Answer:
$80
Step-by-step explanation:
The formula for p is ...
p = I/(rt)
Filling in the given values, we get ...
p = $20/(0.05·5) = $80
The amount that will generate the desired interest is $80.
4.3 Solving 3x2-2x-1 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -2
C = -1
Accordingly, B2 - 4AC =
4 - (-12) =
16
Applying the quadratic formula :
2 ± √ 16
x = —————
6
Two real solutions:
x =(2+√16)/6
or:
x =(2-√16)/6
Answer:
x^2 +y^2 -40x -24y -81 =0
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
Assuming that Pamela's cabin is the center
( x-20)^2 + (y- 12)^2 = 25^2
We want to get to general form
x^2 + y^2 + Dx + Ey + F = 0,
Distributing
x^2 -40x +400 + y^2 -24y +144 = 625
x^2 +y^2 -40x -24y +544 -625 =0
x^2 +y^2 -40x -24y -81 =0
As for this question, there are a lot of factors to take in. Some of it would be how the board is positioned, is it on the ground or perpendicular to the ground, how hight is it from the ground, how big is it which would determine how big the square are, how are the odd number from 1 to 9 and their opposites arranged in the board, how far are you from the bean bag, and so on. Thus, when all of these are taken into consideration, the most appropriate answer to this problem would it depends on the thrower's use of force. An overexertion and the lack of force to throwing the bean bag would probably result to a 0, meaning there is none of the 10 squares that the bean bag landed. Other than that, having a target in mind while throwing and the average amount of force with the distance from the board taken into account, the chances of landing a positive number and a negative number are the same.
Answer: The maximum = 3 tons
Step-by-step explanation:
The cost function C(x) = x + 5x + 7
P(×) = 13x - x^2 - 5x -7
If x <3
P= x^2 +8x -7
Differentiating to get x
dp/dx = -2x + 8
X= 8/2
C=4
Maximum will be 3 tons
When x=3
P= 13x - x^2 -5x +7 -3x + 9
When x>3
dp/dx = x^2+5x +2
X = 5/2 = 2.5
