Ryan spills some soda and neglects to clean it up. When leaving for spring break, Ryan notices some ants on the sticky mess, but ignores them. Upon returning 17 days later, Ryan counts 3960 ants in the same place. The next day there are 5280 ants. Assuming that the size of the ant population can be described exponentially, find the number of ants that Ryan saw when he left for spring break

Ryan saw 30 ants when he left for spring break.

Step-by-step explanation:

The equation for the number of ants has the following format:

In which P(t) is the population after t days, P(0) is the initial population and r is the growth rate.

Upon returning 17 days later, Ryan counts 3960

This means that . So

The next day there are 5280 ants.

This means that

So

From above, we have that

Replacing

Find the number of ants that Ryan saw when he left for spring break

Ryan saw 30 ants when he left for spring break.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

answer: on kudzu, being female and being green are independent events.

step-by-step explanation: