Transaction: 1)     October 1, 2016: Opened a bank account for Craft Fair rentals with $100.

2)     October 1, 2016: Took out a loan $14,000 from Best Bank and deposited it into the account to pay for expenses. Record as Best Bank Loan payable.

3)     October 1, 2016: Bought 20 folding tables from Staples for $1,500 on account. Expect the tables to last 3 years with no disposal value

4)     October 1, 2016: Bought 40 chairs from Staples for $1,200 on account. Expect the chairs to last 2 years with no disposal value

5)     October 2, 2016: bought 40 table cloths for $800 from Sears on account. Expect to last only 1 season, so expense.

6)     October 2, 2016: bought cleaning supplies for $97.00 from Super Store. Paid cash. Will use up within the year.

7)     October 5, 2016: Purchased a cash register for $2,500 from ABC Business Machines. It is expected to last 5 years.

8)     October 1, 2016: paid $6,000 for 3 months’ rental, (October 1 to December 31, 2017) to OK Hall rentals.

9)     October 31, 2016: Best Bank charge, interest on loan $33.33, other bank charges $7.50

10) October 31, 2016: Received $4,800 for the month for table rentals. All paid in cash.

11) October 31, 2016: Paid the Staples account $2,200.

12) October 31, 2016: Mr. Bro drew $3,000 out for his living expenses.

13) November 5, 2016: Paid Sears account $800.00 cash for table cloths. (see #5)

14) November 15, 2016: Paid “The Fix-it Man” $79.00 cash for repairs on the tables.

15) November 30, 2016: Sales invoice 1002 for table rentals of $9,000. $5,000 was paid in cash, balance on account.

16) November 30, 2016: Interest on loan, $33.33 and bank charges $7.50

17) November 30, 2016: Mr. Bro drew $3,000 out for his living expenses.

18) December 14, 2016: Received $4,000 cash for the balance of invoice #1002

19) December 15, 2016: Sales invoice 1003 for table rentals of $7,000. $5,000 in cash, balance on account.

20) December 29, 2016: Sales invoice 1004 for table rentals of $3,000, $1,000 in cash, balance on account.

21) December 30, 2016: Received $2,000 cash for payment of invoice 1003. (see # 20)

22) December 30, 2016: The Fix-it Man charged $58.00 for repairs. Will be paid in January.

23) December 31, 2016: Best Bank interest on loan of $33.33 and bank charges of $7.50.

24) December 31, 2016: Mr. Bro drew $3,000 out for his living expenses.

25) December 31, 2016: Paid $7,000 on the loan owing to Best Bank.

December 31, 2016: Computed amortization expense and accumulated amortization of $500 for the tables, $600 for the chairs and $500 for the cash registrar.

Q1:Prepare the journal entries to record the transactions.

a)Post the journal entries to a T-account

b) Prepare the trial balance

c) Prepare the income statement of the owner's equity for three months (Oct-December)

d) Prepare the balance sheet as of Dec. 31

e) Was the fall work successful? Should it continue in the fall 2017? Give reasons

Determine whether the given vectors are orthogonal, parallel, or neither.

32.

(a) u = (-5, 4, -2), v = (3, 4, -1)

(b) u = 9i-6j+3k, v = -6i+4j-2k

(c) u = (c, c, c), v = (c, 0, -c)

Use the Chain Rule to find the indicated partial derivatives. N = p + q p + r , p = u + vw, q = v + uw, r = w + uv; ∂N ∂u , ∂N ∂v , ∂N ∂w when u = 4, v = 2, w = 8

77 kW is to arrive at a town over two 0.140 ? lines. Estimate how much power is saved if the voltage is stepped up from 240 V to 2400 V and then down again, rather than simply transmitting at 240 V . Assume the transformers are each 99% efficient.

1. The expected return on stock W is 10% and its standard deviation is 15%. Expected return on stock V is 16% and its standard deviation is 24%. The correlation between returns of W and V is 20%.
   1. calculate expected return and standard deviation of a portfolio that invests 40% in W and 60% in V.
   2. determine the minimum variance combination of W and V and determine its expected return and standard deviation.
   3. If the risk-free rate is 4%, determine the tangency portfolio and derive the capital market line equation.

VII. Deduce the line or lines necessary to show the validity of the following arguments. Be sure to cite the lines from which each conclusion follows and give its justification . Please copy these arguments into your exam booklet.

1.

1. (~F v X) ↄ (P v T)

2. F ↄ P

3. ~P

––––––––––––––––

T

2.

1. (H v ~B) ↄ R

2. (H v ~M) ↄ P

3. H

–––––––––––––––

R ∙ P

VII. Deduce the line or lines necessary to show the validity of the following arguments. Be sure to cite the lines from which each conclusion follows and give its justification . Please copy these arguments into your exam booklet.

1.

1. (~F v X) ↄ (P v T)

2. F ↄ P

3. ~P

––––––––––––––––

T

2.

1. (H v ~B) ↄ R

2. (H v ~M) ↄ P

3. H

–––––––––––––––

R ∙ P

The velocity of sound, v (m/s), increases as the square rootof the absolute temperature, T (K):

   v = v_o ?(T/T_o)

where v_o is the velocity of sound at temperatureT_o.

a) Make a rough sketch of how the graph of v versus T wouldlook.

b) If one measures v for several temperatures, T, how couldyou plot the data so as to get a straight line?

c) What would be the slope of this straight line, in terms ofv_o and T_o?

d) What would be the SI units of this slope?

The surface area of a right-circular cone of radius r and height h is S=πrr2+h2−−−−−−√, and its volume is V=1/3πr2h.

(a) Determine h and r for the cone with given surface area S=4 and maximal volume V.
h=  , r=

(b) What is the ratio h/r for a cone with given volume V=4 and minimal surface area S?
hr=

(c) Does a cone with given volume V and maximal surface area exist?
A. yes
B. no