College Algebra, Books a la Carte Edition, plus NEW MyLab Math- Access Card Package (6th Edition)
College Algebra, Books a la Carte Edition, plus NEW MyLab Math- Access Card Package (6th Edition)
6th Edition
ISBN: 9780321999566
Author: Mark Dugopolski
Publisher: PEARSON
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Chapter A, Problem 27E

Number of Farms The accompanying table gives the number of farms in the United States for the years 1990 through 2010. (U.S. Department of Agriculture, www.usda.gov).

Table for Exercise 27

Year

Farms (in thousands)

1990

2146

1995

2196

2000

2172

2005

2101

2010

2064

Chapter A, Problem 27E, Number of Farms The accompanying table gives the number of farms in the United States for the years

a.Find the equations that express the number of farms as a function of the year by using linear regression and quadratic regression. Let x = 0 correspond to 1990.

b.Predict the number of farms in the United States in 2015 using linear regression and quadratic regression.

Solve each problem.

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MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…
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