Find the slope between the points (-3, -2) and (5, 4) (type in integer or reduced fraction you found only)
1 answer:
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Answer:
Step-by-step explanation:
It is important to remember the definition of "Linear pair angles".
By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.
Based on this, we know that the angles and
are supplementary, which means that they add up to 180 degrees.
So, knowing that:
We can write the following expression and solve for "x":
Therefore, substituting, we get that the measures of the angles and
are:
Answer:
She must sell at least 18 policies to make an annual income of at least $8,000
Step-by-step explanation:
Let be the number of policies Mrs. Robinson must sell
We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:
Now we know that she makes $183 per policy sold. Since is the number of policies sold,
is her total commission for selling
policies.
We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:
Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:
Let's solve the inequality:
1. Subtract 4800 from both sides
2. Divide both sides by 183
Since she can't sell a fraction of a policy, we must round the result to the next integer:
We can conclude that she must sell 18 policies to make an annual income of at least $8,000.