Find how much money needs to be deposited now into an account to obtain $6,200 (Future Value) in 9 years if the interest rate is 7.5% per year compounded continuously. The final amount is $ . Round your answer to 2 decimal places

Q: How long will it take $12,000 to grow to $15,000 if the investment earns interest at the rate of…

A: We can solve the problem by following steps.

Q: Assume that there are no deposits or withdrawals An initial investment of $6,000 earns 8.7%…

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Q: What interest will be earned if $6600 is invested for 2 years at 12% compounded monthly? (Round your…

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Q: If $1500 is invested at an interest rate of 5.75% per year, compounded quarterly, find the value of…

A: Here we find the compound interest on investment.

Q: Tracy purchased a 15-year franchise for a computer outlet store that is expected to generate income…

A: The formula for compounded continuously PV=∫0TP(t)e-rtdt P(t) is given as P(t)=50000+3000t Where 'r'…

Q: Suppose that a savings account attracts an interest rate of 1.6% per annum. How much would need to…

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Q: If 10 thousand dollars is invested at an interest rate of 5 percent per year, find the value of the…

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Q: In the year 1977 a new house was appraised at $182000. According to the CPI data, how much should a…

A: Given that, In the year 1977 a new house was appraised at $182000.

Q: t 1 10 20 30 40 50|

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Q: What interest will be earned if $6000 is invested for 5 years at 13% compounded monthly? (Round your…

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Q: Find the interest rate required for an investment of $3000 to grow to $4000 in 6 years if the…

A: Given: investment : A=$4000Principal: P=$3000,  t=6 Use formula for compounded continuously, which…

Q: Complete the table below giving the amount P that must be invested at interest rate 5.5 % compounded…

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Q: Find the time required for an investment of 5000 dollars to grow to 6300 dollars at an interest rate…

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Q: Assume that there are no deposits or withdrawals. An initial investment of $4,000 earns 7% interest,…

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Q: An investment of $3,700.00 earns 19.7% annual interest, compounded continuously. If no funds are…

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round your…

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Q: If $2000 is invested in an account for which interest is compounded continuously, find the amount of…

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Q: Find the present value of amount. $26,000 if interest is 3.75% compounded continuously for 7 years

A: Given: $26,000 if interest is 3.75% compounded continuously for 7 years. To Find: The present value…

Q: If you deposit $300 each quarter into an account earning 3.2% compounded quarterly, how many years…

A: The future value (FV) of an annuity A with interest rate per period of r, over n periods is given…

Q: If $2000 is invested at an interest rate of 4.5% per year, compounded daily, find the value of the…

A: Given that the initial investment = P = $2000 Interest rate=r= 4.5%= 0.045  Number of times…

Q: What interest will be earned if $6100 is invested for 7 years at 13% compounded monthly? (Round your…

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Q: Find how much money needs to be deposited now into an account to obtain $3,900 (Future Value) in 7…

A: We have to find

Q: Find how much money needs to be deposited now into an account to obtain $2,600 (Future Value) in 12…

A: The future value of an amount can be calculate using the formula, FV=PV(1+r)n where FV is the future…

Q: When your first child is born, you begin to save for college by depositing $700 per month in an…

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Q: Mr. and Mrs. Kelly hope to send their daughter to college in eleven years. How much money should…

A: Amount in Continuously Compounded interest is:

Q: How much should a mother invest at the time her daughter is born in order to provide her with…

A: A mother invest at the time her daughter is born in order to provide her with$95,000 at age 18. The…

Q: Twenty years ago, Euler deposited $3000 into a college savings account which pays 4% interest,…

A: We can find the current value of the investment as below using continuous  compound interest…

Q: Mr. and Mrs. Thomas hope to send their son to college in 11 years. How much money should they invest…

A: Given problem:- Mr. and Mrs. Thomas hope to send their son to college in 11 years. How much money…

Q: Find the amount that results from the given investment. $700 invested at 3% compounded quarterly…

A: If P is investment amount, ris rate as a decimal, n is number of compoundings per year and t is time…

Q: How much money needs to be invested now to get​ $2000 after 4 years at​ 8% compounded​ quarterly?…

A: Let's find.

Q: years

A: Compounded quarterly, i.e. 4 times every year,    Investment  =  $1400  Rate  =  3.75%  =  0.0375…

Q: Nathan invested $80,000 in an account paying an interest rate of 6% compounded continuously.…

A: The formula for the amount if the interest is compounded continuously is  P = P0ert where Pis the…

Q: Find the time required for an investment of 5000 dollars to grow to 6200 dollars at an interest rate…

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Q: If you invest $1200 in an account paying 9% compounded continuously, how much money will be in the…

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Q: Find the compound amount and the amount of interest earned by the following deposit. $5600 at 3.2%…

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Q: Assume that there are no deposits or withdrawals. An.initial.inv.estment of $2,000 earns 7%…

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Q: What interest will be earned if $6500 is invested for 2 years at 11% compounded monthly? (Round your…

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Q: If $500 is invested at an interest rate of 3.75% per year, compounded quarterly, find the value of…

A: Consider the following information: PrincipalP=$500Rate of interestr=3.75⁒n=4 Compound interest…

Q: Calculate the amount of INTEREST earned in an account with initial investment of $25,000 in 10 years…

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Q: What interest will be earned if $6600 is invested for 7 years at 10% compounded monthly? (Round your…

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Q: What present value amounts to $20,000 if it is invested for 15 years at 7% compounded annually?…

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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: What annual interest rate would allow Karen to double her investment if it is compounded quarterly…

A: The compound interest formula for an initial amount P deposited for a time period of t at a rate of…

Q: If $200 is invested at 6% compounded (A) annually, (B) quarterly, (C) monthly, what is the amount…

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Q: Find the amount of time required to double an amount at 5.84% if interest is compounded…

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Q: Find the amount that results from the given investment. $500 invested at 4% compounded quarterly…

A: Formula used:Future value formula

Q: Find the amount that results from the given investment. $600 invested at 8% compounded quarterly…

A: Formula used:The future value formula:

Q: Ben franklin bequeathed $4000.00 to the city of Boston in 1790. Assuming the fund grew to $15…

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Q: Assume that there are no deposits or withdrawals. An initial deposit of $14,000 earns 8% interest,…

A: here we will find final amount in account after 6years with compound interest,

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.