Answer:
Explanation:
1. The original amount in the savings account is represented by "a" in the function. Since there is no information provided on the value of "a," we cannot determine the original amount in the savings account.
2. The function shows that the savings account grows by a factor of 1.013 for each day that passes. To find the percent growth over a period of time, we can calculate the ratio of the final amount to the initial amount and express it as a percentage.
For example, if we want to calculate the percent growth over a year (365 days), we would use the following formula:
percent growth = (f(365) / f(0) - 1) x 100%
where f(0) represents the initial amount in the savings account and f(365) represents the amount after 365 days.
Using the function f(x) = 2000(1.013), we can calculate:
f(365) = 2000(1.013)^365 ≈ 2559.16
f(0) = 2000
percent growth = (2559.16 / 2000 - 1) x 100% ≈ 28%
Therefore, the savings account grows by approximately 28% per year.
3. To find the amount of money in the savings account on January 27th (the 27th day of the year), we can substitute x = 27 into the function:
f(27) = 2000(1.013)^27 ≈ 2043.54
Therefore, on January 27th, you would have approximately $2043.54 in your savings account.