I have some difficult questions, could you show me how you get the answer?
1. Tashi deposits $10,000 into a retirement account and leaves it to accumulate for 25 years. Find the accumulated amount of the interest rate is (a) a true annual rate of 8 percent, (b) 8 percent compounded monthly, (c) 8 percent compounded daily, and (d) 8 percent compounded continuously.
2. Advanced calculus students know that ex can be expanded in a Maclaurin series to obtain ex=1+x+(x^2/2!)+(x^3/3!)+(x^4/4!)+...
Let x=1 and obtain an approximation for e. How many terms of this series are needed to determine e accurate to two decimal places? To three decimal places?
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