Suppose you invest $46,000.00, and it earns 12% annual interest, compounded 12 times per year, what will be in the account after 11 years? Round your answer to the nearest penny. Recall: F=P(1+i) to the nth power , where i is the interest rate per period (month), and n is the total number of periods (months). The annual rate is not i, it is12(i). Future Value = $

Q: The future value that accrues when $900 is invested at 9%, compounded continuously, is S(t) =…

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Q: The future value that accrues when $900 is invested at 7%, compounded continuously, S(t) = 900e0.07t…

A: Given:- The future value that accrues when $900 is invested at 7%, compounded continuously, is S(t)…

Q: long would it take R20 000 invested today at a nominal annual continuously compounding (NACC)…

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Q: Justin wants to buy a bond that will mature to $6000 in eight years. How much should he pay for the…

A: topic - exponential function

Q: If you need $40,000 in your bank account in 8 years, how much must be deposited now? The interest…

A: For compounded continuously P=P0ert where, P0= initial depositr=interest rate=12%=0.12t=time…

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

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Q: The future value that accrues when $700 is invested at 9%, compounded continuously, is S(t) =…

A: Amount invested=$700   interest =9%   future value=700 e0.09t=St   Now   rate of growth of money…

Q: Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously.…

A: GIVEN Principal , P = $21000\ Amount , A = 29200 Rate , r = 3.3% = 0.033 For continuously…

Q: The future value that accrues when $700 is invested at 5%, compounded continuously, is S(t) =…

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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: O is invested at an interest rate of 3.5% per year, find the amount of the investment at the end of…

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Q: If $400 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

A: To calculate the value of the investment for a) , b)  and c). (As per norms , the first three…

Q: if the principal p is invested at an interest rate r compounded annually, the amount after t years…

A: Here, A=20,000P=10,000r=15%=0.15

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: Suppose that P dollars in principal is invested for t years at the given interest rates with…

A: The principal amount, P = $18,000 Time, t = 11  yr To evaluate : The future amount with continuous…

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 (in years) would $600 have to be invested at 11.9%, compounded continuously, to earn $400…

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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: Jerome will be buying a used car for $6,000 in 2 years. How much money should he ask his parents for…

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Q: Amy wants to buy a bond that will mature to $5500 in eight years. How much should she pay for the…

A: Consider the following formula of compound interest compounded continuously: Pt=P0ert…

Q: If 19,000 is invested at a rate of 6.5% per year for 36 years, for the value of the investment to…

A: Use formula to calculate

Q: 2.) Ted wants to triple his money. It is in an account that pays 5% interest compounded…

A: the exponential growth model  is                       y= Pert   where  y = total amount after…

Q: If the principal P is invented at an interest rate r compounded anually, the amount A after t years…

A: Given P = 10000A = 20000r = 15%

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: 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: This exercise is based on the following table, which lists interest rates on long-term investments…

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Q: Jerome will be buying a used car for ​$9,000 in 3 years. How much money should he ask his parents…

A: Use compound interest formula.

Q: At the end of 8 years, Alex would have $7,340.73 in his savings account if he invested his money at…

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Q: If $400 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

A: Solution-

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: Charlie wants to buy a bond that will mature to $5000 in seven years. How much should he pay for the…

A: The maturity amount, A = $5000 The rate of interest, r = 2% = 0.02 Time, t = 7 years To evaluate:…

Q: Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How…

A: Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How…

Q: How long does it take for an investment to quadruple (grow by 4x) at an annual interest rate of 6.7%…

A: Given that: Rate of interest, r=6.7%& A=Pert

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 would it take an investment to double under each of the following conditions? (a) Interest…

A: In this question we have to find time in which our investment ti be double.

Q: The future value that accrues when $900 is invested at 9%, compounded continuously, is S(t) =…

A:

Q: Kevin wants to buy a bond that will mature to $4500 in nine years. How much should he pay for the…

A:

Q: Use the compound interest formulas A = P(1 + r/n)nt and A = Pert to solve (Round answers to the…

A: An investment of $12,000  for 3 years at the rate of 7% compounded monthly or 6.85% compounded…

Q: For 17-20. Mary-Jo Ellen puts $4,100.00 into an account that has an annual growth rate of 4.5%…

A: Compound interest

Q: How long (in years) would $700 have to be invested at 11.3%, compounded continuously, to earn $300…

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Q: Find the principal invested (P) of amount (A )invested at rate (r )for (t) years, compounded (n)…

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Q: If $300 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

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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: 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: Suppose that a company needs new equipment, and that the machinery in question costs $130000 and…

A: The formula for the compounded continuously is given by, P=P0ert

Q: Suppose that a company needs new equipment, and that the machinery in question costs $100000 and…

A: Given data: The given value of the machinery is M=$100000. The given profit per year is A=$60000.…

Q: If $400 is invested at an interest rate of 5.5% per year, find the amount of the investment at the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Suppose you invest $1 in an account that is compounded continuously and you wish to double your…

A: Given that Principal value(P) = $⊥ Principal value (P), Rate (r) and time (t) is given by A= p ert…

Q: Jerome will be buying a used car for $11,000 in 2 years. How much money should he ask his parents…

A: Explained below

Q: How long will it take an investment of $3,400 at an interest rate of 4% per year compounded…

A: Given,       P = $3400  ( initial investment/ principal)       I = 4% = 0.04 ( interest rate)      A…

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.