Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5 million. After 2 years, the value decreased to 1.2 million. If the amount of the car is directly proportional to the constant rate of decay in amount and such decrease in amount continues at the same rate, then how much is the estimated value of the car after 10 years?

Q: 5. An electric car is listed at $60,000 and depreciates by 47% per year. (a) Find its value after 4…

A: Given: An electric car is listed at $60000 and depreciates by 47% per year.

Q: If $500 is invested at 4% interest, compounded annually, then after n years the investment is worth…

A: We need to find out that after 6 years what will be the invested amount become.

Q: Find an equation for the balance t years after January 1, 2010 Find the balance at the beginning of…

A: Given, initial balance = Principal = p = 5000 time period = t years rate of interest = r =  5% per…

Q: Keisha has decided to invest $5500 each year into an annuity. If the account pays interest at a rate…

A: We have to find the balance after 12 years.

Q: An account now contains $3,670 and has been accumulating interest at 5% annual interest, compounded…

A: We have to find the amount in the account 5 years ago.

Q: Suppose that you have $2500 to invest at 4% compounded continuously.  The accumulated amount after…

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Q: How long will it take an investment of $8,000 to grow to $10,000 if the investment earns interest at…

A: The compound interest formula ( if the interest is compounded on daily basis) is given by:

Q: Leonard's current salary is $65,000. Ten years from now, how much will he need to earn to retain his…

A: Given information Present annual salaryP=$65,000 Rate of inflationr=3% per year compounded…

Q: A farm purchased in 2000 for $1 million was valued at $3 million in 2010. If the farm continues to…

A: Given that A farm purchased in 2000 for $1 million was valued at $3 million in 2010. If the farm…

Q: Suppose an investment of $5000 is compounded continuously at an annual interest rate of 4%. At the…

A:

Q: If Hannah places $ 4500 into an account earning 7.25% interest compounded continuously, how much…

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Q: Jackson deposited $5,000 at 3.6% interest rate, compounded continuously when he was 18 years old.…

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.