Data from the Statistical Abstract of the United States show that in 1995 there were 56.61 thousand performances in the United States by nonprofit professional theaters. From 1995 through 2007, this number increased on average by about 8% each year. (a) Let P denote the number of performances, in thousands, and let t denote the time in years since 1995. Make an exponential model for P versus t. P(t)= 56.61(1.1)^t (b) How many performances by nonprofit professional theaters does your model give for2003? (Round your answer to three decimal places.) = Blank 2 performances by nonprofit professional theaters. Blank 1 56.61(1.1)^t MUN Blank 2 Add your answer

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Data from the Statistical Abstract of the United States show that in 1995 there were 55.61 thousand performances in the United States. From 1995 through 2007, this number increased on average by 8% each year. 

Let P denote the number of performances in thousands, and leg t denote the times in years since 1995, make an exponential model for P Versus t.

how many performances by nonprofit professorial theaters does your model give for 2003? Round to three decimal places. 

Data from the Statistical Abstract of the United States show that in 1995 there were 56.61 thousand performances in the
by nonprofit professional theaters. From 1995 through 2007, this number increased on average by about 8% each year.
(a) Let P denote the number of performances, in thousands, and let t denote the time in years since 1995. Make an exponential
model for P versus t.
P(t)= 56.61(1.1)^t
(b) How many performances by nonprofit professional theaters does your model give for2003? (Round your answer to three
decimal places.)-
Blank 2 performances by nonprofit professional theaters.
Blank 1 56.61(1.1)^t
ed States
Blank 2
Add your answer
Transcribed Image Text:Data from the Statistical Abstract of the United States show that in 1995 there were 56.61 thousand performances in the by nonprofit professional theaters. From 1995 through 2007, this number increased on average by about 8% each year. (a) Let P denote the number of performances, in thousands, and let t denote the time in years since 1995. Make an exponential model for P versus t. P(t)= 56.61(1.1)^t (b) How many performances by nonprofit professional theaters does your model give for2003? (Round your answer to three decimal places.)- Blank 2 performances by nonprofit professional theaters. Blank 1 56.61(1.1)^t ed States Blank 2 Add your answer
Expert Solution
Step 1

The exponential growth is represented using the equation: f(t)=a1+rt, where a is the initial value, r is the growth rate and t is the time period.

For a function of the form: y=f(t), the dependent variable is and the independent variable is t. The value of is calculated by substituting the value of in f(t).

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