Suppose that $10,000 is invested at rate k, compounded continuously, and grows to $15,851.32 in 7 years.  What is the Intrest Rate, growth function, balance after 10 years, and doubling time.

Q: How many years are required for P20,000 to increase to P30,000 if invested at 16% per year…

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Q: How much money needs to be deposited now into an account to obtain $3,300 in 14 years if the…

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Q: If you invest $500 in an account that has an intrest rate of 4.5% compounding monthly,    a) how…

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Q: How long will it take an investment of $4000 to grow to $10000 if it is invested in an account that…

A: Topic = Algebra   A=P1+rnntA=Final amountP=Principalr=rate of interestn=1 for anuallyt=time

Q: Suppose that the income stream of a business is 12000e0.02t dollars per year for 10 years. At an…

A: Given ft=12000e0.02t rate = r = 4%=0.04

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

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Q: an investment of $7740 grows to $9635 in 6 years at continuously compounded interest, what is the…

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Q: If you borrow $8,500 at 4% interest, what is the amount that you will owe in five years if…

A: To find the amount owe in 5 years if compounding continuously :

Q: Suppose £5000 is invested for five years. Calculate the amount accumulated at the end of five years…

A: given, Invested amount (P)=5000 Time period (t)= 5 years and the interest is compounded contiuously…

Q: If $25,000 is invested at 9% compounded continuosly, then how long will it take for the investment…

A: Given :- Rate of Interest (R) = 9 %               Present Value (P) = $ 25000               Actual…

Q: Suppose that you have $10,000 to invest. Which investment yields the greatest return over 5 years 5%…

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Q: If $15,500 is invested at a rate of 7.5% per year compounded monthly a) after 1 month b) after 6…

A: Given $15,500 is invested at a rate of 7.5% per year compounded monthly To find the amount a) after…

Q: A town has a population of 3000 and grows at 4% every year. To the nearest tenth of a year, how long…

A: Since there are multiple questions posted, we will answer the first question. If you want the…

Q: How much money must be deposited today to become $1800 in 50 years at 7.5% compounded continuously?

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Q: If an investment of $7740 grows to $9635 in 6 years at continuously compounded interest, what is the…

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Q: Find the interest rate r needed for an investment of $4000 to grow to $28,000 in 6 years if interest…

A: We will use future value formula to find interest rate

Q: Find the accumulated amoust of P6,428 at the rate of 11% compounded continuously after 6 years.

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Q: 2. How long will it take$5000 to grow to $20,000 if the investment earns interest at the rate of 6%…

A: Given data,  Initial amount (P) = $5000 Final amount (A) = $20000 Interest rate (r) = 6% = 0.06…

Q: If money is worth 7% compounded continuously, find the equated time for paying a loan of P 200,050…

A: Given: Rate of interest, r = 7% Loan amount due in 2 years, A1 = P200,050 Loan amount due in 4…

Q: 7. How many years would it take for $450 to amount to $5000 if it is invested at 3.9% per annum…

A: The initial amount is: $450 The compound interest is: 3.9% The amount interested per annum…

Q: Suppose that $2000 is invested at a rate of 4.9% , compounded annually. Assuming that no…

A: We know that ,A=P(1+r100)n Where Principal (p)=2000rate of interest (r)=4.9Number of year…

Q: If $6,000 is invested at 3% compounded continuously, what is the amount after 7 years? The amount…

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Q: find the present value of $100,000 if interest is paid at a rate of 8% per year, compounded…

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Q: Suppose you invest R10000 over a period of 6 years. If money is compounded continuously, the annual…

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Q: How much will $100 grow to if invested at a continuously compound interest rate of 8.5% for 9 years?

A: The compound interest formula for an amount P compounded annually at an interest rate of r% for a…

Q: Suppose you have $3000 to invest. Which investment yields the greater return over 10 years: 6.5%…

A: Let's consider the given scenarios:                          When the interest is compounded…

Q: A person wishes to invest $10,000 and wants the investment to grow to $20,000 over the next 10…

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Q: 4. How long will it take $2,000 to grow to $24,000 if it is invested at 7% compounded monthly?

A: Given that  P=Principal amount= $2000                                              A=Annual rate of…

Q: Suppose $7000 is invested at 1.32% interest. (a) How much will the account grow to in 10 years if…

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Q: . Suppose £6500 is deposited at a nominal rate of interest of 5% per annum. ( icurate: The value of…

A: Let us solve the compound interest problem in the next steps.

Q: How much more will an investment of $15,000 earning 6.5% compounded continuously for 5 years earn…

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Q: Carter is going to invest $79,000 and leave it in an account for 12 years. Assuming the interest is…

A: Simply use the formula for compound interest.

Q: If $20,000 is invested at a rate of 5% per year compounded continuously, find the value of the…

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Q: Diego deposited a certain sum of money in a bank 2 years ago. If the bank had been paying interest…

A: For the following problem,

Q: checking Homework. Show Work.

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Q: Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is…

A: Simply use the formula for compound interest.

Q: Suppose an individual wants to have $190,000 available for her child’s education. Find the amount…

A: To find the amount that would have to be invested

Q: Suppose $16,000 is invested in an account with an APR of 4.7%. If the interest is compounded…

A: Given  Amount invested= $16,000 APR= 4.7%

Q: Suppose $16,000 is invested in an account with an APR of 4.8%. If the interest is compounded…

A: Explanation: Given that,  P0 =  $16,000  APR(r) = 4.8% = 0.048 1.  If the interest is compounded…

Q: Mr. Johnson invested R25 000 at a rate of 9,95% p.a. compounded quarterly. How long will it take for…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

Q: Suppose that you have $14,000 to invest. Which investment yields the greater return over 10 years:…

A: To Determine : Which investment yields the greater return . Given: Suppose that you have $14,000 to…

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

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Q: What present value P amounts to $280,000 if it is invested at 8%, compounded semiannually, for 16…

A: If investment or present value = $P interest rate = r  compounded m times per year. and time period=…

Q: Find the time it takes for $7,800 to double when invested at an annual interest rate of 14%,…

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Q: find the interest rate needed for an investment of $5000 to grow to an amount of $7000 in 9 years if…

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Q: If ₱1,000 is invested at 4% per annum compounded yearly, what is the value of the investment after…

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Q: How much money must be deposited today to become $2450 in 60 years at 6.5% compounded continuously?

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Q: If $400 is invested at 17% compounded quarterly, what is the interest earned after: a) 6 years…

A: FV = Future Value   PV = Present Value   r = rate of interest   n= no of period

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.