Question 1: Simplify 125^1/3*5^2/5^3*25^2/5

step 1 ) \sqrt{125}*5^2/5^3*\sqrt{5}

step 2 ) 5*25/5^3(25^1/2)^5

step 3 ) 5(25)/5^3(5)^5

step 4 ) 125/125(125)

= 1/125

the answer I get is =1/125

Question 2: Evaluate (1.5*10^3)x(6*10^10)x(2*10^-4)/(4.5*10^3)x(2*10^3) Give the answer in the form a*10^b where 1.00<a<9.99

I do not know how to start or do this ?

Question 3: If X=(0.98)^3 and Y=(1.01)^4 use the binomial theorem to calculate Z=X+Y to three decimal places.

Question 4: A person has a sum of €6000 to invest.

i) If he invests the money at a rate of 4% compound interest p/a calculate the value of the investment at the end of the fouth year ?

This is the only answer I could get P=(1+R)^n

P=6000

R=0.04

n=4 and the answer is = 7019.15

The rest I don't get i know it would involve a log, but what is where ? LogxY

ii) As an alternative he has been offered an investment whereby the money will amount to 7500 after 5 years. Calc the effective cpmpound interest rate in this inveestment ?

P=7500

R=?

n=5

7500=(1+R)^5

7500=5+5x

7500/5=5+x

1500-5=x

1495=x (somehow I don't think this is the correct answer) HELP :roll:

iii) How long would the original investment, at a rate of 4% (0.04) compound interest p/a have to be, invested for it to double in value ?

P=12000

R=0.04

n=?

12000=(1+0.04)^? (don't know see the bank manager)

Cheers for any help and moral support !! I need it !!

I have more questions about matrices ... just need to get this out the way first ... if you want you can also chat to me via MSN ....

Rohan