Given an exponential function for compounding interest, a(x) = p(.91)^x, what is the rate of change? a. −0.09% b. −9% c. 0.91% d. 91%

The confirmed correct answer is -9%. Trust me.

Option B = -9%

Step-by-step explanation:

Given : Given an exponential function for compounding interest,

To find : What is the rate of change?  

Solution :

The general form of the exponential function is

Where,

r is the rate of change

if r> 1 then it is growth rate    

if r< 1 then it is decay rate.

Comparing given function with exponential function,

It is a decay rate.

Convert into percentage, multiply with 100

Therefore, Option B is correct.

The rate of change is -9%.      

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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