This is the way to solve the problem
Answer:
x + y = 14
Step-by-step explanation:
Parallel lines have the same slope, so the line's slope will be -1.
Plug this slope and the given point into y = mx + b to find b:
y = mx + b
4 = -1(10) + b
4 = -10 + b
14 = b
Then, plug this and the slope into y = mx + b
y = -x + 14
Then, put this into standard form by moving the x to the other side:
x + y = 14 is the equation in standard form
No they are different speeds- 40mbps is faster , however both have the same units
Answer:
The series is absolutely convergent.
Step-by-step explanation:
By ratio test, we find the limit as n approaches infinity of
|[a_(n+1)]/a_n|
a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)
a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)
[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]
= |-3n³/2(n+1)³|
= 3n³/2(n+1)³
= (3/2)[1/(1 + 1/n)³]
Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity
= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity
= 3/2 × 1
= 3/2
The series is therefore, absolutely convergent, and the limit is 3/2
Answer:
$84
Step-by-step explanation:
Simple Interest = Interest rate*Principle*number of years
= (3÷100)*$700*4
=$84
