Concept explainers
The logistic model is used to simulate population as in
where
t | 1950 | 1960 | 1970 | 1980 | 1990 | 2000 |
p | 2555 | 3040 | 3708 | 4454 | 5276 | 6079 |
Trending nowThis is a popular solution!
Chapter 25 Solutions
Package: Loose Leaf For Numerical Methods For Engineers With 1 Semester Connect Access Card
- What is the carrying capacity for a population modeled by the logistic equation P(t)=250,0001+499e0.45t ? initial population for the model?arrow_forwardTo the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?arrow_forwardRecall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .arrow_forward
- What is the y -intercept on the graph of the logistic model given in the previous exercise?arrow_forwardThe formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning