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Math Assignment

School of Management MN1507 MATHS AND STATISTICS 1
Individual Coursework Assignments 1) Individual Coursework Assignment 1
This assignment is worth 35% of the overall module mark.
Coursework Brief
For this coursework you are required to solve a series of mathematical problems. Your solution should be word-processed and submitted electronically.
Roots of equations;
1. Find the roots of the following equations.
. (a) 3×2+5x+2 = 0 [5 marks]
. (b) x2+6x+3 = 0 [5 marks]
2. What is the gradient and the vertical intercept of the following expressions?
. (a) g(z) = 6z + 4 [6 marks]
. (b) ps = 8.4qs + 2.4 [6 marks]
3. The supply curve for a product is given by Qs =50–5P 
and its demand curve by
P = (Qd – 5)/10
where Qs the quantity supplied and Qd the quantity demanded at a price P. Calculate the equilibrium price. [12 marks]
4. What is the value of t in each of the following expressions?
. (a) 5e-0.6t = 60
. (b) 500 = 800 (1 – e0.7t)
5. Find the sum of the; (a) first 10 terms of
[7 marks] [7 marks]
1⁄4, 3⁄4, 5/4, 7/4,….. [7 marks]
(b) first 8 terms of 1/3, 1/9, 1/27, 1/81,…. [7 marks]
6. (a) What is the Annual equivalent percentage rate of interest if the annual interest rate is 8% and interest is compounded monthly? (assume that all months consist of 365/12 days). [8 marks]
(b) Calculate the market price of a bond of redemption value £100 and coupon 8% if the prevailing interest rate is 6.5%. [8 marks]
7. (a) The price of a desktop computer in 2012, 2013, 2014 and 2015 is £800, £750, £600 and £450 respectively. Construct a price index with a base value of 1000 and with a reference year of 2013. [6 marks]
(b) The data in the table below shows the number and price per journey of different types of transport used by a person in 2014 and 2015.
Journey Type
Journeys for 2014
Journeys for 2015
Price per Journey in £

Number of Journeys
Price per Journey in £

Number of Journeys




Calculate the Laspayre’s index and the Passche index for the data, and suggest reasons for the difference between the two numbers calculated.
[8 marks for each index produced, so 16 marks for the two]

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