You decide to deposit $1000 into your bank account for x number of years, where x is the solution to the exponential equation 1/256 = 16^(x-9)

You find an interest rate of 10% compounded quarterly. For the first code, calculate how much more money you would have in your pocket if you had used an account compounded continuously with the same interest rate and principal. Round to the nearest cent and do not include the dollar sign.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?