Answer:
$1,061
Step-by-step explanation:
2% of 1000 is 20.
If 2% is compounded yearly, then
year one- $1,020
year two- $1,040.40
year three- $1,061.21
Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.
1. Introduction. This paper discusses a special form of positive dependence.
Positive dependence may refer to two random variables that have
a positive covariance, but other definitions of positive dependence have
been proposed as well; see [24] for an overview. Random variables X =
(X1, . . . , Xd) are said to be associated if cov{f(X), g(X)} ≥ 0 for any
two non-decreasing functions f and g for which E|f(X)|, E|g(X)|, and
E|f(X)g(X)| all exist [13]. This notion has important applications in probability
theory and statistical physics; see, for example, [28, 29].
However, association may be difficult to verify in a specific context. The
celebrated FKG theorem, formulated by Fortuin, Kasteleyn, and Ginibre in
[14], introduces an alternative notion and establishes that X are associated if
∗
SF was supported in part by an NSERC Discovery Research Grant, KS by grant
#FA9550-12-1-0392 from the U.S. Air Force Office of Scientific Research (AFOSR) and
the Defense Advanced Research Projects Agency (DARPA), CU by the Austrian Science
Fund (FWF) Y 903-N35, and PZ by the European Union Seventh Framework Programme
PIOF-GA-2011-300975.
MSC 2010 subject classifications: Primary 60E15, 62H99; secondary 15B48
Keywords and phrases: Association, concentration graph, conditional Gaussian distribution,
faithfulness, graphical models, log-linear interactions, Markov property, positive
Answer:
y=-5/4x+5
Step-by-step explanation:
Hi there!
We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)
Parallel lines have the same slopes
First, we need to find the slope of 5x+4y=24.
We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)
subtract 5x from both sides
4y=-5x+24
divide by 4 on both sides
y=-5/4x+6
since -5/4 is in the place where m should be, it is the slope.
So the equation of the line parallel to it will also have -5/4 as the slope
Here's the equation so far in slope-intercept form:
y=-5/4x+b
we need to find b
because the equation will pass through (8,-5), we can use it to solve for b
substitute 8 as x and -5 as y
-5=-5/4(8)+b
multiply
-5=-10+b
add 10 to both sides
5=b
substitute 5 as b into the equation
<u>y=-5/4x+5</u>
That's the equation of the line parallel to 5x+4y=24.
Hope this helps!
Answer: <u>3.7</u>
Step-by-step explanation: 3.706, but since you need it rounded to the nearest tenth its 3.7. If you put both equations on a graph, they intercept. We use the x coordinate in this intersection as the answer.
<span>kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
a square does fir this definition since it has 4 equal sides, hence 2 pairs and hte equal sides are adjacent to each other.
so yes a square is a kite
the definition of a rectangle is </span>
<span>a figure with four straight sides and four right angles,
</span>
a parallelogram with 4 right angle woudl be a rectangle but any without would not
so it can be, but generally is not
