1) Julia = Sj = 30,500 + 500n Aysha = Sa = 26,000 + 1000n
when will Sj = Sa 30,500 + 500n = 26,000 + 1000n 30,500 - 26,000 = 1000n - 500n 4,500 = 1000n - 500n 4,500 = 500n n = 9 so they will have same salary after 9 years
2) X + Y = 8000 5%X + 3.25%Y = 312.5
X = 8000 - Y 0.05 ( 8000 - Y ) + 0.0325Y = 312.5 400 - 0.05Y + 0.0325Y = 312.5 400 - 0.0275Y = 312.5 400 - 312.5 = 0.0275Y 87.5 = 0.0275Y Y = 3,181.81 X = 8000 - Y = 8000 - 3,181.81 = 4,818.19
3) X + Y = 3050 8%X + 7.5%Y = 234
X = 3050 - Y 0.08(3050 - Y) + 0.075Y = 234 244 - 0.08Y + 0.075Y = 234 244 - 234 = 0.025Y Y = 400 X = 3050 - Y = 3050 - 400 = 2650
