Answer:
Original cost was $19.99
Step-by-step explanation:
100% - 15% = 85%
16.99 / 0.85 = 19.99
To check:
19.99 * 0.15 = 2.998
19.99 - 2.998 = 16.992 = 16.99
Correct!!
Given a series, the ratio test implies finding the following limit:

If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:

Then the limit is:

We can simplify the expressions inside the absolute value:

Since none of the terms inside the absolute value can be negative we can write this with out it:

Now let's re-writte n/(n+1):

Then the limit we have to find is:

Note that the limit of 1/n when n tends to infinite is 0 so we get:

So from the test ratio r=0.4 and the series converges. Then the answer is the second option.
Answer: 
Step-by-step explanation:


We need -9x on the left side, to move it, we must add 9x on both sides.

Done. We have Ax = 9x, By = 1y and C after the equal sign = -6
Answer:
39/56
Step-by-step explanation: