Answer:
$69560
Step-by-step explanation:
The yearly compensation package includes a yearly salary of $65000, the health insurance plan of $350 per month and a life insurance premium of $30 per month.
Total compensation in health insurance plan is $(350 × 12) = $4200
Total compensation in life insurance premium is $(30 × 12) = $360
Therefore, total yearly compensation package is $(65000 + 4200 + 360) = $69560 (Answer)
Answer:
x = 8
Step-by-step explanation:
If the number 212x5 is a multiple of 3, the sum of the digits needs to be a multiple of 3, so we have:
2 + 1 + 2 + x + 5 = 10 + x
The value of x can be 2, 5 or 8
If the number is a multiple of 11, we have to calculate the first number minus the second, plus the third, minus the fourth... and so on, and the result needs to be a multiple of 11. So we have:
2 - 1 + 2 - x + 5 = 8 - x
x needs to be 8, so we have 8 - 8 = 0, that is a multiple of 11.
So the value of x is 8.
6/15 and 12/18 are ratios of 2/3
The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5
Polynomial is an expression that involves the <em>operations of addition, subtraction, multiplication of variables.</em>
Let C represent the cost for buying and caring for n trees. Given that:
C = 0.001n² - 0.3n + 50.
The minimum cost is at dC/dn = 0, hence:
dC/dn = 0.002n - 0.3
0.002n - 0.3 = 0
0.002n = 0.3
n = 150
C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5
The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5
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