In 1950, the use of coal in the us was 114.6 million tons. the use of coal has decreased by 6.6% per year since then. estimate the amount of coal used in the us in 2010. round to the nearest tenth of a million tons

Step-by-step explanation:

Given: In 1950, the use of coal in the us was 114.6 million tons.

The use of coal has decreased by 6.6% per year since then.

The use decreased in x years is given by the formula:-

,

Where A is the initial amount = 14.6 million tons.

r is the rate of decrease in decimal= 0.066

Then, the use of coal in 2010 (after 60 years)=

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

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