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$26,000 is spended for two years. In the first year it gets interest at 8.3% p.a. compounded semi annually. In the same year the rate of interest changes to 7.5% p.a. compounded daily (Suppose 365 days in a year).
(i) Find the accumulated amount at the finish of 2 years. (ii) Find the interest rate p.a. compounded annually, that would give the similar accumulated value at the end of 2 yrs.
A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after which he completes the whole journey of 30km at half speed in 5 hours. If the bre
Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans: a = 100 APQ a 1 + a 2 + ....... a 6
show that one of the straight lines given by ax2+2hxy+by2=o bisect an angle between the co ordinate axes, if (a+b)2=4h2
Solve the inequation: |x|
Squeeze Theorem (Sandwich Theorem and the Pinching Theorem) Assume that for all x on [a, b] (except possibly at x = c ) we have, f ( x )≤ h (
A line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.
If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.
The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m 3 . Find the rate of change of the volume of grains in the silo from first pri
Geometric Applications to the Cross Product There are a so many geometric applications to the cross product also. Assume we have three vectors a → , b → and c → and we make
Equations of Planes Earlier we saw a couple of equations of planes. Though, none of those equations had three variables in them and were actually extensions of graphs which we
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