The number of fish, N, in a pond is decreasing according to the model 3. N(t) = ab-t + 40, t 20 where a and b are positive constants, and t is the time in months since the number of fish in the pond was first counted. At the beginning 840 fish were counted. a. Find the value of a. b. After 4 months 90 fish were counted. Find the value of b. С. Calculate the time it will take for the number of fish to decrease to 45.

The number of fish, N, in a pond is decreasing according to the model 3. N(t) = ab-t + 40, t 20 where a and b are positive constants, and t is the time in months since the number of fish in the pond was first counted. At the beginning 840 fish were counted. a. Find the value of a. b. After 4 months 90 fish were counted. Find the value of b. С. Calculate the time it will take for the number of fish to decrease to 45.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The number of fish, N, in a pond is decreasing according to the model
3.
N(t) = ab-t + 40, t20
where a and b are positive constants, and t is the time in months since the number of fish in the pond was first
counted.
At the beginning 840 fish were counted.
a. Find the value of a.
b.
After 4 months 90 fish were counted. Find the value of b.
C. Calculate the time it will take for the number of fish to decrease to 45.

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