The amount that it rises each minute forms a geometric sequence...
a(n)=ar^(n-1), and we know that a=100 ft and r=1/2 so
a(n)=100(1/2)^(n-1)
And the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r)
s(n)=100(1-0.5^n)/(1-0.5)
s(n)=200(1-0.5^n)
So we can call these sums the height function
h(t)=200(1-0.5^t)
So after 5 minutes...
h(5)=200(1-0.5^5)
h(5)=193.75 ft
Answer:
B (2, 4)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the constant of proportionality k is given and is equal to

so
The linear equation is given by

That means ----> the y-coordinate is two times the x-coordinate
therefore
The other point is B(2.4)
Because
For x=2, y=4
the y-coordinate is two times the x-coordinate

Answer:
64.286ft
Step-by-step explanation:
6.25-->14
x-->144in=12ft im going to asume you meant 144ft or that would be a very small building
14/6.25=2.24ft shadow for 1 real foot
144/2.24=about 64.286ft
X=5
7(5)-8=35-8=27
3(5)+12=15+12=27