Tim worker estimates his taxable income will be $7000. He is paid twice a month or 24 times a year. Because Tim has only one sou
2 answers:
Answer:
Tim pays $29.16 each time and per month he pays $58.32.
Step-By-Step Explanation:
Tim's taxable income is $7000.
According to default tax table, people who earn under $10,000 has to pay 10% in taxes.
This means that:
Tim's taxes will be = 0.1 * 7000 = $700
Now, as given, he pays twice a month. This means that he pays 24 times a year.
Therefore this is
Hence, Tim pays $29.16 each time or 29.16*2= $58.32 per month.
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Answer:
5 trees should be planted to maximize the yield per acre,
The maximum yield would be 1250
Step-by-step explanation:
Given,
The original number of trees per acre = 20,
Average pounds of nuts by a tree = 60,
Let x be the times of increment in number of trees,
So, the new number of trees planted per acre = 20 + x
∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,
So, the new number of pounds of nut = (60 - 2x)
Thus, the total yield per acre,
Differentiating with respect to t ( time ),
Again differentiating with respect to t,
For maxima or minima,
⇒ 20 - 4x = 0
⇒ 20 = 4x
⇒ x = 5,
For x = 5, Y''(x) = negative,
Hence, Y(x) is maximum for x = 5,
And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,
i.e. 5 trees should be planted to maximize the yield per acre,
and the maximum yield would be 1250 pounds