2. Assuming no withdrawals during the investment, how many years will it take for $500, invested at 2% yearly interest compounded continuously, to grow to $5000? Show all work. Express the answer as a numerical value, but without e and without In.

Q: You have 48,000 saved. How long will it take for that to double in value if it is 10% compounded? a)…

A: a) Initial amount =P= 48000 Final amount= A= 2(48000)=96000 Interest rate = r= 10%=0.10 time = t=?…

Q: w much money does Stewart have to invest at 2.9% interest compounded continuously to have $28,000…

A:

Q: Find the time required for an investment of 5000 dollars to grow to 6200 dollars at an interest rate…

A: We will use the compound interest formula to find the time.

Q: Hannah wants to have $6000 to help pay for a new deck in 10 years. If she wants to put her money…

A: Time has been valuable in all aspects but in terms of finance, time has a money value. The worth of…

Q: tamika borrowed $8000 at 11% compounded continuously. finf the time required for the amount for the…

A: Given,Tamika borrowed $8000 at 11% compounded continuously.i.e., P=8000, r=11%=0.11

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

A:

Q: You are going to make an investment with an 8% APR compounded continuously. In ten years, you want…

A: You are going to make an investment with an 8% APR compounded continuously. In ten years, you want…

Q: Suppose that $1,000 is invested at 5% interest compounded continuously. Use the formula A = Pert.…

A: It is given that $1,000 is invested at 5% interest compounded continuously. That is, P=1000,r=5%.…

Q: Determine the balance for $50000 invested at 3% for 15 years compounded 4 times per year. (Use this…

A: Given data,  Invested amount (P) = $50,000 Interest rate (r) = 3% = 0.03 Period(t) = 15 years…

Q: Find the length of time required for $1000 to double if the money was invested at 9%/a compounded…

A:

Q: The simple interest on a $3,000 loan at 6% per year amounted to $1080. At what time t did the loan…

A:

Q: A building was bought for $130,000 and sold 17 years later for $470,000. What interest rate…

A: We will find which formula is appropriate and what should be the next logical step as following.

Q: invested 10 years ago into an account 2.5% interest compounded continuously. If current balance is…

A:

Q: Assume $3000 is invested at 8%. Find a model for the growth of this investment, if the interest is…

A: Given information:Assume $3000 is invested at 8%.

Q: Determine the principal P that must be invested at interest rate r, compounded continuously, so that…

A: Future amount, A = $1,000,000 Rate of interest, r = 10% = 0.1 Time, t = 25 years

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.