Using U.S. Energy Information Administration data for selected years from 2010 and projected to 2040, the U.S. real disposable income per capita (in thousands of dollars) can be modeled by I(t) = 32.11(1.014)* where t is the number of years after 2010.

Q: Suppose that the income stream of a business is 12000e0.02t dollars per year for 10 years. At an…

A: Given ft=12000e0.02t rate = r = 4%=0.04

Q: The average annual salary of an NBA player increased from $170 thousand in 1980 to $2.6 million in…

A: Let the exponential relationship between years (t) and Annual salary (S) is given by    S = AeBt + E…

Q: Assume that an investment is made at 7.1% per year, compounded continuously. What is the tripling…

A: The compound interest formula is defined as, A=P1+rnnt where: A: is final amountP: is principal…

Q: account with an APR of 4.7% compounded continuously. Write a function A that determines the value of…

A:

Q: If sales are 43,453, 44,251 and 38,501 for 2018, 2019 and 2020, what would you forecast for 2021…

A: It is known that 2018 sale 43 ,453 2019 sale 44,251 and 2020 sale 38,501 weight=0.82

Q: An investment will generate income continuously at the constant rate of $1000 per year for 6 years.…

A: For continuous income stream, we have

Q: Suppose income from an investment starts (at time 0) at $6000 a year and increases linearly and…

A: While calculating compound interest, the addition of interest to the principal sum of a loan or a…

Q: A student is 19 years old and the world has a population of 6.6 billion. Assuming that the…

A: Given Present population (P) = 6.6 Rate (R) = 0.6% Time  (n) = 72-19= 53

Q: 2. The U.S. Fish & Wildlife Service has monitored the number of bald eagle breeding pairs in the…

A:

Q: 19) An investment of $5000 grows to a value of $7500 in 4 years. What is the interest rate of the…

A: Finding the rate of interest

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

A:

Q: Suppose that $7000 is deposited in a savings account that pays 9% per annum, compounded biannually,…

A: A=P1+rmmt=70001+0.0922t Thus, the account balance is At=70001+0.0922t.

Q: If sales are 32,897, 50,457 and 45,293 for 2018, 2019 and 2020, what would you forecast for 2021…

A: Given that sales are 32,897, 50,457 and 45,293 for 2018, 2019 and 2020. And weight is 0.5. We have…

Q: Suppose you plan to have $30,000 in 10 years from now and you can invest your savings at 2%…

A:

Q: Section 2.2 (89). Rock Solid Bank & Trust is offering a CD (certificate of deposit) that pays…

A: According to the given questionRate of interest (r) = 4% = 0.04Principal (P) = $1000Time (t) =…

Q: Country A haS a growth rate of 3.296 per year. The population is currently 5,965,000, and the land…

A: Let P be the population of country A after t years. Given that the growth rate of country A is 3.2%…

Q: 10.A savings bond offers interest at a rate of 6.0%, compounded monthly. Suppose that an $8000 bond…

A: We are given a savings bond, so here we can use the formula Amount = Principal1+rnnt

Q: number of Android smartphone users has grown exponentially since it was first introduced to the…

A: Given query is to find the expression for number of users after 2010 then find the time when it…

Q: According to a September 9, 2007, article in ZDNet, the number of Facebook users "is growing at 3 to…

A:

Q: a) Forecast the percentage of tax returns that will be electronically filed for 2010 using…

A: Time series analysis

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.