Is there anyine out there that could help me with and explain to me the following Questions to get me going.
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
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