4. Two investments, A and B, produce a continuous income stream of 3%, compounded continuously. The rate of flow of income from investment A is f(t) 2000e0.034 and the rate of flow of income from investment B is expected to be g(t) = 3000. (a) Find the total income produced by each of the two investments over the 5-year period. (b) Find the future value, the accumulated amount of money flow, of each of the two investments for 5 years.

Q: An investor is presented with a choice of two investments: an established furniture store and a new…

A:

Q: if the population of Palestine is 6 million in 2020  with a growth rate of 3%/yr when it is expected…

A: Given: The population of Palestine is 6 million in 2020  with a growth rate of 3%/yr

Q: An animal has an initial population of No. From that initial population count, it grew to 705…

A: For population growth we can use logistic model of growth , Where growth depend on  current…

Q: Determine the AV at time 9 of $100 invested at time 4 given the accumulation function a(t)=0.05t2+1.

A: Consider the function: Accumulation function,at=0.05t2+1at=0.05t2+1For time 4;…

Q: The income from an established chain of laundromats is a continuous stream with its annual rate of…

A: Given that: n = time in years = 9 r = rate per year = 2% = 0.02 f(t) = $ 120,000 The present value…

Q: Two investments, A and B, produce a continuous income stream of 3%, compounded continuously. The…

A: A and B continuously produces income stream 3% compounded annually  ft=3000e0.04tgt=5000 we have to…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: The next table lists the winners and their prize monies in actual dollars from the Masters Golf…

A:

Q: Company C showed a profit of $1.4 million last year. The CEO of the company expects the profit to…

A:

Q: An investment grew by 4% in the first year, 6% in the second year and 10% in the third year with…

A: Annual average growth rate is calculated as sum of each year growth rate divided by the number of…

Q: Find the accumulated future value of the continuous income stream at a rate R(t), for the given time…

A:

Q: Find the accumulated future value of the continuous income stream at a rate R(t), for the given time…

A: The given continuous income stream is , and time is  years and the rate of interest is .The aim is…

Q: suppose that r(t)=250,000 is a continuous income stream for 5 years at 5% compounded continuously.…

A: Given query is to find the future value of the income stream.

Q: A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia…

A: Let's find growth logistics model.

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.