Math Answers

An effective rate of 29.61% corresponds to a nominal rate,compounded weekly,of?

The equation for a distance, s(m), travelled in time t(s) by an object starting with an initial velocity u(ms-1) and uniform acceleration a(ms-2) is: 𝑠=𝑢𝑡+12𝑎𝑡2 The tasks are to: a) Plot a graph of distance (s) vs time (t) for the first 10s of motion if 𝑢=10𝑚𝑠−1 and 𝑎=4𝑚𝑠−2. b) Determine the gradient of the graph at 𝑡=2𝑠 and 𝑡=6𝑠. c) Differentiate the equation to find the functions for i) Velocity (𝑣=𝑑𝑠𝑑𝑡) ii) Acceleration (𝑎=𝑑𝑣𝑑𝑡=𝑑2𝑠𝑑𝑡2) d) Use your result from part c to calculate the velocity at 𝑡=2𝑠 and 𝑡=6𝑠. e) Compare your results for part b and part d.

a curve is such that d²y/dx²=12x-12. find the equation at point (2,9)?

(2xy-y^2+2x) dx-(2xy-x^2-2y) dy=0?

Xander writes textbooks that sell for x dollars. He received a bonus of $2,500 for signing a contract, and he receives 8% commission on each book sale. Express the total amount of income Xander earns from selling y books algebraically.

if the ratio of 4 to b is 5 to 7, then b=?

given that n is a positive even integer, 5n + 4 will always be divisible

A. 5n

B.5

C. 2

D. 4

2,4,5,6,7,8,9,10,12,14

The function sin(x) can be written as a Taylor series by:

Write a user-defined function file that calculates sin(x) by using the Taylor series. For the function name and arguments use y = Tsin(x,n). The input arguments are the angle x in degrees and n the number of terms in the series. Use the function to calculate sin(150 ) using R no of terms (where R is last digit of registation no; use 10 if last digit zero & use 11 if last digit is 1)

The following data is given Age (in years): Below 10, below20, below30, below40,below50, below60, below70, below 80 and No. of persons: 2,5,9,12,14,15,15.5,15.6

Find mean , median and mode.