The rate of change of the population of a city is proportional to the population p at any time t (in years). in 2000, the population was 200,000, and the constant of proportionality was 0.013. estimate the population of the city in the year 2025.

  276,806

Step-by-step explanation:

In this context "rate of change of the population ... is proportional to the population" means it can be modeled by ...

  P(t) = P0·e^(kt)

where "k" is the "constant of proportionality, and P0 is the population corresponding to t=0.

Filling in the given numbers, we have ...

  P(25) = 200,000·e^(0.013·25) ≈ 276,806

The population is estimated to be 276,806 in the year 2025.

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.