Answer:
3.5%
Step-by-step explanation:
4000*3.5% =1400
4000-1400=2600 percentage rosie loss 3.5%
The derivative of 
at a point 
in the direction of a vector 
is
We have
and
Then the derivative at 
in the direction of 
is
Answer:
105degrees
Step-by-step explanation:
Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;
<RST + <TQR = 180
5x+15 + 4x+ 3 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
Since <RST = 5x+15
<RST = 5(18) + 15
<RST = 90 + 15
<RST = 105degrees
Hence the measure of <RST is 105degrees
<em>WORD PROBLEM:</em>
<h3><u><em>Flock of birds flew for 2 3/4 hours. The next day , they flew for 3 4/5 hours. How many hours did the birds fly in total?</em></u></h3><h3><u><em /></u></h3><h3><u><em>PROBLEM:</em></u></h3><h2><em>
2 3/4 + 3 4/5</em></h2><h2><em>
</em></h2>
Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
