An amount of Rs. 50,000 is put into three investments at the rate of 6%,7% and 8% per annum respectively. The total annual income is Rs. 3,580. If the combined annual income from the first two investments is Rs. 700 more than the income from the third.

i) Represent the above situation by matrix equation and form linear equations using matrix multiplication.

ii) Is it possiblt to solve the system of equations so obtaines using matrices.

Let x = 6% amt (1st investment)
Let y = 7% amt (2nd investment)
Let z = 8% amt (3rd investment)
:
The total invested equation:
x + y + z = 5000
:
The total annual income equation:
.06x + .07y + .08z = 358
:
It says,"The income from the first two investments is $70 more than the income from the third investment." equation for this:
.06x + .07y = .08z + 70
.06x + .07y - .08z = 70
  • -4
I have full answr to this question but i can't able to write the whole
  • 1
What are you looking for?