Define the term compounded continuously?

Q: Give the starting value ?, the growth/decay rate ?, and the continuous growth/decay rate ?. If there…

A: rate, r = dQ/dt Q = 0.191*e0.24t Starting value, Put t = 0 Q(t)       = 0.191*e0.24*0Q(t=0) =…

Q: By using the definition of hyperbolic functions as exponential functions, show that sinh 3x = 3 sinh…

A: handwriting solution

Q: sketch the shifted exponential curves

A: The given curves are y=2x-1 and y=2-x-1. The graph of y=2-x-1 is the reflection of y=2x-1 across the…

Q: Kyle investes in an account earning 8% interest compound continuously. How long will it take to…

A:

Q: Express the equation in Heaviside Function

A:

Q: What are the  Exponential Curves?

A: Exponential curves is a function in which the variable appeares in theexponent and it grows…

Q: Since the data obtained as a result of 5 observations of an experiment is ∑ log Xi = 6.27, what is…

A: n = 5 ∑ log Xi = 6.27 We have to find the geometric mean.

Q: Determine the regression equation. Years on job (x)

A: From the given data , Our aim is to find the regression equation. Here , we use the Excel

Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

Q: Is the logistic equation separable?

A:

Q: . Estimate dx with an error less than 10-3.

A: Series sum estimation:

Q: Find the exponential fulnction fGx) - Cb whose YA gaph is given..

A:

Q: The table shows the population of a certain city for selected years between 1950 and 2003. Years…

A: Given information: The data represents the values of the variables x = Year and y = Population.

Q: A cow is given a growth hormone and then compared to another cow that was not given a growth…

A: Given, A cow is given a growth hormone and then compared to another cow that was not given a growth…

Q: Which forest's population is growing at a faster rate?

A: A(t)=115(1.025)t B(t)=82(1.029)t

Q: Briefly outline Autoregressive Integrated Moving Average (ARIMA) models and illustrate their…

A: The Autoregressive Integrated Moving Average (ARIMA) Model makes the predictions of future with the…

Q: An interest rate of 12 % per year compounded continuously is the same as nominal 1% per month…

A: Given- An interest rate of 12% per year compounded continuously is the same as nominal 1% per month…

Q: Why is the equation nonhomogeneous sometimes?

A:

Q: Estimate using the change of base formula.

A: Given- log56 To find- the valuie of the above expression using the change of base formula. Concept…

Q: The best predicted value of y is (Round to two decimal places as needed.)

A: The regression equation is y^=17.16+0.84x.

Q: How long (in years) will it take a $300 investment to be worth $400 if it is continuously compounded…

A:

Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half…

A:

Q: Assume that a person have $2000 dollars deposit in their account with 3% annual interest rate…

A:

Q: Show that the multi-period logarithmic return is additive

A: To show that the multi-period logarithmic return is additive:

Q: Q3 A washing machine is advertised as having more than 10-year life. If its pdf is given by 40 (a)…

A: From the given information, f(t)=151+140t-3, t>=0 a) The reliability for the next 10 years if it…

Q: How is sinusoidal function used in calculating population growth or decay over a period of time?…

A: Given question:- How is sinusoidal function used in calculating population growth or decay over a…

Q: A 2008 study of 300 oil fields producing a to that daily production was decaying at a cont estimated…

A: It is given that,  in 2008 study of 300 oil fields producing a total of 84 million barrels per day.…

Q: How long, to the nearest year, will It take an Investment to double if it is continuously compounded…

A: An investment P compounded continuously at a rate of interest of r % per year for t years…

Q: Use differentials to approximate the value of: 26

A:

Q: The APY for 6.5% compounded continuously is %. Give answer as a percent rounded to one decimal…

A:

Q: A population of bacteria grows according to the logistic equa

A: The population of bacteria grows according to the logistic equation dPdt=0.05P(1-0.001P)

Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measured…

A:

Q: Find an estimator for b when a = 0 using the method of moments.

A: It is given that X1, X2, .......,Xn follows Uniform(a, b)

Q: the population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

A: The population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

Q: An exponential equation is a nonlinear regressio

A:

Q: A rumor is spreading through town at a rate of ť + 10t new people/day. Approximately how many people…

A: Given rate t2+10t new people/day

Q: The value of a large piece of equipment decreases from OMR 185,000 to OMI 95,000 in six years. If…

A: Introduction: The uniform rate of increase or decrease is very significant. When an amount increases…

Q: What is the exponentially smoothed value for period 4, using a smoothing constant of 0.4?

A: Given that  Time series data  Observation  Value 1 10 2 15 3 18 4 12 5 20 6 21 7 21…

Q: What is the instantaneous rate of change?

A: Solution;-  Definition of Instantaneous rate of change:-

Q: Define the term instantaneous rates of change?

A: Given: Define the term instantaneous rates of change?

Q: what is an exponential function?  Is it continuous?

A: what is an exponential function?  Is it continuous?

Q: Use a linear approximation to estimate log10(10.5).

A:

Q: he table shown to the right for the population growth model for untry. ur decimal places as needed.)…

A: Topic:- growth rate

Q: Use a linear approximation (or differentials) to  estimate the given number.    cube root of 1001

A: Given: 10013 or 100113

Q: Solue this Logistic stochostic differentialegh where ajb,c constant wit) ;win er Process by using…

A:

Q: Use exponential regression to find an exponential function that best fits this data.

A:

Q: How long (in years) will it take a $900 investment to be worth $1000 if it is continuously…

A: Amount = $1000 Principal=$900 Interest rate = 8%

Q: A scientist believes that, over the years, the number of major earthquakes has been decreasing. To…

A: The data shows the number of earthquakes above magnitude 7.0

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.