Answer:the money has been in the account for over 2 years.
Step-by-step explanation:
The formula for continuously compounded interest expressed as FV = PV x e (i x t) ,
Where
FV represents the future value of the investment.
PV represents the present value or initial amount that was invested.
i represents the interest rate,
t represents the time in years,
e represents the mathematical constant approximated as 2.7183
From the information given,
FV = $1125
PV = $850
i = 12.6% = 12.6/100 = 0.126
Therefore
1125 = 850 × 2.7183^0.126t
1125/850 = 2.7183^0.126t
1125/850 = 2.7183^0.126t
Raise both sides of the equation to the power of 1/0.126. It becomes
(1125/850)^1/0.126 = 2.7183^t
9.25 = 2.7183^t
t = 2.2
