Dale has $1000 to invest. He has a goal to have $2500 in this investment in 11 years. At what annual rate compounded continuously will dale reach his goal?

Q: Ford needs $800 for a down payment on a car he would like to buy in 3 years. He found an account…

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

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Q: Charlie invests $8,000 into an account to save for college. If the investment is compounded annually…

A: We know, when a Principal amount ( P ) is compounded annually with an interest rate 'r' % and for 't…

Q: You deposit $4000 in an account earning 2% interest compounded continuously. How much will you have…

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Q: Jason has $100,000 to invest in a savings account. He has two options: Option A earns 4% interest…

A: In the question it is asked to calculate the amount of money from the more valuable account in 10…

Q: Sue puts $6000 in an investment account that earns 4% annual interest compounded continuously.  When…

A: Here, rate, r=0.04 initial investment, P=6000 Final investment, A=20,000

Q: Mary invests $1500 in an account that earns an interest rate of 4% compounded continuously. Will she…

A: The objective of this question is to determine whether Mary will have enough money in her account…

Q: Hannah wants to have $ 7500 to help pay for a new deck in 10 years. If she wants to put her money…

A: Given Future value =7500 r= 0.085 t=10 years

Q: Hannah wants to have $ 4500 to help pay for a new deck in 7 years. If she wants to put her money…

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Q: Angel invests in a continuously compounded account at 2.6% interest for 12 years. At the end of…

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Q: Approximately how long it would take an investment of 5,000 to double with an interest rate of 3.5%

A: Given that, Investment or principal (P) = 5000 Rate of interest (r) = 3.5% Amount (A) = 2 x 5000 =…

Q: If you invest $1000 at 7% annual interest compounded monthly, how many years will it take for the…

A: let invest amount is P annual rate is r month n =12 years = t amount after t years is A =3000 A =…

Q: Darren accumulated $9,000 in credit card debt. If the interest rate is 4.1% per year and he does not…

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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.