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:
My answer-
Simplifying
5x + -14 = 8x + 4 Reorder the terms:
-14 + 5x = 8x + 4
Reorder the terms:
-14 + 5x = 4 + 8x Solving
-14 + 5x = 4 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x
-14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0
-14 + -3x = 4 + 0
-14 + -3x = 4
Add '14' to each side of the equation.
-14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0
0 + -3x = 4 + 14
-3x = 4 + 14 Combine like terms: 4 + 14 = 18
-3x = 18 <span>
Divide each side by '-3'.
x = -6
Simplifying
x = -6
If you need anything else on brainly let me know :)</span>
Answer:
c would be the right and its the best answer
<span>We are not told how often the interest is compounded, so assuming it is <em /><u><em>compounded yearly</em></u>, you need to keep $9.99 in the account to pay the fee.
<u><em>Explanation: </em></u>
Compound interest follows the formula A=p(1+r)^t,
where:
A is the total amount in the account,
p is the amount of principal,
r is the interest rate as a decimal number,
and t is the number of years.
<u>For our problem: </u>
A = 9.99,
p is unknown,
r = 0.018% = 0.00018,
and t=1.
<u>This gives us: </u>
9.99=p(1+0.00018)^1;
9.99=p(1.00018).
<u>Divide both sides by 1.00018: </u>
9.99=p.</span>
=7x^4+15x^3+4y^2 I hope this helps!!
