50+50, Mathematics

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Calculate annual interest rate, 1. What is the present value of a security ...

1. What is the present value of a security that will pay $15,000 in 15 years if securities of equal risk pay 8.9% annually? Round your answer to the nearest cent. 475,858.20

Converting mixed numbers to improper fractions, Q. Converting Mixed Numbers...

Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:

Find the probability of having 53 sundays in leap year , Find the probabili...

Find the probability of having 53 Sundays in (i) a leap year                           (ii) a non leap year       (Ans:2/7 , 1/7 ) Ans:          An ordinary year has 365 da

Show that cos - cos /sin - sin = a/b, A ladder sets against a wall at an ...

A ladder sets against a wall at an angle α to the horizontal.  If the foot is pulled away from the wall through a distance of 'a', so that is slides a distance 'b' down the wall ma

Show that p ( x ) = 2 x3 - 5x2 -10 x + 5 intermediate value , Example   Sh...

Example   Show that p ( x ) = 2 x 3 - 5x 2 -10 x + 5 has a root somewhere in the interval [-1,2]. Solution What we're actually asking here is whether or not the function wi

Undamped - forced vibrations, We will firstly notice the undamped case. The...

We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku  = F(t) It is just a non-homogeneous differential equation and we identify h

Determine the matrix that performs a horizontal compression, (a) Determine ...

(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leavi

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