In a later chapter we will be able to show, under certain assumptions, that the velocity v(t) of a falling raindrop at time t is v(t) = vT(1 − e−gt/vT) where g is the acceleration due to gravity and vT is the terminal velocity of the raindrop.

(a) Find

lim t→[infinity] v(t).

(b) Graph v(t) if vT = 8 m/s and g = 9.8 m/s2.

Eliza wants to make $10,000 from her investments. she finds an investment account that earns 4.5% interest. she decides to deposit $2,500 into an account. how much money will be in her account after 14 years?

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)

Classify the following number. −9.070707…