Question

Jillian put $1200 into an account earning 6.5% interest compounded continuously. How long until she doubles her money?

please answer I'll give you five stars and step by step ​

Answer 1

`A= 2400\\P= 1200\\r = 6.5\% = 0.065\\n = 365 \\t = t\\A = P(1 + (r)/(n))^(nt)\\\\2400 = 1200(1 +(0.065)/(365) )^(365t)\\\\(2400)/(1200) = (1.00017808219)^(365t)\\\\(2)^{(1)/(365) } = (1.00017808219)^t\\\\\\Taking \ log \ on \ both \ sides\\log(1.00190083768) = t * log(1.00017808219)\\\\t= (log(1.00190083768))/(log(1.00017808219)) = 10.66\\\\t = 10.7years`