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
The number is 5 and the factor is 1
the answer is gonna be a. 5m+40
Step-by-step explanation:
4^2+9^2=97
Magnitude=sqrt(97)
Ok so we are gonna find the area or the rectangles on the object
Area of rectangle 1 = length x width
= 6 x 20
= 120 m square
Multiply the area of rectangle 1 by 2 because there are two same shaped rectangle.
120 x 2
=240 m square
Area of rectangle 2 = 30 x 6
= 180 m square
Multiply the area of rectangle 2 by 2 because there are two same shaped rectangle.
180 x 2
=360 m square
Area of rectangle 3 = 30 x 20
= 600 m square
Multiply the area of rectangle 3 by 2 because there are two same shaped rectangle.
600 x 2
=1200 m square
Then add all the area of the rectangles.
240 + 360 + 1200
= 1800 m square
Therefore the surface area is 1800 m square