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Assessment Task:Mathematical and statistical exercises
Submission Date and Time:Displayed below (UNE Local Time)
Monday, 28 March 2022, 11:59 PM
Value (Weight):15% of the total assessment
Word Length:Mathematical and statistical exercises
Learning Outcome(s):1, 2, 3

Instructions in Mathematical and Statistical Exercises Assignment with Punjab Assignment Help

There are 5 questions.  Your answers must be set out neatly and concisely and should be accompanied by any associated workings, so that, if necessary, your answers can be verified. If you provide your workings, then we can also give you partial credit for answers that are incorrect. The marking of each question will be on the basis of logical structure and method (70%), the accuracy of results (20%) and presentation (10%).

Question 1 (30 marks)

  1. Appreciation.  A house purchased for $450,000 is expected to double in value in 15 years.  Find a linear equation that describes the house’s value after t year.
  2. Revenue Equation. A small business predicts its revenue growth by a straight-line method with a slope of $50,000 per year.  In its fifth year, it had revenues of $500,000. Find a function that describes the relationship between revenues R and the number of years T since it opened for business.

Question 2:  Marketing (15 marks)

The demand function for a manufacturer’s product is p = 180 – 0.005q, where p is the price (in dollars) per unit when q units are demanded per day.  Find the level of production that will maximize the manufacturer’s total revenue and determine this revenue.

Question 3: Population Growth (15 marks)

The projected population of a city is given by P = 70,000e0.05twhere t is the number of years after 2010.  Predict the population for the year 2025.

Question 4: Investment (20 marks)

Currently, Robert has $300,000 to invest for 18 months.  He has two options to choose from:

  1.  Invest the money in a savings account earning interest at the annual rate of 4% compounded monthly.
  2.  Invest the money in a certificate of deposit (CD) paying interest at the annual rate of 4.1% compounded quarterly;

Which is the better choice?

Question 5: Loan (20 marks)

Michael is to mortise a $50,000 car loan by making equal payments at the end of each month for 5 years.  If interest is at 7.2% compounded monthly, find:

  1. The amount of each payment.
  2. The interest and the principal repaid in the first payment;
  3. The principal remaining after 2 years.

Criteria in Mathematical and Statistical Exercises Assignment with Punjab Assignment Help

There are 5 questions. Your answers must be set out neatly and concisely and should be accompanied by any associated workings, so that, if necessary, your answers can be verified. If you provide your workings, then we can also give you partial credit for answers that are incorrect. The marking of each question will be on the basis of logical structure and method (70%), the accuracy of results (20%) and presentation (10%).

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