# Algebra

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I have no idea how to even begin writing this out. I need help desperately.

A student deposits \$6,000 in a savings account with x% continuously compounded interest. How many years must he wait until the balance has doubled?

• Algebra -

A = Pe^xt
where x is the rate and t is the # years.
When the amount has doubled, A=2P, so
2 = e^xt
ln2 = xt
t = ln2/x

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