Question 271742
x = interest rate on larger investment.
x - .02 = interest rate on smaller investment.


formula you want is:


x * 10000 + (x-.02) * 4000 = 1250


simplify this equation to get:


x * 10000 + x * 4000 - .02 * 4,000 = 1250


simplify and combine like terms to get:


x * 14999 - 80 = 1250


add 80 to both sides of the equation to get:


x * 14000 = 1330


divide both sides by 14000 to get:


x = 1330/14000 = .095


this means that x - .02 = .075


.095 * 10000 + .075 * 4000 = 1250 which is correct, confirming these answers are good.


the rate of interest on the 10,000 is .095 = 9.5%


the rate of interest on the 4,000 is .075 = 7.5%