From the listed choices, you can prove the series diverges using either the integral or <em>p</em>-series test.
We have
which diverges to infinity, so the series is divergent.
The series
converges only for 
. In the given sum, we have 
, so the series is divergent.
Your answer would be a=-6.12
Answer: $2,393.42
Step-by-step explanation:
I suppose that the salary is yearly.
So in one year, 365 days, the net pay would be $62,400.
Now, "by-weekly" refers to two weeks or 14 days.
If she gets paid $62,400 in 365 days.
Then in 14 she gets paid.
N = (14/365)*$62,400 = $2,393.42
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
- <em>John has × marbles </em>
John=x
- <em>Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.
</em>
We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
Answer:
6%
Step-by-step explanation:
We have to calculate the interest rate in the note, we must follow the following steps, calculate the amount of time remaining from the year 2021, as follows:
interest is for 5 months i.e. from Aug 01 to Dec 31 for year 2021
, so it means it would be 5/12 months.
We have to calculate the interest as follows:
I = P * R * T
We replace:
200 = 8000 * R * 5/12
we solve for R
200 * 12/5 = 8000 * R
R * 8000 = 480
R = 480/8000
R = 0.06
Which means that the interest rate on the note is 6%
