Submission 24: Completing the Square and the Quadratic Formula This is the first time you have looked at it There are 2.5 questions worth 28 points. Part! Select the best answer from the choices provided (Each question is worth one point)
Use the discriminant to determine the nature of the roots of XL + 2X + 5 = o. no real roots one real root
two distinct real roots three distinct real roots
Use the discriminant to determine the nature of the roots of XL + 5x + 6 = o. no real roots one real root
two distinct real roots three distinct real roots
Use the discriminant to determine the nature of the rooL,>of 2XL = o. no real roots
two distinct real roots
one real root
three distinct real roots
Use the discriminant to determine the nature of the roots of -XL + 4x - 4 = o. no real roots one real root
two distinct real roots three distinct real roots
Use the discriminant to determine the nature of the roots of XL + 2x + 5 = o. no real roots one real root
two distinct real roots three distinct real roots
Use the discriminant to determine the nature of the roots of XL - 4x + 4 = o. no real roots one real root
two distinct real rooL'> three distinct real rooL'>
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a' ,(i»<i'4x2 - 32x + 16 = 0
(x- 4)2 = 12
(x-16)2 = 1
(X+4)2=-12
(x+16)2=-1
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a'
(x + 3)2 = 6
(x + 3)2 =-6
(x + 2)2 = 6
(x + 2)2 =3
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a'
5XL + 20X-120 = 0 (x+ 2)2 = 28
(x + 2)2 = -28
ex + 5)2 = -21 (x+ 4)2 = 21
Part 2 Select the best answer from the choices provided. (Each question is worth one point)
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a' 2XL + 24x + 16 = °
(2X + 6)2 = -28
(x+ 6)2 = 28
(x + 6)2 = -28 (2X+ 6)2 = 28
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a' 3XL - 24x + 24 = 0
(x- 3)2 = 5
(x+ 4? = 8
(X-4)2=8
(x- 8)2 = 8
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a' 9XL -18x- 45 = 0
(X-1)2 = 6
(X-9?=11
(x- 9)2 = 1.5
(x+ 1)2 = 6
Use the quadratic formula to solve lOXL - 30x - 100 = O. x=-20rx=5
x=20rx=-4
x=-50rx= 2
x=-40rx=-2
Use the quadratic formula to solve -4XL + 4x + 80 = o. x=-50rx=10
x=50rx=-4
x=40rx=-5
X= 100rx=5
Use the quadratic formula to solve 3XL - 12 = o. x=-20rx=4 x=-20rx= 2
x=20rx=-4 x= -4 orx =-2
Use the quadratic formula to solve XL + 7x + 12 = 0.
x = -8 orx=-4
x=40rx=-8
x=30rx=4
X= -4 orx=-3
Use the quadratic formula to solve -6XL + 6x = o. x= 10rx=0 x= 0 orx =-1
X=-10rX=2 x=20rx= 1
A baseball player hits a ball. The ball leaves the bat with an initial upward velocity of35 meters per second. If the ball is 1 meter off the ground when it leaves the bat, about how many seconds will it take for the ball to hit the ground?
7.17 seconds -0.03 seconds
14·34 seconds 35.133 seconds
Part 3 Select the best answer from the choices provided (Each question is worth one point)
Use the discriminant to determine the nature of the roots of 2XL + 4 = o. no real roots one real root
two distinct real roots three distinct real roots
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a' 5XL - 70x + 220 = 0
(X-7)2 = 11
(X-7)2=-11
(X-7)2 = 5
(x- 5)2 =5
Use the quadratic formula to solve 3XL + 4x - 6 =O.
-2 + V22 -2- V22 x=-2orx=3 X = or x =
6 6
-2 + v'42 -2 - V42 -2 + V22 -2 - V22 x = or x = x = or x =--
3 3 3 3
Use the quadratic formula to solve TXL- 4x - 5 =O.
2+v39 2-V39 4+ V39 4-V39 x = or x = x = or x =---
7 7 7 7
4 +v39 4-V39 2+V39 2-V39 x = or x = x = or x =--
14 14 14 14
Part 4 Type the answer to the question in the textbox below each item. (Each question is worth two points)
Use the discriminant to determine the nature of the roots of -2XL - 5x - 2= O.
