Answer:
(4,-5)
Step-by-step explanation:
For point K we move 4 units to the right from the origin so the x coordinate is 4
Then we move 5 units down so the y coordinate is -5
The coordinates are (x,y) so K = (4,-5)
Answer:
Video Games = $5.25
Movies = $1.25
Step-by-step explanation:
(3x + 5y = 30)2
6x + 2y = 18
Video Games (y) = 5.25
6x + 10y = 60
<u>- 6x + 2y = 18 </u>
(8y)/8 = (42)/8
<u> </u>
6x + 2(5.25) = 18
6x + 10.5 = 18
6x = 7.5
x = 1.25
Double Check by plugging in the numbers
By the Stolz-Cesaro theorem, this limit exists if
also exists, and the limits would be equal. The theorem requires that
be strictly monotone and divergent, which is the case since
.
You have
so we're left with computing
This can be done with the help of Stirling's approximation, which says that for large
,
. By this reasoning our limit is
Let's examine this limit in parts. First,
As
, this term approaches 1.
Next,
The term on the right approaches
, cancelling the
. So we're left with
Expand the numerator and denominator, and just examine the first few leading terms and their coefficients.
Divide through the numerator and denominator by
:
So you can see that, by comparison, we have
so this is the value of the limit.
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount deposited.
R represents interest rate
T represents the duration of the in years.
From the information given,
P = 6000
R = 5%
T = 1 year
I = (6000 × 5 × 1)/100 = $300
The amount of interest earned each year is $300
Answer:
Step-by-step explanation:
d= 749 because if there both a whole and you multiply it you get one whole or it could be one because one has no value so it can be written as 749/749 which is a whole