Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5 million pesos. After 2 years, the value decreased to 1.2 million pesos. 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: Suppose you deposit money in an investment account that pays 5% annual interest compounded…

A: r=5%=0.05 Let P be the invested money and let it be doubled in t years.

Q: An amount of $120 is invested in a saving account that accrues 4.5% CCI. If after certain time, the…

A: Solution : We have given the initial amount invested that is $120 and interest rate is 4.5%. We…

Q: An account pays interest at a continuous compounded rate of 0.05 per year. Continuous deposits are…

A: Using the formula of future value of annuity we find the balance after at the end of 10 years

Q: The value of a car is decreasing by 1.5% per month. Suppose depreciation continues at this rate. (a)…

A: r=-1.5% suppose purchase price =p time ,when car price=p/2

Q: Over an 8 year period, Mark's investment rose from $12,000 to $27,500. Assuming continuous…

A:

Q: 3) Suppose that you have $6,000 to invest. Which investment yields the greater return over 4 years:…

A:

Q: At the end of each month, interest of 1.3% of the amount in an account at that time is added to the…

A: Since, you have posted multi parts questions but according to guidelines we will solve first three…

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: How much will a deposit of 5000 taka grow to in 20 years at 6% interest compounded continuously?

A: If the interest is compounded continuously, then the following formula is used. A=Pert , where, A is…

Q: shirt factory has just installed a boiler that will last for 35 years.  It is expected that there…

A:

Q: 8. How much more does $1,000 earn in 8 years, compounded daily at 3%, than $1,000 over 8 years at…

A:

Q: If $24,000 is invested in a savings account yielding 6% per year, compounded semiannually, how fast…

A:

Q: You borrow $5000 now and agree to pay this whole amount back in three payments: OW

A: Given, you borrow $5000  now and agree to pay this whole amount back in three payments:Payment 1. $X…

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: Suppose $100 is withdrawn at the EOY 2026, emptying an account that earns 7% interest, compound…

A:

Q: 27. How long will it take money to double if it invested at 6% compounded monthly? 9% compounded…

A: If P=initial investment, r = interest rate compounded monthly  and A= amount after t years , then we…

Q: You deposit sh. 250,000 in an account that pays 10% interest per annum, compounded continuously.…

A: Given, The amount deposited in an account = 250,000  The rate of interest = 10 % per annum…

Q: At what interest rate will money treble if compounded continuously for 18 years?

A:

Q: How long will it take for an amount of money to treble if it is invested in a fund with an interest…

A: To determine how long it will take for an amount of money to treble (i.e., become three times its…

Q: Dante’ invested $40,000 in an account that pays out 11% compounded annually. What is the amount…

A:

Q: If real estate in a certain city appreciates at the yearly rate of 15% compounded continuously, when…

A: The question mentions that the value of the real estate in a certain city appreciates at a rate…

Q: If after 75 months the amount of Php 25000 becomes Php 30000, what is the annual rate of continuous…

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.