maths
posted by edward .
an amount of Rs 5000 is put into three/investments at the rate of interest of 6%, 7%, 8% per annum respectively; the total annual income is Rs 35800. If the combined income from first two investments is Rs 70 more than the income from the third. Find amount of each installment by matrix method.

If the amounts are x,y,z then
x+y+z = 5000
.06x + .07y + .08z = 3580
.06x + .07y = .08z + 70
I assume the interest is 358.00, not 35800!
(x,y,z) = (1000,2200,1800)
Respond to this Question
Similar Questions

math
1. Investment. Part of $25,000 is invested at 10 percent, another part is invested at 12 percent, and a third part is invested at 16 percent. The total yearly income from these three investments is $3,200. Furthermore, the income from … 
algebra
Could you please answer this? Investment. Part of $25,000 is invested at 10 percent, another part is invested at 12 percent, and a third part is invested at 16 percent. The total yearly income from these three investments is $3,200. 
math
An inheritance of $50,000 is divided into two investments earning 8.5% and 10% simple interest. ( The 10% investment has a greater risk.) Your objective is to obtain a total annual interest income of $4700 form the investments. What … 
Math
Help! Toshiro Hashimoto invested some money at 4.5% simple interest and $1000 more than four times the amount at 6%. His total annual income for one year from interest on the two investments was $801. How much did he invest at each … 
precalculus
$100,000 is divided into two investments with annual returns of 4% and 7.5%. find the amount invested at the lower rate if the total income at the end of the year is $5050? 
precalculus
$100,000 is divided into two investments with annual returns of 4% and 7.5%. find the amount invested at the lower rate if the total income at the end of the year is $5050? 
math
An amount of $5000 is put into three investmesnts at rates of 6%, 7%, and 8% per annum, respectively. The total income is $358. The income from the first two investsments is $70 more than the third investment. Find the amount of each … 
math
Two investments earn a total annual income of $2825. One investment is in a 6.75% annual simple interest certificate of deposit. The other is in a 7.25% tax free annual simple interest account. The total amount invested is 40,000. … 
Algebra
An inheritance of $19,000 was divided among three investments yielding a total of $1490 in simple interest per year. The interest rates for the three investments were 5%, 7%, and 10%. The 5% and 7% investments were $4000 and $1000 … 
algebra
A man has two investments. The first pays him 3% interest per year and the other, 4%. The total income from these two investments is $170. If the interest rates were interchanged, the yearly income would be $180. How much is the investment?