A company buys a machine for $475,000 that depreciates at a rate of 30% per year. Find a formula for the value of the machine after n years. What is its value after 5 years?

Q: provided if necessary.)   Write the smallest possible whole number answer.

A:

Q: To find the amount A in an account after t years with principal P and an annual interest rate r (in…

A: Given: To find the amount A in an account after t years with principal P and an annual interest rate…

Q: A sum of $1000 was invested for 4 years, and the interest was compounded semiannually. If this sum…

A: Compound interest formula is where P is principle amount. A is final amount. r is rate of interest.…

Q: Howard needs $6000 for a future project. He can invest $4000 now at a rate of 8.5%, compounded…

A: Given that Howard invest $4000 at rate of 8.5% compounded semiannually. To find the time when amount…

Q: An account that’s yields 6% simple interest  annually has $2,000 how much will be in the account…

A:

Q: if $300 is invested at 7% compounded what is the amount after 5 years? how much interest is earned?

A: The amount Awhen the interest is compounded annually is calculated as A=P1+r100t, where P is the…

Q: How much time will be needed for $17,000 to grow to $18,778.58 if deposited at 4% compounded kt…

A:

Q: A principal of $4200 is invested at 3.5% interest compounded annually. How much will the investment…

A: A=P1+rnntWhere, A is the final amount,P=Principal investment,r=rate of interestn=number of times…

Q: Explain why the amount of money in the account at the end of t years is given by the formula: P P 1+

A: Let us consider the interest compounded twice in a year.  Let yearly interest rate be r  and half…

Q: $20,000 is invested at 3.5% interest compounded monthly. How long will it take for the investment to…

A: Given:Principal amount (P) = $20,000Final amount (A) = double the principal amountInterest rate (r)…

Q: $1000 is invested at 6% compounded yearly. According to the rule of 72, how many years will it take…

A: We can find the required time period as below.

Q: A 20% compounded quarterly has an equivalent rate of 3.9804%, how many times does it pay every year?…

A:

Q: A deposit of $659 earns $15.10 interest at a rate of 4.5%. For how many days was this money on…

A: Solution

Q: How long will it take for P 46, 450.00 to earn an interest of P14, 000 invested at 13.5% simple…

A: To solve the given question we shall use the following formula…

Q: use the formula A = P (1 + r/n)nt to find the total amount of money accumulated at the end of the…

A:

Q: P = $3000, r = 5% compounded monthly, t = 5 years

A:

Q: A principal of $4600 is invested at 7% interest, compounded annually. How many years will it take to…

A: A=P(1+r/100)t   Here a is amount p is principle  r is rate of interest and t is time in years

Q: How much would you have to invest at 3% interest compounded annually in order to have $15,000 at the…

A:

Q: You invested $28,000 in two accounts paying 8% and 9% annual interost, respectively. If the total…

A: Let the amount invested at a rate of 8% is x. Since the total amount invested is $28000, so the…

Q: 4. If Amara wants to double her money in five years, at what rate of interest will she invest her…

A: According to the Bartleby guidelines only one question can be solved at once, post the remaining…

Q: O $30,000 is invested at 6% interest compounded quarterly, Using the formula A= P(1+)nt determine…

A: A=31500$

Q: Jack invests $1500 at a certain annual intrest rate, and he invests another $3000 at an annual rate…

A: Let us say he invested $1500 at x% annual interest rate. And, thus he invests $3000 at (x+0.5)%…

Q: Name the formula that you use to solve the following problem. How much money should be deposited…

A:

Q: what is their combined wealth after five years?

A:

Q: Pascal receives a financial gift from his grandparents, which he invests at an interest rate of 5.5%…

A:

Q: using the formula: a=p(1+(r/n))^(nt), determine how many years, to the nearest hundredth, it will…

A: We have  Principal investment, P = $30,000 Rate, r =1% interest compounded monthly We have to find…

Q: $20,000 is invested at 3.5% interest compounded monthly. How long will it take for the investment to…

A:

Q: Ms. Roberts decided to invest some money in an insurance company with an interest rate of 9%…

A: Given that interest rate is 9%. The formula for calculating compound interest is given by, A= P(1+…

Q: A new car is purchased for $50, 000 and over time its value depreciates by one half every 5 years.…

A: The initial value of the car is 50,000 After 5 years the car value is depreciated by one half so…

Q: A loan of $37,000 is made at 5.75% interest, compounded annually. After how many years will the…

A:

Q: A machine is valued at $10,000. If the depreciation at the end of each year is 20% of its value at…

A:

Q: A new car is purchased for $35,000 and over time its value depreciates by one half every 6 years.…

A: Given  Initial Cost of car = $35000 its value depreciates by one half every 6 years

Q: A loan of 18,000 is made at 4.5% interest, compound annually. After how many years will the amount…

A: Given, Principal = p = 18,000Rate of interest = r = 4.5%  compounded annually Amount = A  ≥24, 000…

Q: A construction company buys a bulldozer for $25,000. The company expects the useful life of the…

A: Substitute 7000 for S, 25000 for C and 12 for n in the given formula to calculate the value for r.

Q: T= 0,025 If you invest $10,400 in the United States, and the interest is compounded monthly, when,…

A: Given Principle value P =$10,400 Amount A=$20,000 Rate  of interest r=0.025 To find when the amount…

Q: A loan of $42,000 is made at 8.75% interest, compounded annually. After how many years will the…

A:

Q: Use the formula A = P(1+ )" to find the total amount of money accumulated for an initial investment…

A: Given  Investment P = $600 Interest rate r = 8% compounded semiannually Times t = 9 years To find…

Q: An investment of $3000 increases at a rate of 3% per year What is the value of the investment after…

A: Topic = Algebra The value of the investment after 30 years is $5700.

Q: A principal of $1700 is invested at 5.5% interest compounded annually. How much will the investment…

A: Please see the answer in Step 2

Q: A 3% compounded bi-monthly has an equivalent rate of 1.508%,how many times does it pay every year? O…

A:

Q: A stock broker allocated $100,000 to an account earning 4% per year compounded continuously. If no…

A: Given problem Given that   A stock broker allocated $100,000 to an account earning 4% per year…

Q: Using the formula A=P(1+r/n)^nt, calculate the interest earned in 6 years on $865 deposited in an…

A:

Q: Carly wants to invest $1000 in an account that earns 8% interest, compounded quarterly. How many…

A:

Q: A principal of $1500 is invested at 3.75% interest, compounded annually. How many years will it take…

A: Principal Amount = P = 1500 $Interest rate = r = 3.75 %Amount = A = 2000 $We have to calculate the…

Q: Find the compound amount on P10,000 at 5 2% for 4 years and 6 months compounded quarterly. A.…

A: We can find the compound interest as below.

Q: Jerome will be buying a used car for $12,000 in 2 years. How much money should he ask his parents…

A:

Q: What is the balance in a college fund after 20 years if $5000 was invested at 5% nt compounded…

A: The principle invested is P=$5000. The time period is 20 years. The rate of interest is 5% and it is…

Q: A principal of $3800 is invested at 8.5% interest, compounded annually. How many years will it take…

A:

Q: A machine is valued at $10,000. If the depreciation at the end of each year is 10% of its value at…

A:

Q: A credit union pays 6.8​% annual interest compounded daily. What deposit today​ (present value)…

A: Consider P is principal, r is rate of interest compounded n times a year and t is time for the…

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.