Answer:
Step-by-step explanation:
Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:
In order to calculate the dimensions of the rectangular at times its current size, you need to multiply the original lenght by
and multiply the original width by
.
Knowing this, you get:
Answer:
The equation of required line is:
Step-by-step explanation:
We need to write equation in the form Ax+By+C=0 of the line parallel to and through the point (-2,3)
First we need to find slope and y-intercept of the required line.
Using equation of line to find slope.
Since the given line and required lines are parallel there slope is same.
Writing equation in slope intercept form: where m is slope.
So, the slope m = 5/8
The slope of required line is
Now finding y-intercept using slope and point(-2,3)
So, the equation of required line having slope and y-intercept
So, The equation of required line is:
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.