Abby owns a comic book that originally sold for 12¢ in 1969. in 2014, the comic book had an appraised valued of $3,700. given that the annual percentage rate has been constant, what is the annual percentage rate of growth? a) 23.28% b) 25.82% c) 26.33% d) 28.94%

B)  25.82%

Explanation:

This equation will be in the form

,

where a is the initial value, x is the number of time periods and r is the annual rate of growth.

We know the initial value, a, is 0.12.

We know that x, the amount of time, is 2014-1969 = 45.

We know that y, the total value, is 3700.  

This gives us the equation

Divide both sides by 0.12:

To find this, we must next take the 45th root.  This is the same as raising to the power of 1/45:

Subtract 1 from each side:

1.2582-1 = 1+r-1

0.2582 = r

To convert this to a percent, multiply by 100:

0.2582(100) = 25.82%

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.