Q. 19 A4.6( 101 Votes )
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 two types of bonds. If the trust fund must obtain an annual total interest of:
(a) Let Rs x be invested in the first bond.
Then, the sum of money invested in the second bond will be Rs. (30000 – x).
It is given that the first bond pays 5% interest per year, and the second bond pays 7% interest per year.
Thus, in order to obtain an annual total interest of Rs. 1800, we get:
⇒ 5x + 210000 -7x = 180000
⇒ 210000 -2x = 180000
⇒ 2x = 210000 – 180000
⇒ 2x = 30000
⇒ x = 15000
Therefore, in order to obtain an annual total interest of Rs. 1800, the trust fund should invest Rs. 15000 in the first bond and the remaining Rs. 15000 in the second bond.
Rate this question :
If then the value of x + y isMathematics - Exemplar
Solve for x and y:
Mathematics - Exemplar
Which of the following statements are True or False
If A and B are two square matrices of the same order, then AB = BA.Mathematics - Exemplar
If AB = BA for any two square matrices, prove by mathematical induction that (AB)n = An Bn.Mathematics - Exemplar
If and , then verify (BA)2 ≠ B2A2.Mathematics - Exemplar
Compute the following sums:
RD Sharma - Volume 1
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 isMathematics - Exemplar
The matrix is aMathematics - Exemplar
Show by an example that for A ≠ O, B ≠ O, AB = O.Mathematics - Exemplar
If , and , verify:
(i) (AB) C = A (BC)
(ii) A(B + C) = AB + ACMathematics - Exemplar