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raghav buys a shop for rs120000he pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of rs5000 each
linear systems with three variablesit is going to be a fairly short section in the sense that its actually only going to contain a couple of examples
find the value of x if 2x 1 x2 x 1 3x2 - 3x 3 are consecutive terms of an apans a2 -a1 a3 -a2rarr x2 x 1-2x - 1 3x2 - 3x 3-
find the sum of all 3 digit numbers which leave remainder 3 when divided by 5ans 103 108998 a n-1d998rarr103 n-15998rarrn180s180
there is a third method that well be looking at to solve systems of two equations but its a little more complicated and is probably more useful for
a man arranges to pay a debt of rs3600 in 40 monthly instalments which are in a ap when 30 instalments are paid he dies leaving one third of the debt
find the sum of first 40 positive integers divisible by 6 also find the sum of first 20 positive integers divisible by 5 or
now lets move into the next technique for solving systems of equations as we illustrated in the example the method of substitution will
example solve following systemsa 3x - y 7 2x 3 y 1solutionthus it
if the pth qth amp rth term of an ap is x y and z respectively show that xq-r yr-p zp-q 0ans pth term rarr x a p-1 dqth term rarr y
methods for solving systemswe will be looking at two methods for solving systems in this sectionmethod of substitutionthe first method is known as
find the 20th term from the end of the ap 3 8 13253ans 3 8 13 253last term 253 a20 from end l - n-1d253 - 20-1 5253 - 95
example if 8 times1014 joules of energy is released at the time of an earthquake what was the magnitude of the earthquakesolutionthere
arithmetic progressions one of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a
earthquake intensitycommonly the richter scale is utilized to measure the intensity of an earthquake there are several different ways of computing
example the growth of a colony of bacteria is provided by the
if the roots of the equation a-bx2 b-c x c - a 0 are equal prove that 2abcans a-bx2 b-c x c - a 0tp 2a b cb2 - 4ac 0b-c2 - 4a-b c -
there are several quantities out there within the world which are governed at least for a short time period by the
a pole has to be erected at a point on the boundary of a circular park of diameter 13m in such a way that the differences of its distances from two
example we are investing 100000 in an account that earns interest at a rate of 75for 54 months find out how much money will be in the account ifa
in this last section of this chapter we have to look at some applications of exponential amp logarithm functionscompound interestthis first
example solve following equations2 log9 radicx - log9 6x -1 0solution along with this equation there are two logarithms only in the equation thus
a teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over when he increased
the positive value of k for which x2 kx 64 0 amp x2 - 8x k 0 will have real roots ans x2 kx 64 0rarr b2 -4ac gt 0k2 - 256 gt 0k gt 16 or k
now we will discuss as solving logarithmic equations or equations along with logarithms in them we will be looking at two particular types of