Consider a through full of water in the shape of an upside-down triangular prism. The top of the tank is 10m long by 5m wide and the height of the triangular face is 10m. The tank contains water, 8m deep initially. There is a hole in the bottom of the tank that allows 15cm3/min of water exit (provided the water in the tank is at least 0.5m deep). How fast is the height of water in the tank changing when it is 1.5m deep? You are interested in investigative accounting. You are given a portfolio with the following information. $5500 was invested in 1976. For the first 7 years, there was an interest rate of 3.5% compounded bi-annually. The current balance in the account is $17,250. Assuming that interest after 1984 was compounded continuously, what was the interest rate in effect from 1984 - present on this investment?
