Mathematics for Business

Assignment 1

Question 1

(a) Calculate the value of the following expressions, showing all your calculations:

(i) (2 13+4

16 )÷ 1

58

(ii) (6 15−3

310 )× 2

12

(iii) 10 x ([18 ÷ 30]) + ([2 x 3] x4) ÷ 30 [8 marks]

(b) Given that, x = 1, y = -1 and z = 2, calculate the values for the following expressions:

(i) (x – y + z) (2x – 2y + 3z)

(ii)( X−3Y )

(4 X−6 Z )[7 marks]

(c) Find the values for x

(i)2 x3

=24+6 x

(ii) x21 =15−x

(iii) 18+x=5 x−2 [5 marks]

[Total 20 marks]

Question 2

(a) Using a calculator, work out the following, showing all your calculations.

(i) (251+110

1 )× 58

(ii) (441 –

78 )÷ 42

1

(iii) √42 – 23−4 [7 marks]

(b) Express 0.125 as fraction in its simplest form.

(i) Increase 557.5 by 12% and give the answer correct to the nearest whole number,

(ii) Express 3

125 as percentage.

(iii) Express 0.00788 in standard form, A x 10n, where 1≤ A < 10 and n is an integer.

(iv) Write 7.88112 x 104 in decimal form. [8 marks]

(c) Carry out the following calculations, giving your answer correct to the number of significant figures and decimal places as shown in brackets.

(i) (889.3)3 x 0.00516 (3 s. f.), where s. f. means significant figures.

(ii) (889.3)3 x 0.00516 (2 d. p.), where d. p. means decimal places.

[5 marks]

[Total 20 marks]

Question 3

(a) Calculate the simple interest on N$25,000, invested at a bank for 5 years at the rate of 8.5% per annum (per year). [5 marks]

(b) A sum of N$1000 was deposited for 5 years in an account that pays interest rate of 10%, compounded quarterly.

(i) Calculate how much money will be in the account after this period of time?

(ii) How much will be earned in interest during the investment period?

(iii) How much would be in the account, if at the same rate of 10% was compounded semi-annually. [15 marks]

[Total 20 marks]

Due date 20 February, 2015