The probability of getting heads on a single coin flip is 1/2. The probability of getting nothing but heads on a series of coin flips decreases by 1/2 for each additional coin flip. Enter an exponential function for the probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a(b)n. In the event that a = 1, give your answer in the form (b)n. What is the equation of p(n)

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:

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.