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a'
Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a.
1.) Cash $105,000
-28 22/50 44%
-2 Debit: Debt Investments for 105,000 Credit: Cash for 105,000
Debt Investments $100,000
Premium on Bond $3,000
Brokerage $2,000
2.) Cash $3,000
Interest Revenue $3,000
-2 Debit account should be “Interest Receivable”, credit account should be “Interest Revenue”.
3.) Interest Accrued $3,000
Profits/Loss $3,000
4.) Cash $3,000
-1 Credit account should be “Interest Receivable”
Interest Revenue $3,000
5.) Cash $108,000
-2 Debit: Cash for 108,000 Credit: Debt Investments for 105,000 Credit: Gain on Sale of Debt Investments for 3,000
Investments in bonds $100,000
Premium on sale of bonds $8,000
-1 Debit account should be “Stock Investments”
6.) Stock Accounts $300,000
Cash $300,000
7.) Cash $30,000
-1 Credit account should be “Stock Investments”
To Dividend A/C $30,000
8.) (No entry required)
-2 Should be 302,000 (300,000 -30,000 + 32,000)
-2 Debit: Stock Investments for 32,000 Credit: Revenue from Stock Investments for 32,000
9.) $300,000
-2 Debit: Stock Investments for 51,000 Credit: Cash for 51,000
10.) Shares Account $50,000
Brokerage $1,000
Cash $5,100
11.) Cash $5,000
-1 Credit account should be “Dividend Revenue”
To dividend Accounts $5,000
12.) No entry
13.) Bank Account $40,000
-2 Debit: Cash for 40,000 Debit: Loss on Sale of Stock Investment for 11,000 Credit: Stock Investment for 51,000
Loss on Sale $10,000
To Stock Accounts $50,000
14.) Investment Accounts $2,000
-2 Debit: Market Adjustment – Trading for 2,000 Credit: Unrealized Gain – Income for 2,000
Revaluation Reserve Accounts $2,000
15.) No entry since the company considers them available for sale securities.
-2 Debit: Unrealized Loss - Equity for 2,000 Credit: Market Adjustment – Available-for-Sale for 2,000
16.) Investments
17.) Profits/Loss
18.) Profits/Loss
19.) Stock
-6
#17) Stockholders’ Equity - Balance Sheet
#18) Other Expenses and Losses – Income Statement
#19) Stockholders’ Equity - Balance Sheet
#21) Other Revenues and Gains – Income Statement
#22) Other Expenses and Losses – Income Statement
#23) Other Revenues and Gains – Income Statement
20.) Investment
21.) Profits/Loss
22.) Profits/Loss
23.) Profits/Loss
24.) Investments
25.) Current Assets
CHAPTER 15 ASSIGNMENTS
-21 29/50 58%
I suggest you re-read this chapter and take notes. Use this assignment to help you learn from your mistakes. Let me know if you need any help.
Instructions: Complete the problems below. This assignment can be completed in either: Microsoft Excel, Word, or hand-written and scanned in PDF format.
PART A. For problems 1-4: On January 1, the company issues $500,000 of ten-year, 8% bonds at 100. The bonds pay interest semi-annually on July 1 and January 1. Prepare journal entries for the following:
1. Issuance of the bonds on January 1.
Jan 1
Cash $500,000
Bonds Payable $500,000
2. Payment of interest on July 1.
July 1
-1 Should debit “interest Expense”
Interest Payable $20,000
Cash $20,000
3. Accrual of January 1 interest on December 31.
Dec 31
Interest Payable $20,000
-2 Should debit “interest Expense” and credit “interest payable”
Cash $20,000
(Being accrual of Jan 1 interest on Dec. 31)
4. Payment of interest on January 1 accrued on December 31.
Dec 31
Interest Payable $20,000
Cash $20,000
(Being payment of interest on Jan 1 accrued on Dec 31)
PART B. For problems 5-6: On January 1, the company issues $200,000 of two-year, 10% bonds at 105. The bonds pay interest annually on January 1.
5. Prepare the journal entry for issuance on January 1.
-2 The bonds are issued at 105, which means that they were sold for 200,000 X 105% = 210,000. Entry should debit cash for 210,000; credit bonds payable for 200,000 and credit premium on bonds payable for 10,000.
