A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the account be worth in 20years?    What if the deposit was calculated using simple interest?   Could you see the situation in a graph?    From what point one is better than the other?

Q: Samuel is going to invest $4,900 and leave it in an account for 14 years. Assuming the interest is…

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Q: What sum must be deposited today at 8 percent per year compounded annually if the goal is to have a…

A: When the interest is compounded, then the formula used is A=P1+rnnt, where, A is the final amount, P…

Q: Suppose you as a businessman leave an initial amount of 600$ in savings account at an annual rate of…

A: Simply use the formula of the Compound interest.

Q: Assume that cigarettes cost $9.50 per pack and consider a 20 year old  college student smoker who…

A: Here given  cost of 1 cigarette= $ 9.5 and college student somkes 16 packs per month  And now he…

Q: Suppose that you had the opportunity of investing 5000$ in a business such that the value of the…

A: Given  that Investing 5000$ in a business increases the value to 6300$ after 5 years.

Q: A business sets up a sinking fund so they will have a $51,000.00 to pay for a replacement piece of…

A: We will find out the required value.

Q: Assuming that you invest $13,000 in the United States, how long (to the nearest year) must you wait…

A: The formula for compound interest is, A=P1+r100n where, A is compounded amount P is the Principal…

Q: What is the future value of an account if $10,000 is invested at a rate of 3% compounded monthly for…

A: P=initial amount= 10,000 r=interest rate=3%=0.03 n=number of times compounded in a year= 12 t=number…

Q: If you save $270 per quarter for retirement in an account that earns 8% interest per year compounded…

A: Given; Saving $270 per quater Rate of interest = 8% Compounded quaterly, n=4 Number of years=…

Q: After several years of working, Katy has savings of $100,000. If she invests that $100,000 in a…

A: Consider the provided question, Given Principal = $100,000 Time = 20 years Rate of interest = 5%

Q: What interest rate enables an imvestor to obtain a 70% increase in an investment in 2 years if the…

A: In this question, the concept of Compound interest is applied. Compound Interest Compound interest…

Q: you invest 5,000 in an account that earns an apr of 3 percent with quarterly compounding what will…

A: Principal amount = P = 5000

Q: Pamela invests $16,300 in a savings account for which interest is compounded monthly, and if the…

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Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated…

A: We have to find the future value FV of an investment of $10,000 at the stated interest rate after…

Q: Sophia is going to invest $7,900 and leave it in an account for 6 years. Assuming the interest is…

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Q: The AMD investment company has advertised a new Mutual Fund  that has advertised to pay 10 %…

A: new Mutual Fund that has advertised to pay 10 % compounded continuously. Bob invested $ 8,500 in the…

Q: What amount must be invested now to have $12,000 after 3 years if money is worth 6% compounded…

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Q: A family wants to have a $170,000 college fund for their children at the end of 17 years. What…

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Q: At what simple interest rate will an amount of money double itself in 10 years?

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Q: Matilda and Horace open a retirement account with $120,000. How many years will it take for the…

A: Find the time taken for the amount $120,000 to grow to $800,000 if it grows at a rate of 4.5%…

Q: Tom deposits $25,000 in a savings deposit paying 5%, compounded monthly.  What amount would he have…

A: Given that ,principal amount that investedP=$25,000the rate of interest r=5%=5100=0.05time in…

Q: Calculate, to the nearest cent, the present value of an investment that will be worth $1,000 at the…

A: Given:-A=$1,000Period (t)=5 years Interest rate (r)=5.7%=5.7100=0.057n=52Apply the fomula  Present…

Q: A​ woman, with her​ employer's matching​ program, contributes ​$800 at the end of each month to her…

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Q: If the inflation rate is 4% compounded annually, how long will it take for prices to double? years…

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Q: A man expects to receive P20,000.00 in 10 years. How much is that money worth now considering…

A: Given problem is : A man expects to receive P20,000.00 in 10 years. How much is that money worth…

Q: Solve the problem 12) If inflation is 3% a year compounded annually, what will it cost in 6 years to…

A: Recall the following fact.

Q: Eight thousand dollars has to be invested for 10 years. For each option below,…

A: P = $8,000 t = 10 years. a).

Q: A 40-year-old consulting engineer wants to set up a retirement fund to be used starting at age 65.…

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Q: an

A: Given that : Accounting pay = 7% In-order to calculate the future value factor formula = (1 +…

Q: no given value so i was thinking of doing 1000? =3p a little confused

A: Take the present value as P, so the future value will become 3P. A(t) = P[1+r/n]nt P= present value…

Q: Part 2: Compound interest 1. What is the present value of Php65,000 at 11% compounded annually for 4…

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Q: A retiree requires an annual income of at least $9000 from an investment paying 7.5% annual…

A: Given: A retiree requires an annual income of at least $9000 from an investment paying 7.5% annual…

Q: If you have an investment of $1000 that grows at a rate of 6%, compounded annually, how much will it…

A:

Q: A family wants to have a $180,000 college fund for their children at the end of 18 years. What…

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Q: If 32100 dollars is invested at an interest rate of 5 percent per year, find the value of the…

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Q: If 32800 dollars is invested at an interest rate of 8 percent per year, find the value of the…

A: A=P1+rnntwhere P = principal amount (the initial amount you borrow or deposit )r = annual rate of…

Q: If 23200 dollars is invested at an interest rate of 7 percent per year, find the value of the…

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Q: How long would it take to double your money in an account paying 6% compounded quarterly?…

A: Use the following formula to calculate amount, as follows: A=P1+r100n

Q: A student opens a credit card and immediately maxes it out by putting $2,000$2,000 on it in order to…

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Q: Suppose you are 30 years old and would like to retire at age 65. Furthermore, you would like to have…

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Q: An individual's salary is now $50,000 per year and he anticipates retiring in 30 more years. If his…

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Q: What will a $90,000 house cost 4 years from now if the price appreciation for homes over that period…

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Q: If saving account awards interest of 3 percent per year compounded semiannually, what amount must…

A: In case of interest compoundedly semiannual Rate = annual rate/2 Time = 2* annual time Hence rate=…

Q: suppose you invest $6000. Which investment yields the greater return over 4 years 8.25% compounded…

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Q: Bank A pays 4% interest compounded annually on deposits, while Bank B pays 3.5% compounded daily.a.…

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Q: Suppose Kylie has an account that will grow to $423,000.00 in 22 years. It grows at 4.9% annual…

A: We have to find the additional monthly contribution to meet the goal.

Q: Find the future value if $3000 is invested for 5 years at 8% compounded annually.

A: Consider the formula to find the future value FV=PV1+iffn where PV is the present value, i is the…

Q: Question 4 Priscilla invested $20,000 at a rate of 12% over 5 years. Much to her surprise, he…

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Q: After several years of working, Katy has savings of $100,000. If she invests that $100,000 in a…

A: Given Principal = $100,000, Time, n = 20 years and Rate of interest, r = 5%. Obtain the interest…

Q: In the future, it is estimated that university will cost $200,000 per student. How much would have…

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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.