The population P(t) of a town, in thousands, t years after 1900 can be described by the rule P(t)=20(1.015)ᵗ.   What was the population in 1900?   What is the annual rate of growth or decay of the population? Give your answer as a percent.

Q: Find the domain of the function. f(x) = log (x+ 10) %3D O A. (- 10,00) Ов. O B. (1,00) c. O C.…

A: Domain is the possible values of x.Inside logarithm we should have positive numbers only.

Q: A population of bacteria has 1175 bacteria in its starting population. The half-ife of this…

A: Given:   Bacteria : 1175     Days : 14

Q: Given P(x) = 0.8(1.72)* %3D a. Find the initial value of the function P(x). Number b. The function…

A: p(x)=0.8(1.72)x

Q: The population, P, of fish in a lake after t years can be modelled by P = 3,200(0.9526)* Determine…

A: We have to find annual rate of increase or decrease of the given data.

Q: Direction: Find the domain and range of the following exponential functions; 1. f(x) 3-4 2. y = -2-3…

A: The given functions, 1. fx=3x-4 2. y=-2x-3+1 3. gx=12x+2 4. fx=0.253x We have to find the domain and…

Q: Given the function f (x) = 630(.64)x, determine if this function models exponential growth or decay…

A: We will rearrange the given function using basic algebra and find if it represents growth or decay.

Q: A baseball card sold for $300 in 1979 and was sold again in 1986 for $481. Assume that the growth in…

A: We need to find out to the exponential growth rate and the function.

Q: The function in the table is exponential: f(x) -1 2. 0. 8. 32 128 1. O True O False

A: It seem that by table, the function is exponential or not

Q: Order the following functions according to their growth rates, from the least to greatest.. en nlnn…

A: Advance maths

Q: The amount of money in an investment is modeled by the function A(t)= 700 (1.10198)^t . The variable…

A:

Q: Below is the graph of an exponential function,y=g(x). 400 y         300   (2,300)       200…

A: Let g(x)=ab^x

Q: In a laboratory experiment, the population of bacteria in a petri dish started off at 9100 and is…

A: Given: The initial population of a bacteria=9100 and rate of growth=6% per day. To find: A function…

Q: 11. Determine the equation of the exponential function below: H N

A:

Q: The growth of bacteria in a culture can be modeled by the function A = Age, where A is the amount of…

A:

Q: San Diego is one of the largest cities in the United States. In 2012, the population of San Diego…

A: We need to find out the growth rate from 2012 to 2016, also the growth rate from 2016 to 2020.

Q: Model the data using an exponential function f(x) Ab %3D f(x) 125 25 2) 5. 1.

A: Given-  Consider the data,            x                0                  1                   2…

Q: The purchases of a videogame can be represented by the exponential relation N = 400(1.8)t, where N…

A: To find the number of games sold after 3 weeks,  simply substitute t = 3 into the exponential…

Q: 4.4(3) Please help me with this!!! Determines the slope of the tangent to the curve (shown in the…

A: The function is:gx=2x+33x+1 To Do:We have to find the slope of the tangent at x=2.

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.