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Why do investors prefer to invest in ordinary shares as opposed to fixed bonds? 10marks
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.4.
Independently, she then decides whether or not to buy a CD, with a probability of 0.3 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
An electron is placed midway between two parallel horizontal conducting plates 2.0 cm apart in air. What must be
the potential difference between the plates for the electrons to remain stationary? What
must be the sign of the charges in each plate?
What the difference between the active portfolio and passive portfolio? 4marks
Which bond will sale higher between a callable bond and a non callable bond given they have same coupon rate? 4marks
Given that utility function=10x1^0.6,x2^0.4, where U=f(x1,x2) given Px1=10 ,px2=20, and Px3=1000 are units of proces x1 and x2,while B is money income.Required,Interpret the utility function,Construct budget constraint function,derive demand curvea for x1 and x2and prove they are actually demand curves then compute maximum utility given the income and prices of x1 and x2
Use any appropriate method in finding the indicated solution of the following differential
equations.
[2𝑥𝑦 cos(𝑥2) − 2𝑥𝑦 + 1]𝑑𝑥 + [𝑠𝑖𝑛(𝑥2) − 𝑥2]𝑑𝑦 = 0
Box A box B both contain the numbers 1,2,3 and 4 contrast the probability mass function and draw the histogram of the sum when one number from each box is take at a time with replacement
Determine the potential at a point 0.50 m (a) form a +20 μC point charge, (b) form a -20 μC point charge.
2.83 g of a sample of haematite iron ore [iron (III) oxide, Fe2O3] were dissolved in concentrated hydrochloric acid and the solution diluted to 250 cm3. 25.0 cm3 of this solution was reduced with tin(II) chloride (which is oxidised to Sn4+ in the process) to form a solution of iron(II) ions. This solution of iron(II) ions required 26.4 cm3 of a 0.0200 mol/dm3 potassium dichromate(VI) solution for complete oxidation back to iron(III) ions.
(a) given the half–cell reactions
(i) Sn4+(aq) + 2e– ==> Sn2+(aq)
and (ii) Cr2O72–(aq) + 14H+(aq) + 6e– ==> 2Cr3+(aq) + 7H2O(l)
deduce the fully balanced redox equations for the reactions
(i) the reduction of iron(III) ions by tin(II) ions
(ii) the oxidation of iron(II) ions by the dichromate(VI) ion
(b) Calculate the percentage of iron(III) oxide in the ore.
