Find the present value of a continuous income stream of ​$18​,000 per year for 20 years at 2.8​% continuous interest.

Q: Find the principal P that must be invested at rate r =9%, compounded monthly, so that $1,000,000…

A: Initial amount = P  Interest rate = r=9%=0.09 n= number of times compounded in a year= 12 Final…

Q: Find the principal P that must be invested at rate r= 7(1/2)%, compounded monthly, so that…

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Q: A math tee shirt business is expected to generate $41,000 in revenue per year for the next 20 years.…

A: The options for expression are not given here. Given : There is a continuous stream of a payment…

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: Over an 8 year period, Mark's investment rose from $12,000 to $27,500. Assuming continuous…

A:

Q: Assume that an investment is made at 7.1% per year, compounded continuously. What is the tripling…

A: The compound interest formula is defined as, A=P1+rnnt where: A: is final amountP: is principal…

Q: Find the effective yield of an investment that earns 5% compounded weekly. % round to the nearest…

A: Given ,  rate of interest = 5% weekly

Q: Find the effective yield of an investment that earns 3.8% compounded quarterly

A: The effective yield is calculated as follows:

Q: What interest rate, to the nearest percent, is required for an investment subject to continuous…

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Q: Find the present value of a $50, 000 annual income stream if it is invested immediately as it is…

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Q: An investment pays a dividend of $250/year continuously forever. If the interest rate is 7%, what is…

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Q: Calculate the present value PV of an investment that will be worth 1,000 at the stated interest rate…

A: It is known that, formula for compound interest is given by:

Q: A small company is trying to decide whether or not to upgrade its website. The upgrade costs 5,000,…

A: Given:-               A small company is trying to decide whether or not to upgrade its website.…

Q: Find the accumulated present value of a 11-year $70,000 continuous income stream that has been…

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Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

A: SOLUTION-

Q: A car washing machine is expected to generate $40,000 in revenue per year, for the next 5 years. If…

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Q: Find the capital value of an asset that generates income at the rate of $5000 per year, assuming an…

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Q: Assume that a bond pays 114+ 8t, in year t from the present, for 10 years, and that its interest…

A: Here , we can find what is the total amount after 10 years by the eq. 114+8t. By putting t=1and then…

Q: Determine the effective annual yield for​ $1 invested for 1 year at 6.7​% compounded quarterly.

A: We have to determine effective annual

Q: Suppose income from an endowment is generated at the annual rate of $42,000 per year. Find the…

A: Given: The annual rate of $42,000 per year, an interest rate of 7.5% compounded continuously. Find:…

Q: The proceeds from the sale of a building will yield a uniform continuous flow of $10,000 a year for…

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Q: Find the principal P that must be invested at rate r =6%, compounded monthly, so that $1,000,000…

A: Given information, Amount A=$1000000 interest rate r=6%=0.06 Time t=40 years number of times…

Q: A car washing machine is expected to generate $40,000 in revenue per year, for the next 5 years. If…

A:

Q: Find the accumulated present value of an investment over a 8 year period if there is a continuous…

A: We have to find the accumulated present value of an investment.

Q: Find the accumulated present value of an investment over a 8 year period if there is a continuous…

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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Q: Write the equation for determining the effective interest of continuous compounding?

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Q: A sum of $10,000 is invested at an annual rate of 8%. Find the balance in the account after 5 years…

A: Given: P=10,000 and r=8%=0.08, t=5 years, n=4

Q: Determine the interest rate required for an investment of $1500 to be worth $1800 after 3 years if…

A: The formula for the amount when the interest is compounded quarterly is A=P1+r41004t.

Q: Find the principal P that must be invested at rate r =8%, compounded monthly, so that $1,000,000…

A: Given- Total amount (A)= $1,000,000, rate =8% and time =35 years. To find- The principal amount.…

Q: Find the effective yield of an investment that earns 4.1% compounded quarterly.

A:

Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

A: Given, R(t) = 5000 T    = 10 years K    = 2%

Q: What interest rate, to the nearest tenth of a percent, is required for an investment subject to…

A: Let P be the principal amount.

Q: You are offered and investment opportunity that will produce continuous income at a constant rate of…

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Q: Find the interest earned on $10,000 invested for 5 years at 4% interest compounded as follows.(a)…

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Q: Find the amount of money that accumulates when a one-time lump-sum investment of P = $50, 000 is…

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Q: Find the accumlated value of an investment of 14,000 at 5% compounded annualy for 20 years?

A: Given amount, time and rate

Q: Ipek places a continuous stream of $1, 000 per year into a savings account which has a continuously…

A: Amount invested $1000 interest rate 1.2% time is 30 years

Q: Determine the effective annual yield for$1 invested for 1 year at 7.6% compounded quarterly The…

A: To compute the effective yield per dollar invested under the given compound interest problem

Q: Find the effective yield of an investment that earns 2.35% compounded weekly.

A: Effective yield=1+rnn-1 For compounded weekly, n=52

Q: A new restaurant is expected to produce a continuous income stream at the rate of R(t) = 100,000…

A: Here the present income R(t)=100000 Interest rate (r)=4% Time(t)=5 year The income stream is…

Q: Compute the present rate of an investment that generates income at a rate of 3500te^0.01t per year…

A: Introduction: It is given that there will be an income of 3,500te0.01t per year, for a certain…

Q: An initial investment of $5000 doubles in value in 6.3 years. Assuming continuous compounding, what…

A: Given Data, P = $5000 t = 6.3 years r = ?

Q: Find the accumulated value of an investment of $25,000 for 4 years at an interest rate of 6% if the…

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

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Q: If $2000 is invested for 3 years at 8% compounded quarterly how much intrest in dollars will be…

A: Given that, P = $2000, n = 4, R = 8% and t = 3. Calculate the value of A. A=P(1+rn)nt…

Q: The future value at 7​% ​interest compounded continuously for 5 ​years, of the continuous income…

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Q: 1. Find the annual percentage yield for an investment that earns interest at a rate of 6% per year,…

A: Given query is to find annual percentage rate.

Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

A:

Q: Find the time required for an investment of $4000 to grow to $9000 at an interest rate of 6% per…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.