Satoshi started studying how the number of branches on his tree grows over time. The relationship between the elapsed time t, in years since Satoshi started studying the tree, and the number of
its branches N(t), is modeled by the following function:
N(t) = 24•3^t/15

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?