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masya89 [10]
2 years ago
6

Question 19

Mathematics
1 answer:
atroni [7]2 years ago
8 0

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

A\left(t\right)=2000\left(1+0.0412\right)^{12t}

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.

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