Jan 1
Cash $200,000
Bonds Payable $200,000
6. Compute the total cost of borrowing for the bonds.
-1 Missed the last step; subtracting the premium (10,000). Total cost = $30,000
$40,000 = 10% * 200,000 * 2yrs
PART C. For problems 7-8: On January 1, the company issues $300,000 in five-year, 5% bonds at 96. The bonds pay interest annually on January 1.
7. Prepare the journal entry for issuance on January 1.
-2 The bonds are issued at 96, which means that they were sold for 300,000 X 96% = 288,000. Entry should debit cash for 288,000 and debit discount on bonds payable for 12,000; credit bonds payable for 300,000.
Jan 1
Cash $300,000
Bonds Payable $300,000
8. Compute the total cost of borrowing for the bonds.
-1 Missed the last step; adding the discount (12,000). Total cost = $87,000
$75,000= 5%*300,000*5yrs
PART D. For problems 9-11: On January 1, the company issues $100,000 in two-year, 8% bonds at 95. The bonds pay interest annually on January 1.
9. Prepare the journal entry assuming retirement at maturity.
Dec 31
Cash $100,000
-2 Retirement of the bonds at maturity is always a debit to Bonds Payable for the face value (100,000) and a credit to cash for the face value (100,000).
Interest Accrued $8,000
To Bank $108,000
(Total cost of the bonds $16,000 = 8%*100,000*2)
10. Prepare the journal entry assuming retirement one year before maturity.
Dec 31
Cash $100,000
-2 Debit bonds payable for 100,000, debit loss on bond 2500; credit discount of bonds payable 2500, credit cash 100,000.
Interest Accrued $8,000
To Bank $108,000
11. Prepare the journal entry assuming the bonds are converted into 10,000 shares of $5-par value common stock at maturity. The fair market value of the stock at the time of the conversion is $85,000.
Dec 31
Cash $100,000
-2 Debit bonds payable for 100,000; credit common stock 50,000, credit paid-in-capital in excess – common stock 50,000
Interest Accrued $8,000
To Share Capital $50,000
To Securities Premium $50,000
To Bank $8,000
PART E. For problems 12-13: On January 1, the company issues a $200,000, 5%, 30-year mortgage note for new land. The terms call for annual payments on January 1 of $13,010.
12. Prepare the journal entry for the issuance of the mortgage.
Jan 1
-2 Debit Cash 200,000, credit mortgage payable 200,000
Land $200,000
To 5% Note $200,000
13. Prepare the journal entry for the accrual of the first payment on December 31.
Dec 31
-2 Debit Interest Expense $10,000 (200,000 X 5%); credit interest payable 10,000.
Interest Payable $13,010
To Accrued Interest $13,010
PART F. For questions 14-15: Interest expense = $3,000.00; Total Assets = $25,000.00; Total Debt = $10,000.00; Net Income = $5,000; Income Taxes = $2,500.00
14. Calculate percentage of debt to total assets
Interest Expense $3,000
Total Assets $25,000
Total Debts $10,000
Net Income $5,000
Income Tax $2,500
40% = Total debts / Total Assets
15. Calculate times interest earned
EBIT/Interest
=(Net Income + Tax)/ Interest
-1 (Net income + interest + tax) Interest = 5000+2500+3000 = 10,500 / 3000 = 3.5 times
= 2.5
PART G. For problems 16-20: Complete the following:
16. The company enters into a capital lease for equipment on January 1. The present value of the payments is $50,000, which is the fair value of the equipment. Prepare the journal entry for the transaction.
-1 Debit Leased Asset-Equipment 50,000; credit lease liability 50,000
Lease A/C Dr $50,000
To Lease Receivable $50,000
17. - 20. List the four conditions that can result in a lease being classified as a capital lease.
(a) If the lease life exceeds 75% of the life of the asset
(b) If there is a transfer of ownership to the lessee at the end of the lease term
(c) If there is an option to purchase the asset at a "bargain price" at the end of the lease term.
(d) If the present value of the lease payments, discounted at an appropriate discount rate, exceeds 90% of the fair market value of the asset.
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