Answer:
Step-by-step explanation:
Find, find the total increase in salary for 7 years;
If 1 year = $4,000
7 years = ?
=7*4000
=28,000 in total
Original salary = $169,300
Add the total increase in salary to the original salary;
169,300 + 28,000 = 197,300
Therefore, in 7 years, the salary would be $197,300
Let m = slope = -4/5
P(x,y) = P(5,10)
Slope-intercept form for the equation of a line:
y=mx+c
Plug m= -4/5 into the slope-intercept formula
y = -4/5x + c
Plug P(5,10) into point-slope formula
y = -4/5x + c
10 = -4/5(5) + c
10 = -4 + c
substract -4 from both sides,
10 - (-4) = -4 - (-4) + c
14 = c
So, the equation is y = -4/5x + 14
Answer:
x=4
Step-by-step explanation:
In triangle MLK
- it is a equilateral triangle
- Hence
- ML=LK=MK=5
Now come to triangle MKJ
- It is a isosceles triangle
- Hence
- MJ=Mk
MK=5
Hence
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
