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A trust fund has Rs 30,000 that must ...

A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the tw

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The correct Answer is:
(a) Rs. 15,000, Rs. 15,000 (b) Rs. 5,000, Rs. 25,000
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A trust fund has Rs. 30000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30000 among the two types of bonds. If the trust fund must obtain an annual total interest of (i) Rs 1800 (ii) 2000.

A trust has Rs. 60,000 that must be invested in two different types of bonds. The first type of bond pays 10% interest per year and the second type pays 12% . Using matrix multiplication, determine how to invest Rs. 60,000 into two types of bonds so that the total annual interest received is Rs. 6400.

A trust fund has Rs. 35,000 is to be invested in two different types of bonds. The first bond pays 8% interest per annum which will be given to orphanage and second bond pays 10% interest per annum which will be given to an N.G.O. (Cancer Aid Society). Using matrix multiplication, determine how to divide Rs. 35,000 among two types of bonds if the trust fund obtains an annual total interest of Rs. 3,200. What are the values reflected in this question ?

A trust invested some money in two type of bonds. The first bond pays 10% interest and second bond pays 12% interest. The trust received Rs. 2,800 as interest. However, if trust had interchanged money in bonds, they would have got Rs. 100 less as interest. Using matrix method, find the amount invested by the trust. Interest received on this amount will be given to Helpage India as donation.Which value is reflected in this question?

A trust invested some money in two types of bonds.The first bond pays 10% interest and second bond pays 12% interest.The trust received Rs.2,800 as interest.However,if trust had interchanged money in bonds,they would have got Rs.100 less as interest.Using matrix method,find the amount invested by the trust.

MODERN PUBLICATION-MATRICES-Exercise 3 (d) Long Answer Type Questions I
  1. If A=[3 1-1 2] , show that A^2-5A+7I=O . Use this to find A^4

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  2. Let A ={:[(2,0,1),(2,1,3),(1,-1,0)] and f(x) = x^(2) -5x + 6 , find f(...

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  3. यदि A= [[2,0,1],[2,1,3],[1,-1,0]], तब A^(2) - 3A + 2I का मान ज्ञात क...

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  4. if A=[{:(3,1),(-1,2):}],show that A^(2)-5A+7I=0.

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  5. If M=[(7,5),(2,3)], then verify the equation : M^(2)-10M+11I(2)=O

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  6. If A+l={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40l=0

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  7. If A=[1 0 2 0 2 1 2 0 3] , prove that A^3-6A^2+7A+2I=0

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  8. If A=[{:(-1,2),(3,1):}], find f(A), where f(x)=x^(2)-2x+3.

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  9. If A=[(3,1),(-1,2)], then find f (A), where f(x)=x^(2)-5x+7.

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  10. If A=[1 0-1 7] , find k such that A^2-8A+k I=O .

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  11. If A A=[3-2 4-2]and I=[1 0 0 1], find k so that A^2=k A-2I.

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  12. If A=[(0,3),(-7,5)] and I=[(1,0),(0,1)], then find 'k' so that k^(2)=5...

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  13. Solve system of linear equations, using matrix method, x y" "+" "2...

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  14. Let A=[0 1 0 0]show that (a I+b A)^n=a^n I+n a^(n-1)b A, where I is t...

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  15. A matrix X has a+b rows and a+2 columns while the matrix Y has b+1 ...

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  16. Let A=[(-1,-4),(1,3)], prove by Mathematical Induction that A^(n)=[(1-...

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  17. If A=[[costheta,-sintheta],[sintheta,costheta]] then show that A^n = [...

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  18. If A=[costhetaisinthetaisinthetacostheta], then prove by principal of ...

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  19. A trust fund has Rs 30,000 that must be invested in two different t...

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  20. There are 2 families A and B. There are 4 men, 6 women and 2 children ...

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