Maths, Addmaths and Statistics: Post your doubts here!

[Hassan Kazmi]

Inverse of a matrix:

|a b|
|c d|

is

[1/(ad-bc)] *
|d -b|
|-c a|

where ad-bc is the determinant and its inverse is a simply being multiplied to the matrix.

Order of a matrix is always rows x columns

 

[HarithAslam]

tell me how u did second part. i never knew that magnitude of a unit vector is 1

Vector AB=OB-OA

 

[sweetiepie]

If A - 3 : A = A+6 : A+3) then A is.
A -3/a
B -1/2
C -3/2
D -5/2

answer with all steps

 

[Saad Mughal]

If A - 3 : A = A+6 : A+3) then A is.
A -3/a
B -1/2
C -3/2
D -5/2

answer with all steps

A-3/A = A+6/A+3
A^2-9 = A^2 + 6A
6A = -9
A = -3/2
Answer is C.

 

[sweetiepie]

y= 3x + 4

A EXPLICIT FUNCTION
B IMPLICIT FUNCTION
C CONSTANT FUNCTION
D QUADRATIC FUNCTION

ANSWER WITH REASON

 

[Saad Mughal]

y= 3x + 4

A EXPLICIT FUNCTION
B IMPLICIT FUNCTION
C CONSTANT FUNCTION
D QUADRATIC FUNCTION

ANSWER WITH REASON

Explicit function, since the value of y can be calculated using the independent x.

 

[sweetiepie]

f(X) = x^2 - 1 then f (root3) is

2
3
root 3
root 2

answer with all steps

 

[sweetiepie]

Compound Interest Plz Some One Help Me Its Not In Olevels But Need It For My Sis

Q1. Calculate Compound Interest earned for Rs 5000 invested for 6 years at the rate of 7 % per annum?

Q2. In How Many years a sum of Rs 3000 would amount Rs 4814.07 at 6% compound semi – annually?

Q3. If Rs 300 are deposited at the beginning of each quarter in an account which earns interest rate of 8% compounded quarterly, what will be the amount after the end of 3 and half years?

Q4. In How Many years a sum of Rs 3000 would amount Rs 6130.43 at 6% compounded quarterly?

Q5. Khalid Mahmud borrowed Rs 2500 from Sultan for 3 and half years at simple at 8% per annum. How Much Khalid Mahmud has to pay at the end of the period

Q6. What Is the Interest on Rs.1880.90 for one year @ 5 and half %?

Q7. Find the Compound Interest of Principal amount Rs 50,000 at the rate of 5% for 3 (3/4) years?

Q8. Mr. X wishes to save money to take a trip. If He deposits Rs 150 at the end of each month 24 months in an investment that pays 12% compounded monthly, how much will he have on deposit?

Q9. Mr. Y wants to accumulate Rs. 6000 in 8 years. He makes equal deposits at the end of each 5 months in an account. The rate of Interest is 8% compounded semi-annually. Find the value of each deposit?

Q10. Find the amount of Rs. 250 invested at the end of each of 5 successive years at 6% interest compounded annually?

Plz Answer With All Steps

 

[Saad Mughal]

f(X) = x^2 - 1 then f (root3) is

2
3
root 3
root 2

answer with all steps

f(root 3) = (root 3)^2 - 1
f(root 3) = 3 - 1
f(root 3) = 2

 

[Saad Mughal]

Compound Interest Plz Some One Help Me Its Not In Olevels But Need It For My Sis

Q1. Calculate Compound Interest earned for Rs 5000 invested for 6 years at the rate of 7 % per annum?

Q2. In How Many years a sum of Rs 3000 would amount Rs 4814.07 at 6% compound semi – annually?

Q3. If Rs 300 are deposited at the beginning of each quarter in an account which earns interest rate of 8% compounded quarterly, what will be the amount after the end of 3 and half years?

Q4. In How Many years a sum of Rs 3000 would amount Rs 6130.43 at 6% compounded quarterly?

Q5. Khalid Mahmud borrowed Rs 2500 from Sultan for 3 and half years at simple at 8% per annum. How Much Khalid Mahmud has to pay at the end of the period

Q6. What Is the Interest on Rs.1880.90 for one year @ 5 and half %?

Q7. Find the Compound Interest of Principal amount Rs 50,000 at the rate of 5% for 3 (3/4) years?

Q8. Mr. X wishes to save money to take a trip. If He deposits Rs 150 at the end of each month 24 months in an investment that pays 12% compounded monthly, how much will he have on deposit?

