Answer:
When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.
Hence, option (A) is true.
Step-by-step explanation:
<u><em>BACKGROUND KNOWLEDGE ABOUT EXPONENTIAL GROWTH</em></u>
We know that an exponential increase in Math can be termed as the rapid increase of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1+b)ˣ
here
y represents the final amount
a represents the original amount
b represents the growth factor
x represents the time that has passed
Now, let is us map our problem because it indicates the same concept.
<em><u>SOLVING THE QUESTION</u></em>
Given the function
Here
A(t) represents the final amount
2000 represents the original amount
0.0412 represents the growth rate
t represents the number of years
Thus,
When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.
Hence, option (A) is true.