he population of India can be modeled by the function   P(t)=1462(1+0.0177)t   where P(t) measures the population in millions and t represents the number of years since 2000.   Using this model, what was the population of India in 2005?    Predict the population of India in 2026.

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A:

Q: The Loth Cat population grows at a constant relative growth rate. If the population is 400 after 2…

A: Let the constant relative growth rate be 'r' and the time in years be 't'. Let the population at any…

Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

A:

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: The amount of carbon-14 present in animal bones after t years is given by the equation:…

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Put value in function

Q: A population of bacteria is initially 8000. After three hours the population is 4000. If this rate…

A: Given,          A population of bacteria is initially 8000. afters three hours the population is…

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A:

Q: The function represents the rate of flow of money (in dollars per year) over the given time period,…

A: Given that, The function of future value is  f(t) = 2000  rate, r = 3% = 0.03 time , t = 3 years  To…

Q: 4) How quickly is an airplane's elevation currently rising if its height (in feet) as a function of…

A: We need to find rate of change of elevation or rate of change of height when t = 4 sec Hence we will…

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A: Given that P(t)=445  We have to find t

Q: The rate growth of a population is proportional to the present population. If it is 1000 initially…

A: This question is related to the population growth, We will solve it using integration.

Q: As an analyst at Decimating Capital, you are asked to estimate the future revenue of the Slate Rock…

A: The revenue function modeled by the equation Rt=0.825t0.04 Here Rt=drtdt Where r(t) is revenue…

Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

A:

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A:

Q: The number of applications for patents, N. grew dramatically in recent years, with growth averaging…

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.00r,…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: Given that, the cost to produce x units per month is given by                C = 0.3x2+8,000  and…

Q: f you invest $10,400 at an interest rate of 2.5% compounded continuously, when will your investment…

A:

Q: The rate of growth of the fish population was modeled by the equation G(t) =…

A: Given:

Q: The Montag Family purchased a house in 2020 and expects its value (in thousands of dollars) t years…

A: Here, modeled function  V(t)=310(1.08)t    Which means initially price of the house is 310 thousands…

Q: When $1000 is invested at r% interest (compounded continuously) for 10 years, the balance is f (r)…

A: Consider that $1000 is invested at r% interest compounded continuously for 10 years. Calculate the…

Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A:

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: 2. In 1998, the average annual cost of a public college was $8,850 and costs were climbing by 8% per…

A: 2. The general form of the formula is final value = initial value×1+r%t The formula we have to use…

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

A:

Q: Suppose revenue from the sale of new homes in a certain country decreased dramatically from 2005 to…

A: Given data: The trend of revenue decrease is, rt=411e-0.321t

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: To find when does the mass reaches 50 grams

Q: The number of traffic accidents per year in a city of population p is predicted to be T 0.002p ³/2.…

A:

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A:

Q: Park service personnel are trying to increase the size of the bison population of a large park. If…

A:

Q: Estimate the value of x to the nearest tenth when the y-value of the exponential function begins to…

A: We have to estimate the value of x to the nearest tenth when the y-value of the exponential function…

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A: H=1,500e^0.053t

Q: The resident population of the United States in 2015 was 320 million people and was growing at a…

A: a. Given model is Pt=3201.007t-2015. Substitute P(t) = 400,…

Q: A culture contains 2000 bacteria initially and doubles every 60 minutes. Assuming that the rate of…

A: To determine the counting function P(t) explicitly, under the given conditions

Q: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

A: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

Q: ) Greenland had a population of 55000 in 1980 and a population of 78000 in 1990. Assume that the…

A:

Q: 7 Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given that the stock price of Apple has been growing rapidly using equation y=3.2e0.5x We compare…

Q: An initial investment of $6000 grows at 5% per year. What function represents the value of the…

A: Given that initial investment made = $6000 It is said that the investment grows 5% per year. This is…

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  find t when m=50…

Q: Suppose Shunreca Garner invested $8000 in stocks and the investment grew exponentially to $10000 in…

A: To use the exponential model to 1) determine the  growth rate and 2) to calculate the value after 15…

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A: year=2042

Q: In Example 2, we modeled the population size (in millions) of the United States as N(t) = 8.3(1.33)'…

A: The solution of above question no. #30 is written below with graph.

Q: A culture contains 1400 bacteria initially and doubles every 50 minutes. Assuming that the rate of…

A: To determine a function P(t) that models the number of bacteria after t minutes.

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A:

Q: The population of a city can be modeled by P(t) = 17e.04t thousand persons, wheret is the number of…

A: The population of a city can be modeled by P(t)=17e0.04t thousand persons, where t is the number of…

Q: the value of an investment is modelled by A(t)=5000e0.09t , where A is the amount the investment in…

A:

Q: a 2012 article in the Los Angeles times reported that the number of weekly visits to Pinterests web…

A: The number of visitors in the year 2011 = 1.27 million Percentage increase = 2183% every year So the…

Q: A culture contains 2000 bacteria initially and doubles every 40 minutes. Assuming that the rate of…

A:

Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

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.