You currently have $2,700 (Present Value) in an account that has an interest rate of 4.5% per year compounded continuously. You want to withdraw all your money when it reaches $5,130 (Future Value). In how many years will you be able to withdraw all your money? The number of years is . Round your answer to 1 decimal place.

To find the number of years it will take for the account balance to reach $5,130, we can use the formula for continuous compound interest: FV = PV * e^(rt) where FV is the future value, PV is the present value, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years. Plugging in the given values, we have: 5130 = 2700 * e^(0.045t) To solve for t, we can divide both sides by 2700: 5130/2700 = e^(0.045t) Taking the natural logarithm (ln) of both sides to isolate the exponent, we get: ln(5130/2700) = 0.045t Simplifying this equation: ln(1.9) = 0.045t Using a calculator to evaluate the natural logarithm of 1.9, we find: 0.64185388617 = 0.045t Now, we can solve for t by dividing both sides by 0.045: t = 0.64185388617 / 0.045 ≈ 14.3 Therefore, it will take approximately 14.3 years to withdraw all your money. Rounding to 1 decimal place, the answer is 14.3 years.