Answer: $5100
Step-by-step explanation:
Given, The prize money starts at $20 for the first question.
Let a= 20,
Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.
i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....
That is its is an geometric progression with the common ratio r= 2,
Since the sum of n terms in GP is given by :-
So the total money will it hand out in prizes after 8 questions would be :
Hence, the total money it will hand out in prizes = $5100
Answer:
ajajajajaja
Step-by-step explanation:ahahaha
Answer:
19/37
Step-by-step explanation:
The mathematics faculty at a college consists of 9 professors, 8 associate professors, 10 assistant professors, and 10 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor
Total number of people in the faculty =
9 professors + 8 associate professors+ 10 assistant professors+ 10 instructors
= 37 people
Hence,
The probability of choosing a professor or an instructor
= P( Professor) + P( Instructor)
= 9/37 + 10/37
= 19/37
Just multiply the 12 miles by two and the gallon by 2 to get an equivalent unit rate
24 miles per 2 gallons
4(2 + 3) - [7 - [4 - (8 + 5)]]
First, do the parentheses:
4(5) - [7 - [4 - 12]]
Then complete the rest from the inside out:
20 - [7 - (-8)]
20 - 15 = 5
