A 61-year-old couple is considering opening a business of their own. They will either purchase an established Gift and Card Shoppe or open a new Wine Boutique. The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given by G(t)-33,600 (dollars per year). The Wine Boutique has a continuous income stream with a projected annual rate of flow at time t given by w(t)-20,800e0.0 (dollars per year). The initial investment is the same for both businesses, and money is worth 10% compounded continuously. Find the present value of each business over the next 4 years (until the couple reaches age 65) to see which is the better buy. (Round your answers to the nearest dollar) Gift Shoppe Wine Boutique S

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A 61-year-old couple is considering opening a business of their own. They will either purchase an established Gift and Card Shoppe or open a new Wine Boutique.
The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given by
G(t)= 33,600 (dollars per year).
The Wine Boutique has a continuous income stream with a projected annual rate of flow at time t given by
w(t)=20,800e0.0 (dollars per year).
The initial investment is the same for both businesses, and money is worth 10% compounded continuously. Find the present value of each business over the next
4 years (until the couple reaches age 65) to see which is the better buy. (Round your answers to the nearest dollar)
Gift Shoppe
$
Wine Boutique
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Transcribed Image Text:A 61-year-old couple is considering opening a business of their own. They will either purchase an established Gift and Card Shoppe or open a new Wine Boutique. The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given by G(t)= 33,600 (dollars per year). The Wine Boutique has a continuous income stream with a projected annual rate of flow at time t given by w(t)=20,800e0.0 (dollars per year). The initial investment is the same for both businesses, and money is worth 10% compounded continuously. Find the present value of each business over the next 4 years (until the couple reaches age 65) to see which is the better buy. (Round your answers to the nearest dollar) Gift Shoppe $ Wine Boutique Need Help? Read it Watch
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