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>
I worked the problem by hand. First I used the equation y=mx+b to find the rule for the function. To find m which is the same as the slope you use the change in y divided by the change in x. Or the change in output divided by the change in input. The two points or coordinates used were (-2,-4) and (1,-1). Once you have the slope you use y=mx+b and substitude y by any value of y (-4 or -1) and m is the slope calculated and x would be the corresponding x to the y value used (if -4 was chosen for y then -2 would be used for x). This will be used to calculate b.
Coefficients are 2 and 3
Constant is M
Answer:
$20.51 tip Russell leaves
Step-by-step explanation:
18.99 per weight
buys 9 weights
18.99 x 9 is 170.91
170.91 x 12% is 20.51 tip
170.91+20.51=$191.42
Answer:
More work space
Step-by-step explanation:
