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Question 7 Work out the following:

a) 3/4 - 7/9 + 2/3= 69/108 =


Question 6 a) As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings take advantage of the offer and sign up for total amount of £210. What were the total savings made? Show your working.


Illustrate the graph of the given one-to-one


1. f(x)=3x-4 2. f(x) = 5x+3


3. f(x)=7x-5


4. f(x)=1-2


5. f(x)=123


6. f(x)=x+5


(cos(3x)+isin(3x))/(cos(x)+isin(x))


A company received an invoice for $3450 dated March 23, terms 2/10.

What payment must be made on March 31 to reduce the debt by $1500?




Tim is 5 years older than Jean.Their ages in years added up to 25.How old is Tim and Jean?

A CNC machine centre costs £100,000. Its value depreciates at X% per annum.

(a) What will be its value after Y years?

(b) How long will it take to have a value of £50,000?



A gopher has dug holes in opposite corners of a rectangular yard. If the yard is 7 meters by 7 meters, how far will the gopher have to run to get from one of its holes


A reversible chemical reaction combines A and B to produce C and D according to

A+2B\underset{k_2}{\overset{k_1}{\rightleftharpoons}} C+ D. At equilibrium, A, B and C are present in concentrations 1 M, 0.05 M, 500 mM respectively. If the rate constants are k1=2M−2s−1 k1=2M−2s−1 and k2 =1M−1s= −1 k2=1M−1s−1, what is the concentration of D in M at equilibrium? Give the result to three significant figures.



1) 1050 dollar is shared between A,B,C so that B receives 50% more than A, and C receives 25% more than B. How much does each receive?

2) A tank whose base is 2.25m square contains 9000 litres of water. Find the depth of the water.


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