A New Species, Introduced into an Environment in Which It

question 160

Short Answer

A new species, introduced into an environment in which it has no natural predators, grows exponentially with continuous growth rate k=0.095 per year. There are initially 45 individuals introduced. Write the formula for , the number of individuals after t years and use it to find how many years will it take for the population to reach 300 individuals. Round to 2 decimal places.

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Definitions:

Compounded Quarterly

A method of calculating interest in which the interest is compounded quarterly, being added to the principal amount four times annually.

Annual Rate of Inflation

the percent increase in the price level of goods and services across the economy over the course of a year.

Consumer Price Index

A measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care, typically used to monitor inflation.

Compound Annual Real Rate of Return

The rate of return on an investment, adjusted for inflation, that compounds annually, reflecting the true purchasing power of earnings.