The table shows the value of an investment overseveral years. Which function best models theinterest earned on the investment?Year Value (S)18216.008437.8338665.6548899.629139.919386.6979640.1389900.4110167.431010441.95a) linear functionb) quadratic functionC) exponential functionc)d)none of the above

This is a problem of the least square regression curve plotting. We will plot the given data in…

Answered: The table shows the value of an…

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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prated Mathamatics CSA4A Exponential Functions 10. Which table of values represents an exponential function? a. 2. 4 1. 4 100 90 80 y 4 8. d. C. 2. 4 2. 3. 80 20 10 y 12 18 24 30 lluminate EducationTM, Inc, 3. 3. 40 2. 2. b. 70 3.
PO In 2010 an item cost $9.00. The price increase by 1.5% each year. a.) Write an exponential growth function to represent this situation. b.) How much will it cost in 2030? Round your answer to the nearest cent. 2 3 4 6 7 8 common-assessment-delivery/start/5481 550868?action=on resume&submission ld =705557436# Cchaolo Dlnn Cunnart DDNIACY DO
An economist tracks the price of a certain item at the beginning of several years and compiles the following table. 2014 2015 273.47 281.67 2016 290.12 2013 Year Price in dollars 265.50 (a) Show that the price is growing as an exponential function. (Let P be the price in dollars and t the time in years since 2013.) Calculate the ratios of new price/old price. (Round your answers to two decimal places.) P₁. Po P2, P1 P2 Does the table show exponential data? Yes No (b) Find an exponential model for the data. (Round the values to two decimal places. Let t be the time in years since 2013.) CP= 304.21 x 0.83t P = 290.12 x 0.97t CP= 260.00 x 1.12t P = 93.12 x 1.35* P = 265.50 x 1.03t (c) At the beginning of some year, the price will surpass $344. Use the model found in part (b) to determine which year.
The following table shows the income, measured in thousands of dollars, from sales of a certain magazine at the start of the given year. Find an exponential model for the income where I is the income, measured in thousands of dollars, and t is the number of years since 2000. Round the parameters to the nearest hundredth. Year 2000 2001 2002 2003 2004 Income 7.54 8.02 8.52 9.05 9.62 a) I = 7.54 x 1.06^tb) I = 7.51 x 0.52^tc) I = 1.06 x 7.51^td) I = 7.54 x 0.52^t
A police station had to deploy a police officer for an emergency multiple times in the last four evenings. The table below shows the number of emergencies each evening. (Round your answers to 3 decimal places.) Forecast for tomorrow Weekday Number of calls each day (calls) 8. Monday Tuesday Wednesday 8. 3 7 Thursday 10 Complete the "Forecast for tomorrow" column in the table above. Use an exponential smoothing a. forecasting approach, with a=0.4 and a forecast for Monday of 8. (Round your answer to 3 decimal places.) What would be their forecast for Friday using the same exponential smoothing forecasting approach? b. 2 of 5 Next >
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Year Population (millions) 1960 12.1 1970 13.2 1980 14.3 1990 15.8 2000 17.0 1. Sketch the data and the curve of the best fit on the same graph. You need to adjust time (start counting time from 1960). 2. Find the equation of the best exponential fit relating P (country’s population in millions of people) with time t (years after 1960). 3. What is the population’s annual percentage growth rate?
Work Hours The average weekly hours worked byemployees at PriceLo Company are given by the datain the table below a. Write the equation of a function that describes theaverage weekly hours using an input x equal to thenumber of months past May 2016.b. What type of function is this?
b. The table below shows some input-output pairs for an exponential function g. i. Determine the 1-unit growth factor for g. * Preview ii. Determine the 1-unit percent change for g. = = g(0) iv. Write a function formula for g. g(x) X g(x) * Preview % iii. Determine the initial value for g (the output value when the input is 0.) * 篇 Preview 3 1 2 172.2 241.08 337.512 Preview Preview 5 661.52352
The table shows the amount of money, A(t), in dollars, in a savings account after t years. Number of Years Amount (in dollars) 750.00 1 765.00 780.30 3 795.91 4 811.82 Which function best approximates the amount of money in the account? O A(t) = 1.02(750) O A(t) = 750 – 1.02t O A(t) = 750 + 1.02t O A(t) = 750(1.02)* A Calculator esc 3 &
a. Consider the exponential function ƒ(x) = 54(0.38)ª. i. What is the initial value of f? f(0) = 54 ii. What is the 1-unit growth factor for f? 0.38 Preview % Preview iii. What is the 1-unit percent change for f? Preview

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