If money is invested at 10% interest, compounded quarterly, the future value of the investment doubles approximately every 7 years. a. Use this information to complete the table below for an investment of $600 at 10% interest, compounded quarterly. Years 0 7 14 21 28 Future Value ($) 600 ? ? ? ? Complete the following table. Years 0 7 Future Value ($) 600 1200 14 2400 21 4800 28 9600 b. Create an exponential function, rounded to three decimal places, that models the discrete function defined by the table. Choose the correct exponential function, rounded to three decimal places, that models the discrete function defined by the table. A. y=600(1.104)* OB. y=600(1.511)* OC. y=600(1.214)* OD. y=600(0.208)* c. Because the interest is compounded quarterly, this model must be interpreted discretely. Use the rounded function to find the value of the investment in 6 years and in 14 14 years. 1 The value of the investment in 6 years is $ (Round to the nearest cent as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If money is invested at 10% interest, compounded quarterly, the future value of the investment doubles approximately every 7 years.
a. Use this information to complete the table below for an investment of $600 at 10% interest, compounded quarterly.
Years
0
7
14
21
28
Future Value ($)
600
?
?
?
?
Complete the following table.
Years
0
7
Future Value ($) 600
1200
14
2400
21
4800
28
9600
b. Create an exponential function, rounded to three decimal places, that models the discrete function defined by the table.
Choose the correct exponential function, rounded to three decimal places, that models the discrete function defined by the table.
A. y=600(1.104)*
OB. y=600(1.511)*
OC. y=600(1.214)*
OD. y=600(0.208)*
c. Because the interest is compounded quarterly, this model must be interpreted discretely. Use the rounded function to find the value of the investment in 6 years and in 14
14 years.
1
The value of the investment in 6 years is $
(Round to the nearest cent as needed.)
Transcribed Image Text:If money is invested at 10% interest, compounded quarterly, the future value of the investment doubles approximately every 7 years. a. Use this information to complete the table below for an investment of $600 at 10% interest, compounded quarterly. Years 0 7 14 21 28 Future Value ($) 600 ? ? ? ? Complete the following table. Years 0 7 Future Value ($) 600 1200 14 2400 21 4800 28 9600 b. Create an exponential function, rounded to three decimal places, that models the discrete function defined by the table. Choose the correct exponential function, rounded to three decimal places, that models the discrete function defined by the table. A. y=600(1.104)* OB. y=600(1.511)* OC. y=600(1.214)* OD. y=600(0.208)* c. Because the interest is compounded quarterly, this model must be interpreted discretely. Use the rounded function to find the value of the investment in 6 years and in 14 14 years. 1 The value of the investment in 6 years is $ (Round to the nearest cent as needed.)
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