If the principal P is invented at an interest rate r compounded anually, the amount A after t years is given by formula A=P (1+r)t. If P10000 is invested at 15% interest and yields P20000, how many years was it invested?

Q: Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How…

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Q: w much money does Stewart have to invest at 2.9% interest compounded continuously to have $28,000…

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

A: We know that, final sum A for an invested sum P at rate r for time t, compounded annually is given…

Q: If P dollars are invested at an annual rate r compounded annually, at the end of 2 years it will…

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Q: The amount of money in an account with continuously compounded interest is given by the formula A =…

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Q: How many years will it take for $4000 to grow to $6000 if interest is compounded quarterly at 10%?…

A: A=P1+rnntP is the amount investedA is the amount after t yearsr is the rate of interest

Q: How long does it take for a deposit of $800 to double at 9% compounded continuously? How many years…

A: I am attaching image so that you understand each and every step.

Q: In return for 1000 in 5 years, Mary agrees to pay 200 now, X in 3 years and 1 2X in 10 years. Find X…

A: To calculate x as shown below:

Q: Recall the investment formula: A(t) = P( 1 + r)t , where t is in years. Given an investment (P) of…

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Q: In the given question find the principal P that must be invested at rate r, compounded monthly, so…

A: Future amount obtained when principal amount P is compounded monthly for t years at the rate r is…

Q: How long will it take money to double if it is invested at (A) 13% compounded continuously? (B) 15%…

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Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A: To determine the equation for the nails growth over the month

Q: A principal of 7650 OMR is invested at rate of 3.7% compounded continuously. After. how many years…

A: To find the number of years for the investment on the principal value (P)=7650 OMR to first exceed…

Q: How long, to the nearest tenth of a year, will it take $600 to grow to $2000 at 9% annual interest…

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Q: How many years will it take $2,000 to grow to $3,300 if it is invested at 2.50% compounded​…

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Q: How much time will be needed for $20,000 to grow to $24,635.11 if deposited at 6% compounded…

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Q: It is projected that, t years after the start of the 2020, the population of city will be…

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Q: What will a deposit of $4500 at 10% compounded semiannually be worth if left in the bank for six…

A: The given problem is What will a deposit of $4500 at 10% compounded semiannually be worth if left in…

Q: In the formula A(1) = Pe" for continuously compound inter- est, the letters P, r, and i stand for.…

A: The given formula is At=Pert. Here,  P=Principal r=rate of interest t=time in years. At=Amount after…

Q: how many years will it take for an initial deposit of p dollars to double if interest is compounded…

A: Given,           The initial deposit is p dollars and the rate of interest is 3%.

Q: At what nominal rate compounded continuously must money be invested to triple in 6 ​years?

A: Formula for continuously compounded is given by A=Pert Where A is total amount P is Principal Amount…

Q: How long does it take for a deposit of $1100 to double at 7% compounded continuously? How many years…

A: Given: principal amountP=$1100, rate of interestr=7% compounded continuously and final amountF.A.=2P…

Q: If the population of a certain county was 100,000 in 1998 and 110,339 in 2008 and the formula  y =…

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Q: In the formula A(t)=Pert for continously compound interest , the letters P,r and t stand for…

A: Given: The formula A(t)=Pert.   If $100 is invested at an interest rate of 6% compounded…

Q: A college student has invested $4200 in an account that pays 1.6% interest compounded monthly. Which…

A: ANSWER IS AS BELOW:

Q: John wants to buy a new sports car, and he estimates that he'll need to make a $4,550.00 down…

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Q: suppose you have $10,000 to invest .which of these two rates would yield the larger amlount in 5…

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Q: Use the given formula A = p(1+ r)' $1000 invested for 10 years at 11% compounded annually produces…

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Q: Suppose you have 15,000 to invest. Which of the two rates would yield the larger amount in 2 years:…

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Q: ong will it take my money to quadruple if it is invested at 8.9% c

A: compounded continuously means interest is applied to the principal as well as all interest other…

Q: Find the balance if P50 , 000 is invested at an annual rate of 10% for 5 years compounded…

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Q: 3. A university invests $100,000 into an account that pays a 4.75% annual rate compounded…

A: Given Principal invested = P = $100,000 The annual interest rate = r = 4.75% We have to find the…

Q: If money is invested at 6% compounded semi annually, find the present value of P94 500 due in 3…

A: Given that, A = P94500, t= 3 years, m = 2, r=0.06 The formula for calculating the present value is,

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: Continuous compound interest formula: The amount in an account after t years at r rate is compounded…

Q: When a principal amount, P, is Invested at an annual interest rate, r, and compounded n times per…

A: Given formula A=P1+rnnt Here, P= Principal amount r= rate of interest n= Compounded period t=time

Q: 2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose a deposit of $2,500$2,500 in a savings account that paid an annual interest rate rr…

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Q: If Tabitha has $1000 to invest at 6% per annum compounded semi annually, how long will it be for her…

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Q: Suppose you have $15,000 to invest. Which of the two rates would yield the larger amount in 1 year:…

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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 investment A has continuously compounded interest and an annual return of 2%, and Jane has $100…

A: here interest is compounded continuously so the formula is given by here we have A=100 t=5 years…

Q: Suppose you have $13,000 to invest. Which of the two rates would yield the larger amount in 2 years:…

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Q: Suppose you have $14,000 to invest. Which of the two rates would yield the larger amount in 3 years:…

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Q: If $2000 is invested at 4% interest compounded monthly, the value of the investment after t 12.04…

A: Everything is given for t years , to get invested value after 3.5 years , just substitute, t=3.5 and…

Q: A loan of R20 000 is to be amortised by means of five regular equal monthly payments of R5000…

A: Given: P=20000, I=5000, t= 612 We have I=Prt1005000=20000× 612×r100100r-5000=0 Consider the…

Q: An investment of $9000 grows to $10,296.59 in 4 years. Find the annual rate of return for annual…

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Q: Suppose you have $13,000 to invest. Which of the two rates would yield the larger amount in 4 years:…

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Q: if $2000 is invested at 5%, compounded continuosly for t years, the value, A of the investment is…

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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.