Answer:
The number of people that received copies of the letter at the twentieth stage is<em> 9.537 × 10¹³ </em>.
Step-by-step explanation:
Using the discrete model,
a_k = r a_(k-1) for all integers k ≥ 1 and a₀ = a
then,
aₙ = a rⁿ for all integers n ≥ 0
Let a_k be equal to the number of people who receive a copy of the chain letter at a stage k.
Initially, one person has the chain letter (which the person will send to five other people at stage 1). Thus,
a = a₀ = 1
The people who received he chain letter at stage (k - 1), will send a letter to five people at stage k and thus per person at stage (k - 1), five people will receive the letter. Therefore,
a_k = 5 a_(k - 1)
Thus,
aₙ = a rⁿ = 1 · 5ⁿ = 5ⁿ
The number of people that received copies of the letter at the twentieth stage is
<em>a₂₀ = (5)²⁰ = 9.537 × 10¹³ copies</em>
Answer:
Step-by-step explanation:
Given: 
Since the equation is written in slope-intercept form, it is extremely easy to find the y-intercept. Slope-intercept form is written as:
Whereas:
y: range
m: slope
x: domain
b: y-intercept
With that in mind, we can immediately tell that 6 is the y-intercept.
3x - y = 14
-9x + 3y = -42...divide by -3
3x - y = 14...same as first equation....means same line...means infinite solutions
answer is : 3rd answer choice
We first get the gradient of the equation of a line by taking the
change in y over change in x
Hence our gradient will be
(6-9.5)/(8-1)=-3.5/7=0.5
Taking an arbitrary point(x,y) and using our gradient we get
and one of the points above we get
(y-6)/(x-8)=0.5
y-6=0.5*(x-8)
y-6=0.5x-4
y=0.5x+2 or y=1/2x+2
which is the line of our equation the answer we are
asked for.
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