Final answer:
The amount of money in the account after 12 years would be approximately $126,934.67.
Step-by-step explanation:
To find the amount of money in the account after 12 years, we can use the formula for continuous compound interest:
A = P * e^(rt)
where:
A is the total amount of money,
P is the principal amount (initial investment),
e is Euler's number (approximately 2.71828),
r is the interest rate,
t is the time in years.
Plugging in the given values:
A = $77,000 * e^(0.046 * 12)
Solving for A, we get:
A ≈ $126,934.67