A continuously compounded investment grows at a rate directly proportional to the amount it is worth, or dAdt=kAdAdt=kA. The general solution to this differential equation is A=PertA=Pert, where P is the initial investment.A $13500 investment is made in an account that pays 3.5% compounded continuously.A) How much will the investment be worth after 8 years? $   B) When will the investment be worth $18200?  years   C) How long will it take for the investment to double in value?  years

Q: After depositing an initial amount of $17,000 in an account that eams 7% interest compounded…

A: Given,Annual Rate of deposits=2800-400tInitial amount(P0)=$17,000Rate of interest,r=7%To find: a)…

Q: If $3000 is invested in an account earning 11% annual interest compounded continuously, then the…

A:

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

A: Given: Initial amount, A=$16,000. Annual rate of interest, r=7%. Future value is given by the…

Q: After depositing an initial amount of $10,000 in a savings account that earns 4% interest compounded…

A:

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: 4) Consider an investment of $6000 that earns 4.5% interest. A) Write an equation to describe the…

A: We have to find the equation, final amount and time.

Q: (A.)Alice puts $7,650 in an investment account that earns 4.75% interest annually. How much money…

A:

Q: How long will it take an investment of $2000 to grow to $3000 at an interest rate of 6% compounded…

A:

Q: A $4,000 deposit is made at a bank that pays 6% compounded annually. At the end of years what…

A:

Q: A population grows according to an exponential growth model. The initial population is Po = 3, and…

A:

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.