Math Answers

Why normal curve is useful in problem solving. Give a real life situation as your own example?

The value of a delivery van depreciates at the rate of 15% per year. Show that

annual depreciation follows a geometric progression, and use this progression

to determine the value of the van after three years, if it is purchased for $4500?

Find the multiplicative inverse of 197 modulo 3000. Highlight each step clearly.

Use the Euclidean algorithm to find the Greatest Common Divisor of:

a. 1819 and 3587 b. 42823 and 6409

Use factor trees to find the GCF and LCM of the following:

a. 24 and 60 b. 150, 210 and 375

the pulse rate adult men approach a normal distribution, ith a mean 80bpm(beats per minute) and a standard deviation of 5 bpm. what percent of adults have a pulse rate of more than 92 bpm?

1. Show that ¬p → (q + r) and q→ (p V r) are logically equivalent.
2. show, by the use of the truth table (truth matrix), that the (p v q)v[(p¬)ʌ(q)] is a contradiction.

If ln=int_zero to infinity e^-x sin^n (x)dx,prove that (1+n^2)ln=n(n-1)ln-2 for n≥2.

x = 82 , M = 75 , Ó = 15

Three years ago Lilly borrowed R10 000 from Faith on condition that she should pay her back two years from now. She also owes Faith R6 000 payable five years from now. The appliable interest rate for both transactions is 13,75% per year,compounded every six months. After considering her payback shedule, Lilly asks Faith if she an pay her R9 000 now and the rest in four years' time. She agrees on ondition that the new agreement will run from now and that an interest rate of 16,28% per year, compounded monthly,

will be appliable from now. The amount that Lilly will have to pay Faith four years from now is