Math C

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Fbcuvn

Mathematics

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20140515212800math_c.jpg

we should use a Microsoft Excel for this one.

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another one

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another

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and last one.

This is my assignment, I'm in year 11. Can't answer them :(

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ear 11 Mathematics C Assignment 1 Sequences and Series Write a Report The statement should include three paragraphs with an introduction, body and conclusion justifying mathematically your findings. Task 2: write a brief statement to explore the liquidity of the company allowing decisions to be made regarding; ✓ annual bank deposits required for an accumulated wealth ✓ accumulated wealth collected from annual deposits M&P Level 4 ABCDE Question 10 A company must always have a high level of liquidity whereby assets can be easily turned into cash. To improve their current level of liquidity Assembly Systems Pty Ltd wishes to invest yearly payments or an annuity into a bank account. If they can receive an annual interest rate of r % p.a. and they invest $a per year, derive a formula that will calculate the accumulated value after n years. You must derive a statement which represents this situation and prove that it is correct for all possible values. Using acceptable mathematical reasoning and logic prove the sum of your annuity is correct. Provide a supplement in your report which allows company directors to peruse a table so they can calculate the expected return depending upon the interest rate and the projected time of investment up to and including 10 years. Use the following table as a guide. Compounded values of $1 5% 7.5% 10% 12% Period 1% 1 2. 3 Provide the company with some examples so they can see clearly and concisely use the table and apply it to formula to complete estimates for; da the total value or sum of a regular annual deposit into an account. the required annual payment to receive a total value or sum at the end of a certain period. Year 11 Mathematics C Assignment 1 Structures and Patterns Write a Report The report will generally include an introduction, background information, analysis of results and data, discussion and conclusions, and, when necessary, appendixes and a bibliography and/or reference list. Task 3: write a report to investigate the motion of the following object; ✓ Bouncing ball ✓ Oscillating spring. Question 11 M&P Level 3 A B C D E Your report forms a preliminary study into the feasibility of a possible suspension mechanism which your company is presently designing. This mechanism will regulate a series of hydraulic and electronic switches which control the operation of the suspension system. It has been ordained that the system must follow the natural frequencies or motions of a naturally bouncing ball or oscillating spring. Record the motion of each phenomenon with a digital camera and analyse the motion using Logger-Pro 3.3. Your analysis must record each successive bounce height and amplitude from the equilibrium position for the ball and pendulum respectively. For quality insurance reasons your report must include the following information; th the general formula for the n" term for bounce height and amplitude, the sum to an infinite number of terms for accumulated bounce heights and amplitudes, development of a possible mathematical model to simulate the timing mechanism for an automated assembly line. As you refine your mathematical model for the proposed timing system using the motion of each "object", justify the reasonableness of results and state the strengths and limitations of each model. Ensure you identify assumptions and their associated effects as you idealise your investigation and choose the 'best' timing system. Year 11 Mathematics Assignment 1 Structures and Patterns K&P Question 9 5 Marks In 2010 the company modelled the production of suspension systems using the equation P = A(1.04)»4. That year the state government introduced a policy to slow its productivity. The new production model is described by the following equation, P = A(b)"- In both equations, P is the predicted production and n is the number of years after 2010. The graph shows PA the two predicted production curves. P-A11.04)" 8 000 000 7 000 000 8 000 000 РЕАЦЬ" - 5 000 000 Production 3 000 000 - 2 000 000 1 000 000 0 10 (2020) 20 (2030) 30 (2040) (2010) Years a) Use the graph to find the predicted production output in 2030 if the government policy was not introduced. b) In each of the two equations given, the value of A is 3 000 000. What does the A represent? c) Explain why 1.05 is not a suitable estimate for b. d) Calculate an appropriate value of b in the equation P= A(b)-2 e) The company was aiming to have a production of 7 000 000 in 2050. Does the model indicate that the company will achieve this goal? Justify your answer with suitable calculations. Year 11 Mathematics Assignment 1 Structures and Patterns K&P Question 9 5 Marks In 2010 the company modelled the production of suspension systems using the equation P = A(1.04)»4. That year the state government introduced a policy to slow its productivity. The new production model is described by the following equation, P = A(b)"- In both equations, P is the predicted production and n is the number of years after 2010. The graph shows PA the two predicted production curves. P-A11.04)" 8 000 000 7 000 000 8 000 000 РЕАЦЬ" - 5 000 000 Production 3 000 000 - 2 000 000 1 000 000 0 10 (2020) 20 (2030) 30 (2040) (2010) Years a) Use the graph to find the predicted production output in 2030 if the government policy was not introduced. b) In each of the two equations given, the value of A is 3 000 000. What does the A represent? c) Explain why 1.05 is not a suitable estimate for b. d) Calculate an appropriate value of b in the equation P= A(b)-2 e) The company was aiming to have a production of 7 000 000 in 2050. Does the model indicate that the company will achieve this goal? Justify your answer with suitable calculations.
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Just the thing I needed, saved me a lot of time.

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