First lets get 3% into decimal form.
3% is 3/100 = 0.03
Now multiply 0.03 by 47000 to get how much extra money she was going to get.
47000 * 0.03 = 1410
Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012
Another way to do this is
(47000)(1+0.03) = 48410
you would use (1+0.03) which tells you she increased in pay.
Answer:
They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.
Step-by-step explanation:
This is because x = -2 and half of -2 is 1
when we use CD line and x2 we find 8x+4y=16 when added to 2x -4y=8 would equal 10x+4y = 2 1/2 xy = 16
When we use for AB line we see they are perpendicular 2 1/2 x 2 = 5 -4y = 8 shows y to be -2 and the 1/2 line leaves -2 1/2 and x also is 2 1/2.
VERTEXTo determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex =

y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex =

x vertex =

x vertex =

x vertex = 1
To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49
The vertex is (1, -49)X-INTERCEPTx-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)The answer is first option
Answer:
Option B is correct, i.e. √13.
Step-by-step explanation:
Given is the complex plane and the coordinates of point A(-3, -2).
Distance from the origin of point A could be find using Distance formula given as follows:-
Distance = √{(-3-0)² + (-2-0)²}
OA = √(9+4)
OA = √13.
Hence, option B is correct, i.e. √13.
Nina's rate is 12.7 mph and Sophia's rate is 10 mph. Therefore, Nina is faster.