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Problem 1: A rock is thrown upwards from the edge of a cliff. The rock follows the equation below. S=5*4+64t-16t^2. What is the greatest height above the ground this rock will go? Problem 2: You are designing a rectangular enclosure with 2 rectangular interior sections separated by parallel walls. If you have 300*6 feet of fencing, what is the maximum area that can be enclosed? Solution Problem 1: A rock is thrown upwards from the edge of a cliff. The rock follows the equation below. s=5*4+64t-16t^2. What is the greatest height above the ground this rock will go?.

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Problem 2.
Given are the amounts of assets, liabilities, owner’s equity, revenues, and expenses of AQUA
Inc. at 12/31/10. The beginning amount of Retained Earnings at 1/1/10 was $20,000, and during
the year Dividends of $60,000 were taken out by the owners of Aqua Inc.
Accounts Payable 59,000 Land 78,000
Accounts Receivable 15,000 Unearned Revenue 45,000
Advertising Expense 13,000 Utilities Expense 5,000
Building 160,000 Rent Expense 13,000
Cash 140,000 Operating Expenses 23,000
Supplies 10,000 Common Stock 240,000
Salary payable 2,000 Accumulated Depreciation 10,000
Prepaid Insurance Expense 20,000 Service Revenue 170,000
Interest Expense 9,000 Retained Earnings ?
Prepare the year-end Balance Sheet and Income Statement for AQUA LLP at the end of the
year. (Include Correct Headings)
Solution
Income Statement of AQUA LLP Period ending on 31.12.2010 Particulars Amount
Service Revenue 170000 Operating expenese Operating Expenses 23000
Administrative Expenses Supplies 10000 Rent Expenses 13000 Utilities Expenes 5000
28000 Selling expenses Advertsing Expenses 13000 Total Expenses 64000 Operating
Income 106000 Non-Operating Expenses Interest expenses 9000 Total Non-Operating
Expenses 9000 Net Income 97000 Balance Sheet of AQUA LLP As on 31.12.2010
Particulars Amount I. Equity & Libilities 1. Shareholders' Funds Common Stock 240000
Retained Earnings (See Workings) 57000 2. Non-Current Liabilities 0 3. Current
Liabilities Accounts Payable 59000 Salary Payable 2000 Unearned Revenue 45000
106000 Total 403000 II. Assets 1. Non-Current Assets Land 78000 Building
160000 Less: Accumulated Depreciation -10000 228000 2. Current Assets Accounts
Receivables 15000 Cash 140000 Prepaid Insurance Expenses 20000 175000 Total
403000 Working Notes Retailed Earnings Opening Balance on 1.1.2010 20000
Add: Net Income 97000 Total 117000 Less: Dividend Paid 60000 Closing Balance as on
31.12.2010 57000

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Problem 3-9 After plotting demand for four periods, an emergency room manager has concluded that a trend- adjusted exponential smoothing model is appropriate to predict future demand. The initial estimate of trend is based on the net change of 30 for the three periods from 1 to 4, for an average of +10 units. Use ?=.5 and ?=.1, and TAF of 250 for period 5. Obtain forecasts for periods 6 through 10. (Round your intermediate calculations and final answers to 2 decimal places.) After plotting demand for four periods, an emergency room manager has concluded that a trend- adjusted exponential smoothing model is appropriate to predict future demand. The initial estimate of trend is based on the net change of 30 for the three periods from 1 to 4, for an average of +10 units. Solution 6 263.30 7 272.89 8 281.53 9 290.78 10 298.72.

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