The appropriate exponential function for the first question is
... A: f(n) = 10 × 1.2^n
To find the revenue from sales of that many glasses, we multiply by the sale price to get
... B: 0.5(10 × 1.2^n)
-11v + 3v = -8v
-8 = 24, 24 + 8 = 32
-8v/ -8 = 32/-8
v = -4
hope this helps
<span>The equation of a circle with center C=(h,k) and radius r is:
(x-h)^2+(y-k)^2=r^2
In this case the center is the point C=(a,b)=(h,k)→h=a, k=b, then:
(x-a)^2+(y-b)^2=r^2
We can apply the Pythagorean Theorem to find the distance between any point of the circle P=(x,y) and the Center C=(a,b). This distance must be equal to the radius of the circle:
A^2+B^2=C^2, where A and B are the legs of the triangle and C is the hypothenuse.
In this case, according with the figure: The legs of the triangle are:
A=x-a
B=y-b
And the hypothnuse C=r
Then replacing in the Pythagorean Theorem:
(x-a)^2+(y-b)^2=r^2
Equal to the equation of the circle </span>(x-a)^2+(y-b)^2=r^2
Answer:
A:linear function for both :
beach: y=-2x+100 (x=0, y=100)
dunes=5x+20 ( when x=0, y=20 (year1995)
B: after almost 11 years: it will be year 2006 and 2007 (after 11.429 years)
C: when the two rates of erosion are equal at the rate of 77 and almost 11 years
-2x+100=5x+20
-2x-5x=-100+20
-7x=-80
-80/-7=x
x=11.429
y=77.143
