Compound Interest Formula:

Often interest is calculated more often than just at the end of each year. Suppose instead that interest was calculated and added to the account at the end of each month. How much money would be in the account after $5$ years given that interest is compounded monthly?

$4.$ How much money would be in the account after $5$ years given that interest is compounded daily?

If interest could be compounded continuously, the compound interest formula converges $($as$)$ to the formula.

How much money would be in the account after $5$ years given that interest is compounded continuously?

Still using continuously compounded interest, how long would it take for the $$1000$ investment to reach $$1500?($Solve using a logarithm.$)$

Still using continuously compounded interest, how long would it take for the $$1000$ investment to double? $($Solve using a logarithm.$)$

using continuously compounded interest, how much money would be in the account after $50$ ears?

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