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Please pleasse help math graph 17 pts
1 answer:
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Answer:
Step-by-step explanation:
Required
Find n, x, p and q
n always represent the population surveyed;
So:
x represents the sample from the population
So:
p always represents the given proportion
Solving for q
Answer:
a. A(x) = (1/2)x(9 -x^2)
b. x > 0 . . . or . . . 0 < x < 3 (see below)
c. A(2) = 5
d. x = √3; A(√3) = 3√3
Step-by-step explanation:
a. The area is computed in the usual way, as half the product of the base and height of the triangle. Here, the base is x, and the height is y, so the area is ...
A(x) = (1/2)(x)(y)
A(x) = (1/2)(x)(9-x^2)
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b. The problem statement defines two of the triangle vertices only for x > 0. However, we note that for x > 3, the y-coordinate of one of the vertices is negative. Straightforward application of the area formula in Part A will result in negative areas for x > 3, so a reasonable domain might be (0, 3).
On the other hand, the geometrical concept of a line segment and of a triangle does not admit negative line lengths. Hence the area for a triangle with its vertex below the x-axis (green in the figure) will also be considered to be positive. In that event, the domain of A(x) = (1/2)(x)|9 -x^2| will be (0, ∞).
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c. A(2) = (1/2)(2)(9 -2^2) = 5
The area is 5 when x=2.
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d. On the interval (0, 3), the value of x that maximizes area is x=√3. If we consider the domain to be all positive real numbers, then there is no maximum area (blue dashed curve on the graph).
The rate of interest is 12.2 %
<em><u>Solution:</u></em>
Given that, Mr mojo borrowed $9000 for 10 years to make home improvements
He repaid a total of $ 20000
To find: Rate of interest
We can use simple interest formula to calculate the rate of interest
Total amount = Principal + simple interest
20000 = 9000 + simple interest
Simple interest = 20000 - 9000
Simple interest = 11000
<em><u>The simple interest is given as:</u></em>
Where,
"I" is the simple interest
"p" is the principal
"r" is the rate of interest
"t" is the number of years
Substituting the values,
Thus rate of interest is 12.2 %