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:
y = mx+b
m represents the slope and b represents the y-intercept
since you have the slope and a point you can find here the line crosses the y-axis
y = -1/2x + b
the point (-14, 6) can be substituted into the eq for x and y
(6) = -1/2(-14)+b
6 = 7 +b (subtract 7 from both sides)
-1 = b
The line crosses the y-axis at -1
Answer:
An even number
Step-by-step explanation:
Integers which are multiples of 2, are even numbers.
Integers which aren't multiples of 2, are odd numbers.
As integers can be positive and negative both, odd and even numbers also can be positive and negative.
