Answer:
93
Step-by-step explanation:
First differences increase by 4 each time. The given numbers are a quadratic sequence that can be described by 2n² -2n +9. The 7th term would be 93.
_____
First differences are ...
13-9 = 4, 21-13 = 8, 33-21 = 12, 49-33 = 16, 69-49 = 20
Second differences are ...
8-4 = 4, 12-8 = 4, 16-12 = 4, 20-16 = 4
When second differences are constant, the sequence can be represented by a second-degree polynomial function. The leading coefficient is half the value of the second differences.
Check the picture below.
a)
notice, since lines KP and NL are parallel, they make up the same angle in purple when they hit line MK, and both triangles share the green angle at M.
b)
notice, LP = LK = 14, and in an isosceles twin sides stemming from a vertex make twin angles.
17 percent because the answer is 16.72 percent but when you round it up you get 17.
Answer:420$
Solution: 105•4= 420$
25%= 1/4 therefore we can find the original price by multiplying the decrease with 4
The total distance that will be covered is
25 - 3 = 22
If we let x be the head start that Ario will have before Miguel starts, then we have the equation
x / (22 - x ) = 1/4
Solve for x
x = 4.4
Ario will have to travel 4.4 meters before Miguel starts