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74 or 75 years
It will take 19 years.
x = the amount of money that was invested at the first bond y = the amount of money that was invested at the second bond x + y = 24,000 so, y = 24,000 - x 0.075x + 0.09y = 1935 0.075x + 0.09(24,000 - x) = 1935 0.075x + 2160 - 0.09x = 1935 -0.015x = - 225 0.015x = 225 x = 225/0.015 x = 15,000, this is the amount of money that was invested in the first bond y = 24,000 - x y = 24,000 - 15,000 y = 9,000, this is the amount of money that was invested in the second bond Check it: 15,000 x 0.075 = 1,125 9,000 x 0.09 = 810 1,125 + 810 = 1,935
At 6% interest, the total amount of money increases by a factor of 1.06 (100% + 6%) every year, so to get the amount after 4 years, you calculate 900 x 1.064.
750 invested for 10 years at 10% pa would be 1,945