A = lw (Area=length x width) 7x21= 147
The area is 147.
Answer:
$5751.37
Step-by-step explanation:
The key phrase here is "compounded continuously". This phrase tells you that you must use the following equation:
Where A is the final amount, P is the principal amount, e is the exponential constant, r is the rate in decimals and t is time. By plugging in our known values given we obtain:
Answer:11
Step-by-step explanation:
Answer:
First Graph:
Slope = - 4/5
Point-Slope Form: y - 3 = - 4/5 (x + 2)
Point: (-2, 3)
Second graph:
Slope = 4
Point-Slope Form: y + 6 = 4 (x + 1)
Point: (-1, -6)
Step-by-step explanation:
First graph has two points: (-2, 3) & (8, -5)
Use the two points to find the slope using the Slope-Formula
Slope-Formula: y2 - y1/x2 - x1
m = slope
m = - 5 - 3/8 - - 2
m = - 8/10
m = - 4/5
The slope of the line will be - 4/5
Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph
Two points: (-2, 3) & (8, -5)
Slope: - 4/5
Point-Slope Formula: y - y1 = m (x - x1)
Point-Slope Form: y - 3 = - 4/5 (x + 2)
The point will be: (-2, 3)
Answer: False
Natural numbers are not closed under division
Some natural numbers divide to get another natural number. For example, divide 10 over 2 to get 10/2 = 5.
However, there are infinitely many natural numbers that divide to get something that isn't a natural number. Example: 10/7 = 1.43 approximately. All we need is one counterexample to contradict the original statement.
A set is considered closed under division if dividing any two values in that set leads to another value in the set. More formally, if a & b are in some set then a/b must also be in the same set for that set to be closed under division.
If we changed "natural numbers" to "rational numbers", then that set is closed under division. If p, q are rational numbers then p/q is also rational. Basically, dividing any two fraction leads to some other fraction. The value of q cannot be zero.
