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Cba0112:Basic Business Mathematics Question Paper
Cba0112:Basic Business Mathematics
Course:Certificate In Bridging Mathematics
Institution: Meru University Of Science And Technology question papers
Exam Year:2012
QUESTION ONE (30MARKS)
a. Solve for the variable x in each of the following equation. (i) 32x+ 3 = 27 (3marks) 92-x (ii) 2x2 – 7x – 15 = 0 (3marks) (iii) Log4 (x2 – 49) – log4 (x + 7) – 1 = 0 (2marks) b. Solve the following system of equationsType equation here.
7?? + ?? = 13 ?? - 4?? - 6 = 0
(3marks) c. Make x the subject of the formula y = ?? ??2 - 5 ?? (4marks) d. How long will it take Sh.50,000 to amount to Sh75,000 under simple interest at the rate of 10% p.a? (3marks) e. Kimathi invests some money which earns compound interest every year. His investment amounts to Sh.530 at the end of the first year and Sh.595.50 at the end of the 3rd year. Find the interest rate of the investment and the initial amount of the investment. (4marks)
f. From the table exchange rates given below, find the exchange rate between the Ush and the US$.
(2marks) g. Rationalize the denominator in the expression 3 + 5v2 (3marks)
5 - 2v3
h. Compute the matrix product AB given the matrices
A=
1 3 2 5 B =
6 - 4 8 7 (3marks)
QUESTION TWO (10MARKS)
a. Solve for the variable x in each of the following equations. (i) 22x – 12(2x) + 32 = 0 (4marks) (ii) 6x2 + 10x – 4 = 0 (3marks) b. Simplify the expression log256 – log16 log16 + log64 (3marks)
QUESTION THREE (10MARKS)
a. P is partly constant and partly varies as the square of Q. Given that P = 10 when Q = 2 and P = 228 when Q is 6, find the value of P when Q= 12. (5marks) b. Compute the value of AB given the matrices A and B below
?? =
1 2 6 4 - 5 3 ?? =
4 1 -1 3 2 5 (5marks)
QUESTION FOUR (10MARKS)
a. The sum of the first eleven terms of an A.P is 450 while the sum of the first seven terms of the A.P is 150. Find the first term and the common difference of the sequence. (5marks) b. Find the value of the variables in the following system of simultaneous equations.
3?? + ?? + ?? = 5 5?? + 2?? + 2?? = 9 4?? - 3?? - 2?? = 2 (5marks)
US$ Ksh80 Ksh0.0431 Ush1 Ush2.05 Tsh1
QUESTION FIVE (10MARKS)
Calculate the percentage error arising due to the following computations.
a. 2.5 + 7.25 (2marks) b. 15.75 – 1.5 (2marks) c. 4.125 x 8 (3marks) d. 480.5 15.25 (3marks)
QUESTION SIX (10MARKS)
a. The hire purchase price of an item is Ksh.13,700. Jane bought the item on hire purchase and paid Ksh.6,000 as down payment. She paid the balance in 18 equal monthly installments. How much money did she pay per month? (4marks) b. An estate agent charges commission on the sale of assets as follows 5% on the first Ksh500,000 3% on the next Ksh250,000 2% on any extra sale At one sale the agent received Ksh35,500 as commission. Calculate the value of the sale and amount received by the owner. (6marks)
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