Apopulation of 430 animals decreases at an annual rate of 21% find the multiplier for the rate of exponential decay

0.79

Step-by-step explanation:

We have been given that a population of 430 animals decreases at an annual rate of 21%. We are asked to find the multiplier for the rate of exponential decay.

We know that an exponential decay function is in form , where,

a = Initial value,

r = Decay rate in decimal form.

Let us convert 21% in decimal form as:

Upon substituting our given values, we will get:

Therefore, the multiplier for the rate of exponential decay is 0.79.

b. x + 1

step-by-step explanation:

i'am smart

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: