A certain population has a yearly per capita growth rate of 2.2%, and the initial value is 5 million. (a) Use a formula to express the population as an exponential function. (Let N be the population in millions and t be the time in years.)N(t) =     (b) Express the population after 4 years using functional notation.N( )Calculate that value. (Round your answer to two decimal places.)million

Q: A population numbers 12,000 organisms initially and decreases by 1.8% each year. Suppose P…

A: Given: A population numbers 12,000 organisms initially and decreases by 1.8% each year.

Q: A sample of radioactive material has a half-life of about 1200 years. An initial sample weighs 20…

A: Given half life of the radioactive sample is about 1200 grand initial sample weight is 20 grams.

Q: A population numbers 16,000 organisms initially and decreases by 3.1% each year. Suppose P…

A:

Q: A population numbers 16,000 organisms initially and decreases by 2.4% each year. Suppose P…

A:

Q: A population numbers 19,000 organisms initially and decreases by 5.2% each year. Suppose P…

A:

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population…

A: Let's find.

Q: A population numbers 14,000 organisms initially and decreases by 3.4% each year. Suppose P…

A: Population at t=0 is 14000

Q: A population numbers 11,000 organisms initially and grows by 2.5% each year. Suppose P represents…

A:

Q: A population numbers 16,000 organisms initially and decreases by 7.4% each year. Suppose P…

A: Given: Initial population of organisms = a = 16000 Decrease rate = t = -0.074           Negative…

Q: The population numbers 11,000 organisms initially and grows by 9.4 % each year. Suppose P…

A:

Q: In the year 1950, the world population was 2.56 billion people. In 1960, the population grew to 3.04…

A:

Q: A population numbers 10,000 organisms initially and decreases by 4.8% each ye Suppose P represents…

A: Given data: The initial population of the organism is P0=10,000. The given rate at which the…

Q: A population numbers 18,000 organisms initially and grows by 17.9% each year. Suppose P represents…

A:

Q: A population numbers 13,000 organisms initially and grows by 13.9% each year. Suppose P represents…

A: To determine: An exponential model for the population that can be written in the form P=a·bt Given:…

Q: A population numbers 10,000 organisms initially and grows by 14.9% each year. Suppose P represents…

A:

Q: A colony of 200 bacterial cells is placed in a petri dish. After 5 hours, the bacteriologist finds…

A: ln e = 1 ln ab=b lna

Q: A population numbers 19,000 organisms initially and decreases by 2.3% each year. Suppose P…

A: A population numbers 19,000 organisms initially and decreases by 2.3% each year. That is, Initial…

Q: A population numbers 17,000 organisms initially and grows by 4.7% each year. Suppose P represents…

A: The exponential growth equation with rate of growth r in time period t is given by P=a·bt, where a…

Q: A population numbers 10,000 organisms initially and grows by 7.8% each year. Suppose P represents…

A:

Q: A population numbers 14,000 organisms initially and grows by 15.7% each year. Suppose P represents…

A: An exponential model for the the population can be given by:P=P01+rtWhere P0 is the initial…

Q: A population numbers 10,000 organisms initially and decreases by 5.5% each year. Suppose P…

A:

Q: A population numbers 11,000 organisms initially and decreases by 2.4% each year. Suppose P…

A: Initially the number of organism is a=11000 and it is decreasing by 2.4% each year. After first…

Q: A population numbers 17,000 organisms initially and grows by 16.4% each year. Suppose P represents…

A:

Q: A population numbers 15,000 organisms initially and decreases by 7.9% each year. Suppose P…

A:

Q: A population numbers 15,000 organisms initially and decreases by 3.5% each year. Suppose P…

A: Given that , A population number 15,000 organisms initially and decreases by3.5% each year ∴ Initial…

Q: A population numbers 12,000 organisms initially and grows by 19% each year. Suppose PP represents…

A:

Q: A population numbers 11,000 organisms initially and grows by 18% each year. Suppose P represents…

A: The initial population of organisms was 11,000.  It grows by 18% each year.  This basically means…

Q: -) Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal…

A: Given equation,  dPdt=kP(1-PK).  (a) Carrying capacity is given K = 5300, Let us plug it in given…

Q: A population numbers 18,000 organisms initially and decreases by 2.2% each year. Suppose P…

A: Given: A population numbers 18,000 organisms initially and decreases by 2.2% each year. Suppose P…

Q: A population numbers 20,000 organisms initially and decreases by 4.5% each year. Suppose P…

A:

Q: A population numbers 19,000 organisms initially and decreases by 3.9% each year. Suppose PP…

A:

Q: A population numbers 10,000 organisms initially and grows by 5.4% each year. Suppose PP represents…

A:

Q: A population numbers 19,000 organisms initially and grows by 2.7% each year. Suppose P represents…

A: A number of population 19000. The rate of increasing population is 2.7% per year and ''t'' be the…

Q: A population numbers 12,000 organisms initially and grows by 2.7% each year. Suppose P represents…

A: We have to find the variables using value of P(1) and P(0).

Q: A population numbers 17,000 organisms initially and decreases by 6.7% each year. Suppose P…

A: From the given data:

Q: A population numbers 11,000 organisms initially and grows by 2.4% each year. Suppose PP represents…

A: Given data is: Initially value is 11000 growth percentage is 2.4%.…

Q: A population numbers 19,000 organisms initially and decreases by 2.3% each year. Suppose P…

A:

Q: A population numbers 18,000 organisms initially and grows by 13.5% each year. Suppose P represents…

A:

Q: A population numbers 16,000 organisms initially and decreases by 1.6% each year. Suppose PP…

A: P=abtwhere   a= initial population               b=1+rGiven a=16,000and population decrease each…

Q: an increasing exponential function y=a(b)^x and a decreasing exponential function y=a(b)^x intersect…

A:

Q: A population numbers 18,000 organisms initially and decreases by 3.3% each year. Suppose P…

A:

Q: A population numbers 20,000 organisms initially and grows by 3% each year. Suppose P represents…

A: Initial population Pi = a = 20,000 Increasing rate r = 3% = 3/100 = 0.03 time = t P = a*bt

Q: A population numbers 14,000 organisms initially and decreases by 3.4% each year. Suppose P…

A: Given: Initial population(a)= 14,000  rate of decreases = 3.4% To find out: P=_________

Q: A population numbers 16,000 organisms initially and grows by 2% each year. Suppose P represents…

A: Find population after t years from the given data.

Q: A population numbers 10,000 organisms initially and grows by 8.6% each year. Suppose P represents…

A: A population numbers 10,000 organisms initially and grows by 8.6% each year

Q: A population numbers 16,000 organisms initially and decreases by 8.6% each year. Suppose P…

A: The initial population is 16,000 and is decreases by 8.6% each year.  That is,  r=8.6%=8.6100=0.086…

Q: 2 Few items exist in the world that can appreciate in value like a rare diamond. The estimated value…

A: This is a problem related to exponential function. Based on the general formula and concept we will…

Q: A population numbers 13,000 organisms initially and grows by 18.4% each year. Suppose P represents…

A: We know that,The exponential growth equation with rateof growth r in time period t is given…

Q: 2. Few items exist in the world that can appreciate in value like a rare diamond. The estimated…

A: Few items exist in the world that can appreciate in value like a rare diamond. The estimated value…

Q: A population numbers 18,000 organisms initially and grows by 6.8% each year. Suppose P represents…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.