Benson earned 70 points per game not including the bonus points.
Step-by-step explanation:
Given,
Games of trivia played = 12
Bonus points received per game = 35 points
Bonus points for 12 games = 35*12 = 420 points
Total points earned = 1260 points
Points earned in games = Total points - bonus points
Points earned in games = 1260 - 420 = 840 points
As he scored 840 points in 12 games, therefore,
12 games = 840 points
1 game =
Benson earned 70 points per game not including the bonus points.
Keywords: subtraction, division
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We are given that Kristine spends $20 and saves the rest each time she get paid.
We can use slope-intercept form y=mx+b to represent the equation.
Where x represents the amount Kristine earns and y represents the amount she saves.
Kristine spends $20. Therefore b= -20.
Plugging mx as just x and b=-20.
<h3>y = x-20.</h3><h3>If we plug y=0, we get </h3><h3>0 = x-20</h3><h3>x=20.</h3><h3>We can see in 4th option we have x-intercept =20.</h3><h3>Therefore, correct option is 4th option. </h3><h3 />
Answer:
a). r =
b). At least 5 terms should be added.
Step-by-step explanation:
Formula representing sum of infinite geometric sequence is,
Where a = first term of the sequence
r = common ratio
a). If the sum is seven times the value of its first term.
7(1 - r) = 1
7 - 7r = 1
7r = 7 - 1
7r = 6
r =
b). Since sum of n terms of the geometric sequence is given by,
If the sum of n terms of this sequence is more than half the value of the infinite sum.
>
n[log(0.85714)] < log(0.5)
-n(0.06695) < -0.30102
n >
n > 4.496
n > 4.5
Therefore, at least 5 terms of the sequence should be added.