582.83 what is to the nearest whole number
2 answers:
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Answer:
There were $13,200 in Fund B.
Step-by-step explanation:
We are given the following in the question:
Let x be the amount in Fund A and y be the amount in Fund B.
The amount he invested in Fund A was 2000$ less than the amount he invested in Fund B.
Thus, we can write the equation:
Profit percent on Fund A = 7%
Profit percent on Fund B = 8%
Total profit = $1960
Thus, we can write the equation:
Solving the two equations by substitution, we get,
Thus, there were $13,200 in Fund B.
The function increases in the interval (-∞, -3) and the function also increases in the interval (-1,∞) .
The given function is of the form
f(x) = x³ + 6x² + 8x
Now we take the first differentiation of the function
f'(x) = 2x² + 12x + 8
f'(x) = 2 (x² + 6x + 9) -10
f'(x) = 2(x+3)² - 10
Therefore at x = -3 , f'(x) = -10.
Hence the function is increasing in the interval of (-∞, -3)
Again f'(x) = 2x² + 12x + 8 , so after first differentiation we get :
That the function is also increasing in the interval (-1,∞)
Now for the interval (-4,-2), we can say that the graph of the function is positive as the y value increases and then decreases but all y values are positive as illustrated in the graph.
In the interval (0,∞) the function is strictly increasing and has positive values only.
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