The population in a certain city was 54,000 in 2000 , and its future size is predicted to be \( P(t)=54,000 e^{0.017 t} \), where \( t \) is the number of years after 2000 . Complete parts a through d below. a. Does this model indicate that the population is increasing or decreasing? b. Use this function to estimate the population of the city in 2002 . (Round to the nearest whole number as needed.)

Select your answer What is the direction of a vector with a horizontal component of -2 and a vertical component of -4 ? \( -63^{\circ} \) \( -117^{\circ} \) 0.

What is the direction of a vector with a horizontal component of 2 and a vertical component of -4 ?

Find an equation for the hyperbola described. Graph the equation. Center at \( (-1,-7) ; \) focus at \( (-1,-10) ; \) vertex at \( (-1,-9) \) Write an equation for the hyperbola. \( \square-\square=1 \) (Type exact answers for each term, using fractions as needed.)

What is the magnitude of a vector with a horizontal component of 5 and a vertical component of \( 12 ? \)

The size of a certain insect population is given by \( \mathrm{P}(\mathrm{t})=400 e^{.03 \mathrm{t}} \), where t is measured in days. At what time will the population equal 1600 ?