Answer:
Step-by-step explanation:
For this, we need to find the lowest common multiple of 12 and 15....
common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60
the caller that will be the first to win both is the 60th caller
Answer:
The series converges to for
Step-by-step explanation:
Given the series is
We have to find the values of x for which the series converges.
We know,
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for
And geometric series converges to
Here, a = 1 and r = 9x
Therefore,
Hence, the given series converges to for
The formula for the area of the circle is:
All you have to do is plug in 8 for r :)
Answer:
$269.50
Step-by-step explanation:
Between 42-49
So, you have to assume 49 students will arrive, better to have more and have left overs than get less and not find kids.
As for math you just do 49 x 5.50 = 269.5
Finally that measn the budget for the food is $269.50