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:
BACKGROUND KNOWLEDGE ABOUT EXPONENTIAL GROWTH
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.
SOLVING THE QUESTION
Given the function
[tex]A\left(t\right)=2000\left(1+0.0412\right)^{12t}[/tex]
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.