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Algebra Questions
Answer the questions below. Make sure to show your work and
justify all of your answers
Simplify the trigonometric expression. Show your work.
1.
2. In , is a right angle. Find the remaining sides and angles.
Round your answers to the nearest tenth. Show your work.
a = 3, c = 19
3.Please show your work to find the mean and standard
deviation of the data. Round to the nearest tenth.
20, 16, 18, 14, 9, 20, 16
4. What are the points of discontinuity? Are they all
removable? Please show your work.
5. A sound wave is modeled with the equation .
a. Find the period. Explain your method.
b. Find the amplitude. Explain your method.
c. What is the equation of the midline? What does it represent?
6. Paula spots a glider located at an angle of elevation of 42°.
The distance between the glider and Paula is 3280 feet. To the
nearest foot, what is the height of the glider h from the ground?
Show your work.
Paula
Glider
42
o
3280fth
7. What is the product in simplest form? State any restrictions
on the variable. Please show your work.
y
2
y
2
y
2
Verify the identity. Justify each step.
8.
9. Is there any bias in the survey question? Explain.
What do think would help students pay more attention in class?
10. Find the values of the 30th and 90th percentiles of the data.
Please show your work.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
11. What is the quotient in simplified form? State any
restrictions on the variable. Show Work.
a
2
12. Vance is designing a garden in the shape of an isosceles
triangle. The base of the garden is 36 feet long. The function
models the height of the triangular garden.
36feet
not drawn to scale
y
a. What is the height of the triangle when
b. What is the height of the triangle when
c. Vance is considering using either or for his garden.
Compare the areas of the two possible gardens. Explain how
you found the areas.
13. Verify the identity. Justify each step.
14. Compare the graphs of the inverse variations. Please
provide at least 3 comparisons
/ and
15. Use a graphing calculator to solve the equation in the
interval from . Round to the nearest hundredth.
16. The equation models the height h in centimeters after t
seconds of a weight attached to the end of a spring that has been
stretched and then released.
a. Solve the equation for t.
b. Find the times at which the weight is first at a height of 1 cm,
of 3 cm, and of 5 cm above the rest position. Round your
answers to the nearest hundredth.
c. Find the times at which the weight is at a height of 1 cm, of 3
cm, and of 5 cm below the rest position for the second time.
Round your answers to the nearest hundredth.
17.
Consider the graph of the cosine function shown below.
2
O
2
4
–2
–4
y
a. Find the period and amplitude of the cosine function.
b. At what values of for do the maximum value(s),
minimum values(s), and zeros occur?
18.
Use the graph of the sine function shown below.
a. How many cycles occur in the graph?
b. Find the period of the graph.
c. Find the amplitude of the graph.
19. Verify the Pythagorean Identity.
20.
Howard is flying a kite and wants to find its angle of elevation.
The string on the kite is 32 meters long and the kite is level
with the top of a building that he knows is 28 meters high.
To the nearest tenth of a degree, find the angle of elevation.
Show your work.
© 2015 Laureate Education, Inc. Page 1 of 2
Healthcare Financial Management and Economics
Week 7 Assignment — Sharpe Medical Center
Developing Financial Statements
All organizations, including those in the healthcare industry,
need to make money to be
profitable and survive. Financial statements, such as balance
sheets, profit and loss
statements, and cash flow statements, summarize an
organization’s profitability and
overall financial status. For this Assignment, you practice
developing three key financial
statements using data from the Sharpe Medical Center.
Sharpe Medical Center
Sharpe Medical Center is a large Midwestern acute care and
ambulatory facility serving
an urban city population.
Givens (in '000s):
Inventory $4,000
Patient revenues (net of contractual allowance) $302,000
Gross plant, property, and equipment $375,000
Net accounts receivable $85,000
Ending balance, temporarily restricted net assets $6,000
Wages payable $6,600
Long-term debt $218,400
Supply expense $34,000
Net assets released from temporary restriction $7,000
Depreciation expense $44,000
General expense $95,000
Provision for bad debt expense $4,500
Cash and cash equivalents $18,000
Transfer to parent corporation ($3,900)
Beginning balance, unrestricted net assets $239,400
Accounts payable $11,000
Beginning balance, temporarily restricted net
assets
$13,000
Interest expense $6,000
Labor expense $123,000
Accumulated depreciation $22,000
Long-term investments $20,000
Ending balance, unrestricted net assets $238,000
To prepare for this Assignment:
Examine the data from Sharpe Medical Center. Reflect on how
you will use this data to
develop a Balance Sheet, Profit and Loss Statement, and Cash
Flow Statement. Refer
to the course text for additional guidance.