Q9. Mr. Y wants to accumulate Rs. 6000 in 8 years. He makes equal deposits at the end of each 5 months in an account. The rate of Interest is 8% compounded semi-annually. Find the value of each deposit?

Q10. Find the amount of Rs. 250 invested at the end of each of 5 successive years at 6% interest compounded annually?

Plz Answer With All Steps

Q.1
Compound Interest = 5000(1+7/100)^6 - 5000 = Rs. 2503.7

Q.2
Number of periods = ln (4814.07/3000)/ln (1.06) = 8 periods = 4 years.

Q.3
Number of quarters = 4*3 + 2 = 14
Amount = 300(1+8/100)^14 = Rs. 881.2

Q.4
Number of periods = ln (6130.43/3000)/ln (1.06) = 12 periods = 3 years.

Q.5
Amount to be paid = 2500 + (2500*8*3.5)/100 = Rs.3200

Q.6
Interest = 1880.9 * 1.5 * 0.5/100 = Rs. 14.1

Q.7
Compound Interest = 50000(1+5/100)^3.75 - 50000 = Rs. 10038.5

Q.8
Amount = 150(1+12/100)^24 = Rs. 2276.8

Q.9
It's pretty long. Can't do it right now, sorry.

Q.10
Amount = 250(1+6/100)^5 = Rs. 334.5

 

[pikachu]

how to do nov 2011 maths paper 1 (variant 12) question # 28 b(ii)?

 

[Hassan Kazmi]

Okay, given that you have done all the other parts correctly, here's how to do b(ii):

Since F, E and D are collinear, meaning they lie on a straight line, vector FD should be a multiple of vector FE.

You can also understand this by seeing the line BCD in the diagram. Since it is a straight line, BD = kBC where k is a constant.

So, FD = cFE, where c is another constant that I just made up. Remember, c is NOT k.

FE = (-1)p + (1)q
FD = (3 - 4k)p + (2k)q (notice how I have expressed the coefficients of p and q separately)

So, FD = cFE,

3 - 4k = c(-1) ... equation 1
2k = c(1) ... equation 2

Solve simultaneously to get k = 1.5

 

[pikachu]

Thanks Hassan

 

[Hassan Kazmi]

Cheers!

 

[xpfaddict]

plz help me to solve this http://papers.xtremepapers.com/CIE/Cambridge IGCSE/Mathematics (0580)/0580_s11_qp_23.pdf question no 5

 

[Hassan Kazmi]

This is a quadratic graph, right?

So the power of the equation has to be 2, thus, n = 2.

Considering the possibility that this can be a graph other than a quadratic graph, it can have the power of any positive even number, such as 4, 6, 8 etc.

a is basically the coefficient which determines the direction of the quadratic graph. U shape means coefficient is positive and horse-shoe shape means a negative coefficient. So a can be any negative number, such as -1.

 

[zeekay132]

Please can anyone solve me the part b.

 

[pikachu]

what is the method of finding the equation of invariant line in stretch and shearing?

 

[AhsanAfzal]

Compound Interest Plz Some One Help Me Its Not In Olevels But Need It For My Sis

Q1. Calculate Compound Interest earned for Rs 5000 invested for 6 years at the rate of 7 % per annum?

Q2. In How Many years a sum of Rs 3000 would amount Rs 4814.07 at 6% compound semi – annually?

Q3. If Rs 300 are deposited at the beginning of each quarter in an account which earns interest rate of 8% compounded quarterly, what will be the amount after the end of 3 and half years?

Q4. In How Many years a sum of Rs 3000 would amount Rs 6130.43 at 6% compounded quarterly?

Q5. Khalid Mahmud borrowed Rs 2500 from Sultan for 3 and half years at simple at 8% per annum. How Much Khalid Mahmud has to pay at the end of the period

Q6. What Is the Interest on Rs.1880.90 for one year @ 5 and half %?

Q7. Find the Compound Interest of Principal amount Rs 50,000 at the rate of 5% for 3 (3/4) years?

Q8. Mr. X wishes to save money to take a trip. If He deposits Rs 150 at the end of each month 24 months in an investment that pays 12% compounded monthly, how much will he have on deposit?

Q9. Mr. Y wants to accumulate Rs. 6000 in 8 years. He makes equal deposits at the end of each 5 months in an account. The rate of Interest is 8% compounded semi-annually. Find the value of each deposit?

Q10. Find the amount of Rs. 250 invested at the end of each of 5 successive years at 6% interest compounded annually?

Plz Answer With All Steps

comppound interest is not in syllabus?r u sure?

 

[pikachu]

What is the method of finding the equation of the invariant line in stretch and shear?