The table below shows the value, V, of an investment (in dollars) after ʼn years. 0 3 12 14 n 19 V(n) 4800 5925.69 12449.83 14098.53 19679.6 Use your calculator to determine the exponential regression equation that models the set of data abo 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): Based on the your regression model, what is the percent increase per year? = 1% 7 8226.36 Find V(15). Round your answer to two decimal places. V(15) = Interpret your answer by completing the following sentence. Be sure to use units in your answer. "The value of the investment after is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The table below shows the value, V, of an investment (in dollars) after n years.
0
3
12
14
4800
V(n)
19
14098.53 19679.6
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.
7
5925.69 8226.36
V(n) =
-
Based on the your regression model, what is the percent increase per year?
196
Find V(15). Round your answer to two decimal places.
V(15) =
12449.83
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In
"The value of the investment after
How long will it take for the value of this investment to reach $10,000? Round your answer to two
decimal places.
V(n) = 10000 when n =
is
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In
the value of the investment will reach
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.
the value of the investment will double.
Transcribed Image Text:The table below shows the value, V, of an investment (in dollars) after n years. 0 3 12 14 4800 V(n) 19 14098.53 19679.6 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. 7 5925.69 8226.36 V(n) = - Based on the your regression model, what is the percent increase per year? 196 Find V(15). Round your answer to two decimal places. V(15) = 12449.83 Interpret your answer by completing the following sentence. Be sure to use units in your answer. In "The value of the investment after How long will it take for the value of this investment to reach $10,000? Round your answer to two decimal places. V(n) = 10000 when n = is Interpret your answer by completing the following sentence. Be sure to use units in your answer. In the value of the investment will reach 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. the value of the investment will double.
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