7. Correct
- - -
9. By the ratio test, the series will converge if
The limit reduces to
where
because
is given. So the series converges when
This means the radius of convergence is
.
- - -
10. By the ratio test, the series converges if
The limit is
and so the radius of convergence is 1.
- - -
11. Incorrect. By the root test, the series converges for
which means the series converges for all
, and so the interval of convergence is
.
- - -
For 14 and 16, it'll probably be too late to edit this post by the time you see this. You can try posting the remaining problems in a new question.
Answer: the sales for the month must be greater than or equal to $6666.7
Step-by-step explanation:
Let x represent her sales for the month.
Liz earns a salary of $2,500 per month, plus a commission of 6% of her sales. If she makes sales worth $s for the month, then her commission for the month would be
6/100 × s = 0.06 × s = 0.06s
Her total income for a month would be
2500 + 0.06s
She wants to earn at least $2,900 this month.
Therefore, the inequality that represents the situation would be
2500 + 0.06s ≥ 2900
0.06s ≥ 2900 - 2500
0.06s ≥ 400
s ≥ 400/0.06
s ≥ 6666.7
Answer:
y=2x+3
Step-by-step explanation:
I'm smart
....................
Step-by-step explanation:
Here in the given figure the value of x will be 70° ( being alternative angle )
x = 70°
Now...
y = 60° ( being corresponding angle )
Now...
60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°
z = 180° - 130°
z = 50° ..
Answer:
81
Step-by-step explanation: