Hello!
We want isolate the n. This is
6,2 n - 3,7 n = 85 + 45
2,5 n = 130 . ( 10 )
25 n = 1300
n = 1300 / 25
n = 52
Hope this helps, good studies.
For this case we have the following polynomial:
Applying the formula of the resolvent we have:

Substituting values we have:

Rewriting we have:



Therefore, the roots of the polynomial are given by:


Answer:
The values of x that are roots of the polynomial are:


Answer:
Option C is right
Step-by-step explanation:
The figure is a kite divided into 4 right triangles
Top two triangles are congruent and also bottom two triangles
Since top half angle is 45 we have height = base = 45 for top triangle
Top triangle right side area = 1/2 base x height = 1/2 (2.5)(2.5)
Area of two triangles at the top = 2.5 x 2.5 =6.25
Now bottom triangles each has base 6m and height same as 2.5 m
Hence area of two triangles at the bottom=2(1/2 )(6)(2.5)
=15
Together the total area of the figure = 6.25 +15 = 21.25 m^2
Option C is right.
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