Final answer:
The question is about how long it will take for an account to reach a certain balance; the context implies rounding decimal numbers to the correct number of significant figures in fields such as mathematics and science, though specifics of the account details are missing.
Step-by-step explanation:
The student's question pertains to determining the number of years it will take for an account to reach a specific amount, which in this case is $14,300. From the reference provided, it's clear the student is dealing with numerical answers and the process of rounding to significant figures. The various examples offer insight into the correct way of rounding numbers based on the significant figures and the digit that is to be dropped. However, without the initial value or the rate at which the account grows, we cannot provide a step-by-step explanation.
To round a number, we look at the digit right after the decimal place up to where we need to round our number. If this digit is 5 or higher, we round up the last significant figure; if it is 4 or lower, we leave it as is. The examples provided show rounding to the hundredths and tenths places, which is a common practice in many fields, particularly in sciences and mathematics.