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:
8k + 5k + 25
Or
13k + 25
Step-by-step explanation:
Lana's total sales = 8k + 5(k+5)
Since the expressions are not given in the question;
The equivalent expression could be
= 8k + 5k + 25
Equivalent to
= 13k + 25
Y = -5x + 1
x = 1 , y = -4
x = 2 , y = -9
x = 3 , y = -14
so the answers are
(1,-4)
(2,-9)
(3,-14)
Answer:
1000 (one thousand)
Step-by-step explanation:
