Answer:
Step-by-step explanation:
Given
--- outcomes
-- sample size
Required
This is calculated as:
because none of the outcomes is greater than 12:
So:
Which of the following inequalities matches the graph? (1 point)
1 answer:
Given:
The graph of an inequality.
To find:
The inequality.
Solution:
From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is
Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.
The boundary line is a dotted line. So, x=-3 is not included in the solution set.
So, the required inequality is
Therefore, the correct option is B.
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Answer:
Tina would save the same amount using either option after 20 months.
With either option, Tina would save $700.
Step-by-step explanation:
This problem can be modeled by a first order equation:
Where Tina's saved money after n months is:
S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.
The first option is to put $500 away initially and save $10 every month, so:
The second option is to put $100 away initially and save $30 every month, so:
After how many months would Tina save the same amount using either option?
It will happen at the month n in which , so:
500 + 10n = 100 + 30n
500 - 100 = 30 - 10n
400 = 20n
20n = 400
n = 20.
Tina would save the same amount using either option after 20 months.
How much would she save with either option?
We can choose or
, since they are equal
With either option, Tina would save $700.