Assuming the series is
The series will converge if
We have
So the series will certainly converge if
, but we also need to check the endpoints of the interval.
If
, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if
, by the alternating series test we can show that the series converges, since
and is strictly decreasing.
So, the interval of convergence for the series is
.
Answer:
$143.2
Step-by-step explanation:
20% of 179 is 35.8
so 179-35.8 = 143.2
1) The scenario is represented by the equation 1/8(x+16)=76/8, where x is the food bill.
2) The total food bill is represented by the equation x=60.
Both of these responses are correct.
Step-by-step instructions:
Because there are eight buddies in the group, the total money spent by them is $76 (including the $16 tip).
Our equation can be as follows if x is the food bill:
76/8 = (x+16)/8
Solving the Problem
9.5 = (x+16)/8
9.5*8 Equals x+16
x=76 -16 x=76 -16 x=76 -16 x=
60 = x
The cost of food is x=60.
Answer:
$14
Step-by-step explanation:
30% -> 0.3
20 x 0.3 = 6
20 - 6 = 14
The new price of the shirt will be 14 dollars.
Hope this helps, have a nice day :D
Answer:
Step-by-step explanation: