Answer:
This series is divergent
F
Step-by-step explanation:
we are given a series
Firstly, we will find nth term
Numerator:
3, 4, 5,...
so, nth term will be
Denominator:
4,5,6,....
so, nth term will be
so, we can find it's nth term as
we can use divergent test
we can divide top and bottom by n
now, we can plug n=inf
Since, it is non-zero value
so, this series is divergent
Answer:
y=-1/2x+3/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(5-1)
m=-2/4
m=-1/2
y-y1=m(x-x1)
y-1=-1/2(x-1)
y=-1/2x+1/2+1
y=-1/2x+1/2+2/2
y=-1/2x+3/2
$0.15x>$5.00
x>33.3333
So if she sends or receives more than 33 text messages, she will be paying more than $5.00.
There are 2 short sides x and 1 long side y.
x+x+y=1,800
2x+y=1,800
y=1,800-2x
The area of the rectangle is A=x(1,800-x).
A is a function with variable x. Moreover it is a quadratic (second degree) function.
The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:
(x)(-x)=-x^2.
This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.
The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.
Answer:
A=x(1,800-x)
largest area is when x=900
Answer:
c. $467.29
Step-by-step explanation:
The total of balances is $9360. The payment can be computed using the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^-n)
where A is the monthly payment, P is the principal (total balance), r is the annual rate, and n is the number of months.
Filling in your numbers, we have ...
A = $9360(0.18/12)/(1 -(1 +0.18/12)^-24) ≈ $467.29
Frank's monthly credit card payment will be $467.29.
