The value of an autographed baseball from 2017 is $300. the value of the baseball exponentially increases by 5% each year after 2017. write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650.

For this case we have a function of the form:

Where,

A: initial value of an autographed baseball

b: growth rate

x: number of years

Substituting values we have:

For the moment when the value is at least 650 $ we have the following inequality:

a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650 is:

For this case we have a function of the form:

Where,

A: initial value of an autographed baseball

b: growth rate

x: number of years

Substituting values we have:

For the moment when the value is at least 650 $ we have the following inequality:

a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650 is:

0.0052

Step-by-step explanation:

Total number of times experiment was performed (n)= 12

Probability of the event (that one key out of a total of 12 opens the door) = 1/12 = 0.083

Hence, p = 0.83

q = 1 - p = 11/12 = 0.917

x = 3

Since the experiment was performed n number of times, a binomial probability distribution can defined the experiment.

P(x=r) = nCr ×p^r × q^n-r

P(x=3) = 12C3 × (0.083)⁴ × (0.917)^8

P(x=3) = 220 × (0.083)⁴ × (0.917)^8

P(x=3) = 0.0052