How long, to the nearest year, will It take an Investment to double if it is continuously compounded at 9% per year?

Q: How long, to the nearest year, will it take me to become a millionaire if I invest $3000 at 9%…

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Q: Camila invested $9,100 in an account paying an interest rate of 4.6% compounded continuously.…

A: Given problem:- Camila invested $9,100 in an account paying an interest rate of 4.6% compounded…

Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: how long (in years) would $700 have to be invested at 11.6%, compounded continuously to earn $400…

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Q: How long (in years) would $500 have to be invested at 8%, compounded continuously, to amount to…

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Q: how long will it take an investment of $300 to triple, if the interest rate is 9.5% per year…

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Q: Find the time it takes for $6,400 to double when invested at an annual interest rate of 4%,…

A: Given: sum, P=$6,400 r=4%=4100=0.04 We have to find time in which given sum becomes double. So,…

Q: How long (in years) would $9,000 have to be invested at 8% compounded continuously to earn $1,561.60…

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Q: 5b. How long, to the nearest tenth of a year, will it take $8000 to grow to $16,000 at 8% annual…

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Q: If $7000 is invested at 7% compounded continuously, what is the amount after 7 years? The amount…

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Q: Taylor invested $11,000 in an account paying an interest rate of 3.5% compounded continuously.…

A: We will find out the required value.

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

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Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A: Let the initial amount be P Final amount is 2P rate of interest, r =7%

Q: If 7000 dollars is invested in a bank account at an interest rate of 5 per cent per year, compounded…

A: Given that, the initial amount is P=7000 interest rate is r=5%, compounding period is p=1 and final…

Q: How many years will it take for an initial investment of $25,000 to grow to $80,000? Assume a rate…

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Q: See photo attached, thank you.

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Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A: According to the question, we have to find the total amount after 3 years , If $20,000 is invested…

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

A: Formula to calculate continuously compounded interest: A = Pert where, A is Amount at time t,P =…

Q: A person wants to have $30,000 in an investment account to buy a new car in 4 years. How much should…

A: Topic - compound Interest

Q: How long will it take for $1,000 to be worth $2,500 at 5% interest, if compounded continuously?…

A: Given:  P=$1000A=$2500r=5%=0.05

Q: How long (in years) will it take a $300 investment to be worth $400 if it is continuously compounded…

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Q: Kayden is going to invest in an account paying an interest rate of 4.2% compounded continuously. How…

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Q: How many years will ittake for an initial investment of $10,000 to grow to $25,000?Assume a rate of…

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Q: Suppose you invest $1600 at an annual interest rate of 4.6 % compounded continuously . How much will…

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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 $500 is deposited in an account paying 8.3% annual interest, compounded continuously, how long…

A: We know that, the formula for continuous compounding is given by A=Pert            ⋯⋯1 Where, P =…

Q: If $4000 is deposited in a savings account that earns interest at an annual rate of 7.5% interest…

A: NOTE: Refresh your page if you can't see any equations. . here we have,  P=4000 r=7.5%=0.075 t=4…

Q: How long, to the nearest hundredth of a year, would it take an initial principal P to triple if it…

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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: Find the time it takes for $5,300 to double when invested at an annual interest rate of 9%,…

A: Solution:

Q: Carson invested $2,700 in an account paying an interest rate of 1.6% compounded continuously.…

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Q: If 3000 dollars is invested in a bank account at an interest rate of 4 per cent per year, compounded…

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Q: Find the time it takes for $790,000 to double when invested at an annual interest rate of 19%,…

A: Solution-

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

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

A: We can find the required year in the following steps.

Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A: formula for continuous compound interest  A = P e r t  t = number of years  r = interest rate  P =…

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

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Q: How long will it take a $600 investment to be worth $700 if it is continuously compounded at 11% per…

A: Write the continuous compound interest formula,

Q: If 2000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

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Q: . How long, to the nearest year, will it take me to become a millionaire if I invest $1,000 at 10%…

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Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A: We have to find how fast balance will grow per year after 4 year

Q: Kinsey has invested $28,000 into an account that pays 9% compounded continuously. How long will it…

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Q: Lucy invested $30,000 in an account paying an interest rate of 6.6% compounded continuously.…

A: given that principle amount invested is p=$30000rule of interest, r=6.6%=0.066time period, t=9 years

Q: Suppose that you invest $8,000 at 8% interest compounded continuously. How much money will be in…

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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: Samuel is going to invest in an account paying an interest rate of 5% compounded continuously. How…

A: GIVEN: Rate = 5 Time = 9 years

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.