A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24, 000(1.063)^w Matthew claims that the population of ants is growing at a rate of 0.9% per day. Explain why Matthew’s claim is too high of a rate.

Step-by-step explanation:

the Pythagorean theorem is

c is the hypotenuse which is the side opposite of the right angle

plug the numbers into the Pythagorean theorem

when squaring a square root, just take the number in the radical and get rid of the radical

subtract 26 from both sides

find the square root of 143

143 is prime so it can just be written as