Answer:
$29.50
Step-by-step explanation:
First we need to find the tip
tip = pre tax bill * 10 %
tip = 25 * .10
tip =2.5
Next we need to find the tax
tax = pre tax bill * 8%
tax = 25 * .08
tax =2
Final bill = pre tax bill + tax + tip
Final bill = 25 + 2 + 2.5
=29.50
Answer:
Step-by-step explanation:
<u>Mathematical Modeling</u>
To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.
This problem requires to build a model for the yearly cost of a small and successful business.
The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.
The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be
12*1,600x=19,200x.
We finally form the total cost function:
Answer:
Step-by-step explanation:
We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.
ax^2 + bx + c
so
a=4
b=-9
c=2
you can try it by hand or use this:
https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php
you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)
so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis
To make any meaningful calculations here, you'll have to think about how the area of each room is calculated, as well as to invent how much per square yard the various types of carpeting cost.
Note that the cost of carpeting one room would be (room area)(carpet cost per square foot).
