Answer:
<h2>A. The series CONVERGES</h2>
Step-by-step explanation:
If
is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

If
< 1, the series converges absolutely
If
, the series diverges
If
, the test fails.
Given the series 
To test for convergence or divergence using ratio test, we will use the condition above.



aₙ₊₁/aₙ =

note that any constant dividing infinity is equal to zero



Since The limit of the sequence given is less than 1, hence the series converges.
<span>Perimeter =2w+2L= 520.
We can solve this by understanding that the area is maximized by a square
Therefore L=w.
p=2w+2w=520=4w
w=130
Area
A=wL=130(130)= 16900 square yards</span>
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
Answer:
Required equation is: 25n = 875
Step-by-step explanation:
Let n be the number of minutes Jonathon read per day
Now
He read for 25 days and total 875 minutes
The equation will be:

We can solve this equation to find the number of minutes each day
Using Division property of Equality

Hence,
Required equation is: 25n = 875
Answer:
hope it helps u
Step-by-step explanation:
7y + 4x - 10 + 5y - 5 + x
= 7y+5y+4x+x–10–5
= 12y+5x–15