© 2015 Laureate Education, Inc. Page 2 of 2
The Assignment:
Complete a Balance Sheet, Profit and Loss Statement
(Statement of Operations), and
Cash Flow Statement (Statement of Changes in Net Assets)
using the “Week 7
Financial Statement Excel Template”.
.
Your Assignment is due by Day 7 of Week 7.
Balance SheetBalance Sheet (in '000s)For the Year Ended
September 30, 20169/30/16Current assets Cash and cash
equivalents Net accounts receivable InventoryTotal current
assetsGross plant, property, and equipment (less accumulated
depreciation)Net plant, property & equipmentLong-term
investments Total assets$0Current liabilities Accounts payable
Wages payableTotal current liabilitiesLong-term debtTotal
liabilitiesNet assets Ending balance, unrestricted net assets
Ending balance, temporarily restricted net assetsTotal net
assetsTotal liabilities and net assets$0
Profit and Loss StatementProfit and Loss Statement Statement
of Operations (in '000s)For the Year Ended September 30,
20169/30/16Unrestricted revenuesPatient revenues (net of
contractuals) Provision for bad debt expense Net patient
revenues Net assets released from temporary restrictionTotal
revenuesOperating expenses: Labor expense General expense
Supply expense Depreciation expense Interest expenseTotal
operating expensesExcess of revenues over expensesTransfer to
parent corporationIncrease in unrestricted net assets$0
Cash Flow StatementCash Flow StatementStatement of Changes
in Net Assets (in '000s)For the Year Ended September 30,
20169/30/16Unrestricted net assets Excess of revenues over
expenses Unrestricted contributions0 Transfer to parent
corporationChange in unrestricted net assets0Temporarily
restricted net assets Net assets released from temporary
restrictionChange in temporarily restricted net
assets0Permanently restricted net assets0Change in permanently
restricted net assets0Increase in net assets0Beginning balance,
net assetsEnding balance, total net assets$0
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Algebra QuestionsAnswer the questions below. Make sure to show y.docx

  • 1. Algebra Questions Answer the questions below. Make sure to show your work and justify all of your answers Simplify the trigonometric expression. Show your work. 1. 2. In , is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. Show your work. a = 3, c = 19 3.Please show your work to find the mean and standard
  • 2. deviation of the data. Round to the nearest tenth. 20, 16, 18, 14, 9, 20, 16 4. What are the points of discontinuity? Are they all removable? Please show your work. 5. A sound wave is modeled with the equation . a. Find the period. Explain your method. b. Find the amplitude. Explain your method. c. What is the equation of the midline? What does it represent? 6. Paula spots a glider located at an angle of elevation of 42°. The distance between the glider and Paula is 3280 feet. To the nearest foot, what is the height of the glider h from the ground? Show your work. Paula Glider 42 o 3280fth 7. What is the product in simplest form? State any restrictions on the variable. Please show your work.
  • 3. y 2 y 2 y 2 Verify the identity. Justify each step. 8. 9. Is there any bias in the survey question? Explain. What do think would help students pay more attention in class? 10. Find the values of the 30th and 90th percentiles of the data. Please show your work. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 11. What is the quotient in simplified form? State any restrictions on the variable. Show Work. a 2
  • 4. 12. Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 36 feet long. The function models the height of the triangular garden. 36feet not drawn to scale y a. What is the height of the triangle when b. What is the height of the triangle when c. Vance is considering using either or for his garden. Compare the areas of the two possible gardens. Explain how you found the areas. 13. Verify the identity. Justify each step. 14. Compare the graphs of the inverse variations. Please provide at least 3 comparisons / and 15. Use a graphing calculator to solve the equation in the interval from . Round to the nearest hundredth. 16. The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released. a. Solve the equation for t. b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth. c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to the nearest hundredth.
  • 5. 17. Consider the graph of the cosine function shown below. 2 O 2 4 –2 –4 y a. Find the period and amplitude of the cosine function. b. At what values of for do the maximum value(s), minimum values(s), and zeros occur? 18. Use the graph of the sine function shown below. a. How many cycles occur in the graph? b. Find the period of the graph. c. Find the amplitude of the graph. 19. Verify the Pythagorean Identity. 20. Howard is flying a kite and wants to find its angle of elevation. The string on the kite is 32 meters long and the kite is level with the top of a building that he knows is 28 meters high.
  • 6. To the nearest tenth of a degree, find the angle of elevation. Show your work. © 2015 Laureate Education, Inc. Page 1 of 2 Healthcare Financial Management and Economics Week 7 Assignment — Sharpe Medical Center Developing Financial Statements All organizations, including those in the healthcare industry, need to make money to be profitable and survive. Financial statements, such as balance sheets, profit and loss statements, and cash flow statements, summarize an organization’s profitability and overall financial status. For this Assignment, you practice developing three key financial statements using data from the Sharpe Medical Center. Sharpe Medical Center Sharpe Medical Center is a large Midwestern acute care and ambulatory facility serving an urban city population. Givens (in '000s): Inventory $4,000
  • 7. Patient revenues (net of contractual allowance) $302,000 Gross plant, property, and equipment $375,000 Net accounts receivable $85,000 Ending balance, temporarily restricted net assets $6,000 Wages payable $6,600 Long-term debt $218,400 Supply expense $34,000 Net assets released from temporary restriction $7,000 Depreciation expense $44,000 General expense $95,000 Provision for bad debt expense $4,500 Cash and cash equivalents $18,000 Transfer to parent corporation ($3,900) Beginning balance, unrestricted net assets $239,400 Accounts payable $11,000 Beginning balance, temporarily restricted net assets $13,000
  • 8. Interest expense $6,000 Labor expense $123,000 Accumulated depreciation $22,000 Long-term investments $20,000 Ending balance, unrestricted net assets $238,000 To prepare for this Assignment: Examine the data from Sharpe Medical Center. Reflect on how you will use this data to develop a Balance Sheet, Profit and Loss Statement, and Cash Flow Statement. Refer to the course text for additional guidance. © 2015 Laureate Education, Inc. Page 2 of 2 The Assignment: Complete a Balance Sheet, Profit and Loss Statement (Statement of Operations), and Cash Flow Statement (Statement of Changes in Net Assets) using the “Week 7 Financial Statement Excel Template”. . Your Assignment is due by Day 7 of Week 7.
  • 9. Balance SheetBalance Sheet (in '000s)For the Year Ended September 30, 20169/30/16Current assets Cash and cash equivalents Net accounts receivable InventoryTotal current assetsGross plant, property, and equipment (less accumulated depreciation)Net plant, property & equipmentLong-term investments Total assets$0Current liabilities Accounts payable Wages payableTotal current liabilitiesLong-term debtTotal liabilitiesNet assets Ending balance, unrestricted net assets Ending balance, temporarily restricted net assetsTotal net assetsTotal liabilities and net assets$0 Profit and Loss StatementProfit and Loss Statement Statement of Operations (in '000s)For the Year Ended September 30, 20169/30/16Unrestricted revenuesPatient revenues (net of contractuals) Provision for bad debt expense Net patient revenues Net assets released from temporary restrictionTotal revenuesOperating expenses: Labor expense General expense Supply expense Depreciation expense Interest expenseTotal operating expensesExcess of revenues over expensesTransfer to parent corporationIncrease in unrestricted net assets$0 Cash Flow StatementCash Flow StatementStatement of Changes in Net Assets (in '000s)For the Year Ended September 30, 20169/30/16Unrestricted net assets Excess of revenues over expenses Unrestricted contributions0 Transfer to parent corporationChange in unrestricted net assets0Temporarily restricted net assets Net assets released from temporary restrictionChange in temporarily restricted net assets0Permanently restricted net assets0Change in permanently restricted net assets0Increase in net assets0Beginning balance, net assetsEnding balance, total net assets$0