Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
1 answer:
Answer:
Required inequality is .
Step-by-step explanation:
Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.
Calculation is given by:
Salary per year = $4,800
Average price of a policy = $6,100.
commission on her sales = 3%
Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183
Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x
then total commission on x policies = 183x
Total income using x policies = 4800+183x
Since she wants to make an annual income of at least $8,000. so we can write inequality as:
Hence required inequality is .
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Answer:
$78.72
Step-by-step explanation:
To find 30% of the original value, we need to turn this percentage into a decimal or a fraction and then multiply it by the original value
- 30% is equivalent to 0.30,
, and
- So we can use either of these values. I will use 0.30 for simplicity
- ($262.40)(0.30) = $78.72 is the amount saved
<h2>Answer:</h2>
y = x + 3
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m =
m =
m =
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = into equation (ii) as follows;
y - 3 = (x - 0)
(iv) Solve for y from (iii)
y - 3 = x
y = x + 3 [This is the slope intercept form of the line]
Where the slope is and the intercept is 3
- + 6
divide each term on the numerator by 7b
= - 7 / 7b + 42
/ 7b
= - + 6