Jerry invests $6000 at 7.5% a, compounded annually.
a) Determine the equation of the amount,
b) Estimate the instantaneous rate of change in the value at 10 years.
c) Suppose that the interest rate was compounded semi-annually instead of annually. What would the instantaneous rate of change be at 10 years?
For 500 g of a radioactive substance with a half-life of 5.2 h, the amount remaining is given by the formula
M is the mass remaining and t is the time in hours.
a) Calculate the amount remaining after 1 day.
b) Estimate the instantaneous rate of change in mass at 1 day.