MATH 3A Midterm: Midterm1_3A

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31 Jan 2019

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$MATH 3A Full Course Notes$

MATH 3A Full Course Notes

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There are 6 exercises, worth a total of 40 points. Provide computations and or explanations, unless stated otherwise. Exercise 2 (10 = 2 + 4 + 2 + 2 pts) Solution: (a) [3, 3, 0]t . (b) . 2 (c) [0, 1, 0, 0]t + x3[1, 1, 1, 0] + x4[ 1, 1/2, 0, 1]t . (d) for example, column 1 - column 2 + column 3 = 0. Exercise 3 (7 = 2 + 3 + 2 pts) Solution: (a) [8, 6, 8, 0]t . (b) no, zero row in echelon form, [0, 0, 0, 1]t . (c) no, free variables. Let t : r3 r2 be the linear map such that. Let t : r2 r2 be the re ection in the line x = y, which is a linear map. Com- pute the standard matrix of t .

Related Questions

QUA0002 – Assignment # 1 (10 %)

There are 25 questions distributed over 20 exercises; each question is worth 1 point for a total of 25, then converted to base 10.
Kindly answer all questions and show your work.

EXERCISES

A hitch and trailer listed at $2149.00 has a net price of $1360.00. What is the rate of
discount? Give your answer in percentage rounded to nearest 100th.
Rina Boutique advertises a discount of $54.72 on sandals. If the discount is 33.5%, for
how much were the sandals sold? Round to nearest 100th.
A 14% discount on a dryer that Gell-Mann purchased, amounted to $70.00. Calculate the
net price.
A microscope is listed for $477.00 less 19 2/3 %, 9%, 7.7%. What is the equivalent single
rate of discount that was allowed? Round to nearest 100th.
Lamb Goldsmith sells watches for $840.00 less 12.55%. Its competitors across the
street offer the same type of watch for $860.00 less 13.25%, 11.5%. What additional rate
of discount (percentage) must Lamb offer to meet the competitor's price? Round to
nearest 100th.
An invoice for $6200.00, dated May 28, 3/10, 1/20, n/60, was received on May 30. What
payment must be made on June 5 to reduce the debt to $4760.00? Approximate to the
nearest 100th.
What amount will reduce the amount due on an invoice of $9410.25 by $842.00 if the terms
of the invoice are 5/10, n/30 and the payment was made during the discount period?
Approximate to nearest 100th.
On 19 June, an invoice dated 18 June for $6250.00 less 17%, 16%, terms 5/10, n/30, was
received by Heisenberg Distributors. What is the amount due if the invoice is paid in
full on 27 June? Round to nearest 100th.
The Scientific Store received an invoice for $6710.00 dated July 13, terms 5/10, 2/30,
n/90, for a shipment of skis. Calculate the partial payments made 20 July to reduce the
balance to $4000.00 Round to nearest 100th.
Purcell Export received an invoice dated August 21 from Dutch Specialties of Amsterdam with
terms 5/20, n/45 for: 10 wood trays at $37.45 each; 35 wood planters at $43.75 each;
50 wood bowls at $37.25 each.

a)What is the amount due if the invoice is paid in full on September 6? Round to nearest 100th.

b)If only a partial payment is made on the last day of the discount period, what amount is due to reduce the outstanding balance to $1500.00? Round to nearest 100th.

An invoice for $4755.00, dated 27 March, terms 3/10 E.O.M., was received 29 March. What
payment must be made on 10 April to reduce the debt to $1900.00? Round to nearest 100th.
Aronian Import received an invoice dated January 5 for a shipment of goods received
January 11. The invoice was for $5525.00 less 40%, 8% with terms 3/20 R.O.G. How much
must Aronian Import pay on January 20th to reduce its debt by $3000.00?
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 nearest 100th.
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 nearest 100th.

b)Calculate the rate of markup based on the selling price of one tire. Approximate to nearest 100th.
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 nearest 100th.

b)Calculate the amount of markup. Approximate to nearest 100th.

A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00.

a)Compute the markdown.

b)Compute the markdown rate in percentage to the nearest 100th.
The regular selling price of merchandise sold in a store includes a margin of 62% based
on selling price. During a sale, an item which cost the store $231.25 was marked down
47%. For how much was the item sold? Approximate to nearest 100th.
A furniture store sold a bed regularly priced for $990.00 for $720.00. The bed 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 nearest 100th) at which
the bed was sold. Round to nearest 100th.
A furniture store sold a bed regularly priced for $990.00 for $720.00. The bed 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 nearest 100th.

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 nearest 100th.

b)What was the rate of markdown at which the answering machine was sold? Round to nearest 100th.

Total: /25 or /10

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MATH 3A Midterm: Midterm1_3A

MATH 3A Full Course Notes

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