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

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

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A nkcschools.instructure.com Next week's value of a certain quantity can be found by multiplying this week's value by 1.57. Which of the following can you conclude? O The quantity grows exponentially. O The quantity decays linearly. O The quantity grows linearly. O The quantity decays exponentially.
A popular social media platform has begun offering stock shares to the public. In the past 2 years, the price of the stock has generally increased. An investment specialist gathers data on the stock price during the past 2 years and creates an exponential model for estimating the stock price based on the number of weeks after the first public offering. Based on the scatterplot and computer output, a reasonable estimate for the stock price for week 95 is: O $2.27 because y 0.0022(95) + 2.0583 = 2.2673. O $9.65 because log y =0.0022(95) +2.0583 2.2673 and e2.2673 = 9.6533. log(Stock Price) vs. Weeks O $185.05 because kg y =0.0022(95)+2.0583=2.2673 and 102 2673 = 185.05. 2.28 2.26 224 O $220.44 because log y 0.0030(95)+2.0583 2.3433 and 2.22 22 2 12 2 16 102.3433 = 220.44 ock Price)
The common ratio for the home prices in an Austin neighborhood is 1.08 every year for the past five years. Describe the pattern. Choose all that apply. Increasing Decreasing Linear Exponential
Plot the following sets of data and write the best fit exponential function using a graphing calculator. I CHECK ANSWER 0 1 2 دن 4 5 hp y -2.6 -3.61 -5.02 -6.98 -9.71 Write the best fit exponential function in the form y = ab. Round to 2 decimal places. -13.49 59 TO 0 60 124 O ↑ 92.0 Mon Feb
Population of Texas Texas was the third fastest growing state in the United States in 2016. Texas grew from 25.1 million in 2010 to 26.47 million in 2016. Use an exponential growth model to predict the population of Texas in 2025.
Define the three logarithmic regression models? Explain how Logarithms and percentages are inter linked?
Suppose the population was 500 on January 1, 2000 and it was 800 on January 1, 2006. Assuming the population grows exponentially, find the growth rate. Write your answer in percentage rounded to the nearest hundredth. Enter number only, i.e., if your answer is 3.45%, enter 3.45.
China had a population in 2008 of about 1.14 billion people. The populaton is growing by about 1.34% each year. If this trend continues, when will China's population reach 1.2 billion.
18q5Woh4mQxT_QQVL1RKDY"%5.. O A Johnstone, J Bushra Almjareesh - Version A Pre-Calc Module 14 Quiz Google.pdf + 352% nswer Write an equation for the function and label as exponential growth or exponential decay. I (1, 10) (0, 5) 2. If the data below are from an exponential function, what is the value of a? OD e 30 SAMSUNG