Solved: A1. (a) In Fig 1, an island is at 2 miles distance in north of a shore

Home
questions and answers
a1 a in fig 1 an island is at 2 miles distance in north of a shoreline

Question

Quantitative Reasoning

A1. (a) In Fig 1, an island is at 2 miles distance in north of a shoreline. A tourist is staying at a villa on the shore that is 3 miles west of the island. The tourist is planning a trip from the villa to the island. Knowing that the tourist runs in a straight line at a rate of 5 mph and swims in a straight line at a rate of 2 mph. How far should the tourist run before swimming to minimize the time it takes to reach the island?

(b) A machine component is to be manufactured from a material with density 2.7 g/cm3and with a shape defined by rotating the function f(x)= V1+ x about the positive x axis, with x=0 corresponding to one end of the component. If the component is 3cm long, and solid, calculate it's mass

Answer

Verified

Question 44297

Quantitative Reasoning

D.An answering machine cost a dealer $ 220.00 less 31.5 %, 7 %. It is regularly priced at$ 212.00. The dealer's overhead is 17 % of the regular selling price and the answering machine was cleared out for $ 175.45.
a)What is the regular markup based on selling price? Round to the nearest100th.
b)What was the rate of markdown at which the answering machine was sold?Round to the nearest 100th.

Quantitative Reasoning

9.A furniture store sold a bed regularly priced for $ 990.00 for $ 720.00. Thebed was
originally purchased for $ 600.00 less 40 %. The store's overhead is 25 % of the regular
selling price. Calculate the operating profit or loss at the sale price. Round to the nearest 100th.

Quantitative Reasoning

8.A furniture store sold a bed regularly priced for $ 990.00 for $ 720.00. Thebed was
originally purchased for $ 600.00 less 40 %. The store's overhead is 25 % of the regular
selling price. Calculate the rate of markdown (as percentage to nearest100th) at whichthe hod was celd
the bed was sold.

Quantitative Reasoning

47 %. For how much was the item sold? Approximate to the nearest 100th.
Z.The regular selling price of merchandise sold in a store includes a margin of62 % based
on selling price. During a sale, an item which cost the store $ 231.25 was marked down

Quantitative Reasoning

S.A bike shop reduces the price of a bike for quick sale from $ 455.00 to $395.00.
a)Compute the markdown. Round to the nearest one.
b)Compute the markdown rate in percentage to the nearest 100th.

Quantitative Reasoning

15.Hume's pet shop purchases cat litter for $ 15.00 less 20% per bag. The store's overhead is 45 %of cost and Hume requires a profit of 20 % of cost.
a)For how much should a bag be sold? Round to the nearest 100th.
b)Calculate the amount of markup. Approximate to the nearest 100th.

Quantitative Reasoning

4.Karpov Dealers bought tires from a wholesaler at $ 75.00 dollars each and sold them at a mark-up of 25 % of cost.
a)Calculate the selling price of one tire. Approximate to the nearest 100th.

Quantitative Reasoning

3.Find the cost of an item that was sold for $ 4230.00 in order to realize a margin of 113 %based on cost. Round to the nearest 100th.

Quantitative Reasoning

2.Aronian Import received an invoice dated January 5 for a shipment of goods receivedJanuary 11. (a)The invoice was for $ 65525.00 less 8 % with terms 3/20R.O.G. How much
must Aronian Import pay on January 20th to reduce its debt by $3000.00? Round to the nearest 100th. (b)OPTIONAL (one bonus mark):What amount is Aronian still owing?

Quantitative Reasoning

An invoice for $ 4755.00, dated 27 March, terms 3/10 E.O.M., was received29 March. What payment must be made on 10 April to reduce the debt to $ 1900.00? Round to the nearest 100th.