Answer: SECOND OPTION
Step-by-step explanation:
Substitute any value of <em>n</em> shown in the table attached into each function given in the options, and observe if you obtain the value of 
shown in the table.
Let's substitute n=1 (According to the table, you need to obtain 
):
<u>For the first option:</u>
<u>For the second option:</u>
THIS IS THE FUNCTION
<u>For the third option:</u>
<u>For the fourth option:</u>
Therefore, the answer is the second option.
B
Simplify to 2 x 7 because they are both being divided by 8, so they cancel each other out.
Answer:
log2 10 = 3x
Step-by-step explanation:
Basic Logarithm Tenets
Answer:
x=-4
Step-by-step explanation:
Cross multiply to get:
3x=4(x+1)
3x=4(x+1)
3x=4x+4
x=-4
Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
