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

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### 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.

### Question 44296

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.

### Question 44295

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.

### Question 44294

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

### Question 44293

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.

### Question 44292

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.

### Question 44291

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.

### Question 44290

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.

### Question 44289

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?

### Question 44288

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.