a total of $1381.8 per year is received in interest from three investments. the interest rates for the three investments are 4.9%, 7.5%, and 8.6%. the 4.9$ investment is half of the 7.5% investment and the 7.5% investment is 1400 less than the 8.6% investment.

find the amount of the 4.9% investment in units of dollars
find the ammount of the 7.5% investment in units of dollars
find the amount of the 8.6% investment in units of dollars

let the three amounts be x,y,z respectively.

.049x + .075y + .086z = 1381.80
x = y/2
y = z-1400

x = 3400
y = 6800
z = 8200