Chapter 4.6, Problem 53E

(a)

To determine

To find: The values to complete the table.

Explanation of Solution

Given equation:

The given table is:

  

Consider the growth factor to increase each year complete the table:

  

(b)

To determine

To find: The equation representing the rate after four years.

Answer to Problem 53E

The required equation is $x=\frac{1}{4}{\left(y+1\right)}^2+1$ .

Explanation of Solution

Consider the table of values:

  

Write the equation considering the fourth year:

  $v=1000{\left(1+r\right)}^3+2000{\left(1+r\right)}^2+3000\left(1+r\right)+4000$

Hence, the required equation is $v=1000{\left(1+r\right)}^3+2000{\left(1+r\right)}^2+3000\left(1+r\right)+4000$ .