Algebra Answers

The amount A (t), in grams, of radioactive material in a sample after years, is given

by A^t=80(2^(-t/100)

(a) Find the amount of material in the original sample /1mrks

(b) calculate the half-life of the material. (The half-life is the time taken for half of

the original material to decay).

The first terms of an A.P and G.P are each 2/3. Their common and difference and

common ratio are each X and the sum of their first three terms are also equal.

Find the two possible values of X

Simply and express your answer in a form that is free of radicals in the denominator

3/2+√3-4/1-√2

The first term of a geometric progression is √ 3+1 and the sum of the first three

terms is 3( √ 3-1) . Find the common ratio of the progression.

(4marks).

A person's height is measured to be 67.50 in.what is this height in centimeters

solve the following quadratic equations. Leave surds in your answers.

a) (x-3)^2-3=0

b) (3x-7)^2 =8

2a) x^4-5x^2+4=0

b) x-8=2squareroot x

Equation x^3 + 27x^2 + p = 0 has three different real solutions that form an arithmetic progression. Find the smallest value of parameter p.