Exponential Regression The table below shows the value, V, of an investment (in dollars) after n years. 3 7 12 14 19 V(n) 4700 4887.92 5398.82 6139.56 6201.55 6504.66 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. V(n) = 4717.23(1.019)" Based on the your regression model, what is the percent increase per year? 1.8 Find V(13). Round your answer to two decimal places. V(13) = 463.46 Interpret your answer by completing the following sentence. Be sure to use units in your answer. "The value of the investment after | years X is 463.45 How long will it take for the value of this investment to reach $11,500? Round your answer to two decimal places. V(n) 11500 when n = 47 Interpret your answer by completing the following sentence. Be sure to use units in your answer. In 47 years X, the value of the investment will reach 11500 How long will it take for the value of the investment to double? Round your answer to two decimal places. V (n) has doubled when n = Interpret your answer by completing the following sentence. Be sure to use units in your answer. In the value of the investment will double.
Exponential Regression The table below shows the value, V, of an investment (in dollars) after n years. 3 7 12 14 19 V(n) 4700 4887.92 5398.82 6139.56 6201.55 6504.66 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. V(n) = 4717.23(1.019)" Based on the your regression model, what is the percent increase per year? 1.8 Find V(13). Round your answer to two decimal places. V(13) = 463.46 Interpret your answer by completing the following sentence. Be sure to use units in your answer. "The value of the investment after | years X is 463.45 How long will it take for the value of this investment to reach $11,500? Round your answer to two decimal places. V(n) 11500 when n = 47 Interpret your answer by completing the following sentence. Be sure to use units in your answer. In 47 years X, the value of the investment will reach 11500 How long will it take for the value of the investment to double? Round your answer to two decimal places. V (n) has doubled when n = Interpret your answer by completing the following sentence. Be sure to use units in your answer. In the value of the investment will double.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Transcribed Image Text:Exponential Regression
The table below shows the value, V, of an investment (in dollars) after n years.
3
7
12
14
19
V(n)
4700
4887.92
5398.82
6139.56
6201.55
6504.66
Use your calculator to determine the exponential regression equation that models the set of data
above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the
indicated variables and proper function notation.
V(n) =
4717.23(1.019)"
Based on the your regression model, what is the percent increase per year?
1.8
Find V(13). Round your answer to two decimal places.
V(13) =
463.46
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
"The value of the investment after years
X is 463.45
How long will it take for the value of this investment to reach $11,500? Round your answer to two
decimal places.
V(n)
11500 when n =
47
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In 47 years
X, the value of the investment will reach 11500
How long will it take for the value of the investment to double? Round your answer to two
decimal places.
V (n) has doubled when n =
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In
the value of the investment will double.
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