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Derivatves and Rate of Change Word Problems

1.) A deposit of S dollars that earns 100r% annual interest compounded continuously leaves a balance of P = 'Se' power of 'n' or ( 'Se' to the 'n') dollars after "t" years.

a) What will an amount of $ 5000 grow to after 15 years at 10% annual interest compounded continuously?

b) Determine the rate at which P is growing.

3) Find the maximum point of the graph y=x^x x>0 and sketch.

See attached file for full problem description.

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