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:
90
Step-by-step explanation:
= 6(12+3)
= 6*12 + 6*3
= 72 + 18
= 90
Answer:
not sure if it's ryt but I think it's A
Answer: exact form: 7/5
Decimal form: 1.4
Mixed form: 1 2/5
Step-by-step explanation: