## O-Level Elementary Math

- Goodluck889
- YellowBelt
**Posts:**24**Joined:**Wed Dec 19,

### Re: Math Qyestion-seeking help

It can't be factorise unless it is a minus(-) signGoodluck889 wrote:Can someone help me with this maths question?

Factorise 144z^2 + 121.

### Re: Math Qyestion-seeking help

This has a pair of complex roots. So, it isGoodluck889 wrote:Can someone help me with this maths question?

Factorise 144z^2 + 121.

(z + 11/12 i)(z - 11/12i), where i = sqrt(-1) is the imaginary number.

This is not in the O level syllabus, only in the A level syllabus.

- student101
- OrangeBelt
**Posts:**30**Joined:**Mon Aug 01,

### Re: O-Level Elementary Math

How to solve this compound interest problem!

A man deposited 2,000 into a bank that paid compound interest of 3.28% compound half yearly. He continued depositing $2,000 into the bank every six months.Calculate the amount of money he had after he made his fifth deposit of $2,000,giving your answer correct to the nearest cent.

I need help to solve this question in an easy way acceptable for O level. Also I have a doubt about whether the interest given(3.28%) is annual interest or half year interest as in the question,it is not mentioned clearly.

Thanks

A man deposited 2,000 into a bank that paid compound interest of 3.28% compound half yearly. He continued depositing $2,000 into the bank every six months.Calculate the amount of money he had after he made his fifth deposit of $2,000,giving your answer correct to the nearest cent.

I need help to solve this question in an easy way acceptable for O level. Also I have a doubt about whether the interest given(3.28%) is annual interest or half year interest as in the question,it is not mentioned clearly.

Thanks

- Volcano123
- OrangeBelt
**Posts:**43**Joined:**Thu Oct 11,

### Re: sec 3 math qn

Can help me with this math question?

The result "lg xy = lg x + lg y" is not always true!

1a) Give a pair of values of x and y such that the result will not hold.

Similarly, give values of x,y and r such that the following results fail:

1b) lg x/y = lg x - lg y

1c) lg x^r = r lg x

I understand the condition that x and y must be positive number for lg to be defined and r must be real number.

can you tell me how to answer the above question.

Thank you

The result "lg xy = lg x + lg y" is not always true!

1a) Give a pair of values of x and y such that the result will not hold.

Similarly, give values of x,y and r such that the following results fail:

1b) lg x/y = lg x - lg y

1c) lg x^r = r lg x

I understand the condition that x and y must be positive number for lg to be defined and r must be real number.

can you tell me how to answer the above question.

Thank you

- Volcano123
- OrangeBelt
**Posts:**43**Joined:**Thu Oct 11,

### Re: sec 3 math qn

Volcano123 wrote:Can someone help me with this question?

thank you

Answer for

Part i) is 2 + 2√2 and Part ii) is 2 ± 2√2

Last edited by jieheng on Sun May 10, 2015 9:51 pm, edited 1 time in total.

- Volcano123
- OrangeBelt
**Posts:**43**Joined:**Thu Oct 11,

- Volcano123
- OrangeBelt
**Posts:**43**Joined:**Thu Oct 11,

### Re: sec 3 math qn

Thank you very much Jieheng for your help .

part i is only the positive answer bcos log of -ve number is undefined.

part ii has both the positive and negative answer.

Thank you once again. You are marvelous.

part i is only the positive answer bcos log of -ve number is undefined.

part ii has both the positive and negative answer.

Thank you once again. You are marvelous.

### Re: sec 3 math qn

Hi Volcano123 'Volcano123 wrote:Thank you very much Jieheng for your help .

part i is only the positive answer bcos log of -ve number is undefined.

part ii has both the positive and negative answer.

Thank you once again. You are marvelous.

You are right .

The working for both parts i) and ii) are the same but the negative answer for part i) should be rejected due to log₂ x