Identify the focus and directrix of the parabola whose equation is (y-4)^2 = -12(x-7)
2 answers:
Answer : Focus (4,4) , directrix x=10
Given equation is
The given equation is in the form of
Where vertex is (h,k)
h = 7 and k = 4 so vertex is (7,4)
4p = -12 so p = -3
Focus is (h+p, k)
h=7, k=4 and p = -3
focus is (7-3, 4) that is (4,4)
now we find directrix
Directrix x= h-p
So x= 7-(-3)= 10
Focus (4,4) , directrix x=10
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The capital formation of the investment function over a given period is the
accumulated capital for the period.
- (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.
- (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.
Reasons:
(a) The given investment function is presented as follows;
(a) The capital formation is given as follows;
From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;
The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
Which gives;
The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.
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