is 36%less than the regular price. What is the regular price?

 

 

8. The price of an item yesterday was $105. Today, the price fell to $63. Find the percentage decrease.

%

 

9. The price of a notebook was $3.30 Today, the price rose to $3.80. Find the percentage increase. Round your answer to the nearest tenth of a percent.

%

 

10. A volcano on a recently discovered planet rises to a height of 913mi.
    Use the table of facts to find the height of the volcano in feet.
    Round your answer to the nearest tenth.

 

			Conversion facts for length 12 inches = 1foot 3 feet ft = 1yard yd 36inches in = 1yard yd 5280 feet ft = 1mile mi 1760 yards yd = 1mile mi

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

11. A jogging track has a length of 968 How long is this in miles?
    First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.

Ratios: 1mi/5280ft 5280ft/1mi 1760yd/1mi 1mi/1760yd 1ft/2in 12in/1ft   968yd/1 × = mi

 

 

 

12.  The tree in Manuel’s backyard is 9 meters high. Use the facts to find how high this is in centimeters.	Conversion facts for length
1000 millimeters (mm) = 1 meter (m)
100 centimeters (mm) = 1 meter (m)
10 decimeters (dm) = 1 meter (m)
1 dekameter (dam) = 10 meters (m)
1 hectometer (hm) = 100 meters
1 kilometer (km)= 1000 meters (m)

 

 

 

13.  A scientist is working with 0.7 m gold wire. Use the facts to find how long this is in millimeters.	Conversion facts for length
1000 millimeters (mm) = 1 meter (m)
100 centimeters (mm) = 1 meter (m)
10 decimeters (dm) = 1 meter (m)
1 dekameter (dam) = 10 meters (m)
1 hectometer (hm) = 100 meters
1 kilometer (km)= 1000 meters (m)

 

 

14. Columbia Mirror and Glass pays Nancy Harris a $870 monthly salary plus a 5% commission on merchandise she sells each month. Assume Nancy’s sales were $60,600 for last month.

Calculate the following amounts:

1. Amount of Commission: $ 2. Gross Pay: $

 

 

15. To plan for retirement, Carlos deposits $280each quarter in an annuity that pays 9%

interest compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 27 years.

Do not round any intermediate computations, and round your final answer to the nearest cent.

 

 

16. Ivan invested $4300in an account that pays an annual interest rate of 4%, compounded monthly. Answer each part.

 

(a) Find the amount in the account after one year, assuming no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest cent. $ (b) Find the effective annual interest rate, expressed as a percentage. Do not round any intermediate computations, and round your answer to the nearest hundredth of a percent. %

 

 

 

 

 

 

17. Lisa plans to purchase a new sports car. The dealer requires a 10%down payment on the $48,000 Lisa will finance the rest of the cost with a fixed-rate amortized auto loan at 6.5%annual interest with monthly payments over 5 years.

Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary.

.

(a) Find the required down payment. $ (b) Find the amount of the auto loan. $ (c) Find the monthly payment. $

 

18. Fill in the blanks below with the correct units. (u and t are not part of problem)

(a) Deshaun’s shoe weighs about 4        u (b) Josh baked a cake. The recipe required 7       of milk. (c) The length of a new pencil is about 2      t

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

19. Scott wants to find the average time it takes West High School students to run a lap around the track. So, he will consider 24students to find the average time.

Answer the questions below. (highlight answers)

(a) Which unit(s) could be used for the unit of measurement? Check all that apply. feet inches hours meters seconds (b) Which of the procedures below would be the best way to find the average time? or Measure the times of 24 volunteers who run a lap around the track. Or Ask for 24 volunteers to run a lap around the track and have them state their own times. Or Randomly pick 24 students to run a lap around the track and have them state their own times. or Randomly pick 24 students to run a lap around the track and measure their times.

 

20. A water tower has a volume of 352,200gal

Use the table of conversion facts to find out how many cubic yards of water it would take to completely fill the water tower.

Round your answer to two decimal places.

Conversion facts for volume and capacity
1 cubic yard yd3	≈	201.97 gallons gal
1 cubic foot ft3	≈	7.48 gallons gal
231 cubic inches in3	=	1 gallon gal

Note that ≈ means “is approximately equal to”. For this problem, treat ≈ as if it were =.

 

 

 

21. Linda has a rectangular poster. The poster is 1.5 meters long and 0.8 meters wide. What is the area of the poster in square centimeters? Do not round your answer.	Conversion facts for length
1000 millimeters (mm) = 1 meter (m)
100 centimeters (mm) = 1 meter (m)
10 decimeters (dm) = 1 meter (m)
1 dekameter (dam) = 10 meters (m)
1 hectometer (hm) = 100 meters
1 kilometer (km)= 1000 meters (m)

 

 

22. The Campbells bought a $354,000townhome. They made a down payment of $44,000and took out a mortgage for the rest. Over the course of 30 years they made monthly payments of $1858.62 on their mortgage until it was paid off.

(a) What was the total amount they ended up paying for the townhome (including the down payment and monthly payments)? $ (b) How much interest did they pay on the mortgage? $

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

23. To help pay for college, Leila borrowed money from an online lending company.
    She took out a personal, amortized loan for $54,000, at an interest rate of 5.65%, with monthly payments for a term of 15years.
    For each part, do not round any intermediate computations and round your final answers to the nearest cent.

(a) Find Leila’s monthly payment. $ (b) If Leila pays the monthly payment each month for the full term, find her total amount to repay the loan. $ (c) If Leila pays the monthly payment each month for the full term, find the total amount of interest she will pay. $

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

24. Lisa is taking out a mortgage for $241,000to buy a new house and is deciding between the offers from two lenders. She wants to know which one would be the better deal over the life of the mortgage loan, and by how much.

    Answer each part. Do not round intermediate computations, and round your answers to the nearest cent.

(a) A savings and loan association has offered her a 15-year mortgage loan at an annual interest rate of 5.6%. Find the monthly payment. $ (b) An online lending company has offered her a 40-year mortgage loan at an annual interest rate of 2.1%. Find the monthly payment. $ (c)       or Suppose Lisa pays the monthly payment each month for the full term. Which lender’s mortgage loan would have the lowest total amount to pay off, and by how much? Savings and loan association The total amount paid would be      less than to the online lending company. Online lending company The total amount paid would be     less than to the savings and loan association.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

25. When Latoya had 4years left in college, she took out a student loan for $16,965. The loan has an annual interest rate of 4.8%. Latoya graduated 4years after acquiring the loan and began repaying the loan immediately upon graduation.

According to the terms of the loan, Latoya will make monthly payments for 10 years after graduation. During the 4 years she was in school and not making payments, the loan accrued simple interest.

Answer each part. Do not round intermediate computations, and round your answers to the nearest cent.

(a)If Latoya’s loan is subsidized, find her monthly payment. Subsidized loan monthly payment: $ (b)If Latoya’s loan is unsubsidized, find her monthly payment. Unsubsidized loan monthly payment: $