Business Mathematics 1 (MGTC3204)
Higher Institute of Commerce and Management (HICM)
Semester: Second Semester
Level: 300
Year: 2019
School Faculty DEPARTMENT:ALL
Academic year 2018/2019
Level 200
Level 200
Course code: Course Title: Resit Business Maths one
Date: Hall Time 2hrs
Instructions Answer any three Questions But Question four is 30mark
Question One
An investor places200,000frs in a financial institution with the objective of raising 1,500,000frs CFA . He
needs this amount to start a small scale business. With an annual interest rate of 12.5 per rent, how long
will he have to wait before his goal is realized, if interest is compounded: (i) annually, (ii) quarterly, (iii)
weekly and (iv) continuously? (20 marks)
Question Two
A trader uses q units of goods at price p = 400 - 0.02q. The total cost of producing q units is C = 100q +
1000. How many item should the trader sell in order to maximize profit, what price should be changed
to maximize profit and what is the maximizing profit? (20marks)
Question Three
If a company makes a loss of –I5 millions in 2010, business analysts predict that the company will make a
loss of -57millions in 2031, also it is observed by business analysts that the company’s losses are in an
arithmetic progression. For better business policy, it is required to know the losses of the other years.
What were the losses made by this company for the periods 2015 to 2020? (20marks).
Question Four
Given the functions p(x) = x2 and q(x) = x + 1. Verify if the functions are injective, surjective and hence
bijective.Compose the two functions to obtain q(p(x)) and p(q(x)). Are these two composed functions
bijective? Solve theresulting quadratic equations q(p(x))= and p(q(x))=0 (20marks).
If 50 000 frs is invested on Jan 1st, 2008 at 8% per annum. Interest is only paid on Jan 1st of each year.
After how many years will the investment be worth:
a) 75 000 frs (5marks) b) 100 000 frs (5marks)NB: use laws of indices and logarithms to solve
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