Math Help Please explain the questions How long will it take for the balance of an account to double if the savings account earns 0.75% annual interest compounded monthly? Hint: Set up the problem using the formula: = (1 + r/n). Solve. Give BOTH the exact answer and approximate answer for x. The attachment is below for this second question. Write as a single logarithm.

4 ∙ log3 + log2

(See attached formula)
Years = log (total / principal) / nlog(1 + rate/n) where n = compounding periods per year
Years = log (total / principal) / nlog(1 + rate/n)
Rate of .75% = .0625 per month
We'll say we want total = 200 and principal = 100
Years = log (200 / 100) / 12log(1 + rate/n)
Years = log (2) / 12 log (1 + .0625/12)
Years =

0.3010299957

/ 12

0.0022560803

Years =

0.3010299957

/

0.0270729635

Years = 11.1192110871

I don't think that's right
The interest rate is REALLY low. (Less than 1%)
Rate = .75 and .0075 when in a formula
Years = log (2) / 12 log (1 + .0075/12)
Years = log (2) / 12 log( 1.000625)
Years =

0.3010299957

/ 12

0.0002713493

Years =

0.3010299957

/ 0.0032561912

Years = 92.4485010892

THAT seems a more likely answer with such a low interest rate.