Investigate the following harvesting model both qualitatively and analytically. If a constant number h of fish are harvested from a fishery per unit time, then a model for the population P(t) of the fishery at time t is given by: dP /dt = P(a − bP) − h, P(0) = P0, where a, b, h, and P0 are positive constants.

Suppose a = 9, b = 1, and h = 81/4.

Required:
Determine whether the population becomes extinct in finite time.

a. The population becomes extinct in finite time if P0 > 9 2 .
b. The population becomes extinct in finite time if P0 = 9 2 .
c. The population becomes extinct in finite time for all values of P0.
d. The population becomes extinct in finite time if P0 < 9 2 .

Elizabeth is using a sample to study american alligators. she plots the lengths of their tails against their total lengths to find the relationship between the two attributes. which point is an outlier in this data set?

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96

Which two fractions are equivalent to 6/11? 6/22 and 18/33 12/22 and 18/33 12/22 and 18/22 3/5 and 6/10