Answer:
C $250
Step-by-step explanation:
based on the question we can get the equation
where m = money, the years are converted to months
15000 = 60m
divide by 60 to each side
m= 250
Answer:
Please refer to the attachment
Answer:
2006 : 24 = 83 R 14
83 : 7 = 11 R 6
7 am + 14 = 9 pm
Thurstay + 6 days = Wednesday
It will be: Wednesday, 9 pm
We start with

and wish to write it as

First, pull 2 out from the first two terms:

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have

and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square:

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have

and when we multiply that out it does not give us what we started with. It gives us

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.
We do this as follows:

which gives us the final expression we seek:

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e = -103
We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106
Answer:
a) Domain: all real values of x
Range: all real values of y
b) Relative maxima: (0,3)
Relative minima: (2,-1)
c) yes, (1,1)
d) x < 0, x > 2
Step-by-step explanation:
a) Domain: all real values of x
Range: all real values of y
b) dy/dx = 3x² - 6x = 0
3x(x - 2) = 0
x = 0, y = 0³ - 3(0)² + 3 = 3
x = 2, y = 2³ - 3(2)² + 3 = -1
d²y/dx² = 6x - 6
x = 0, d²y/dx² = -6 < 0 (max)
x = 2, d²y/dx² = 6 > 0 (min)
c) d²y/dx² = 0 at points of infection
6x - 6 = 0
x = 1
y = 1³ - 3(1)² + 3 = 1
dy/dx at x = 0.9: 3(0.9)² - 6-(0.9)
= -0.298
dy/dx at x = 1.1: 3(1.1²) - 6(1.1)
= -0.297
Decreasing on both sides, therefore (1,1) is a point of inflection
d) increasing when dy/dx > 0
3x² - 6x > 0
Roots: x = 0, 2
x < 0, x > 2