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:
144
Step-by-step explanation:
720/5 = 144
The equation for the determination of the z-score is shown below.
z-score = (x - μ) / σ
where x is the value in which we need to determine the z-score, μ is the mean or the average, and σ is the standard deviation.
Substituting the known values,
z-score = (1,030.00 - 1,200) / 100 = -1.7
Therefore, the z-score of 1,030 is -1.7.
Step-by-step explanation:
Given that:
a = 2ˣ
b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ
Now,
{(8a³)/b²}
Substitute the value of x and y in expression then
= [{8(2ˣ)³}/(2.2ˣ)²]
= [(8*2³ˣ)/{2² * (2ˣ)²}]
= {(8*2³ˣ)/(4 * 2²ˣ)}
[since, (aᵐ)ⁿ = aᵐⁿ]
= {(2 * 2³ˣ)/2²ˣ}
= {(2 * 2²ˣ * 2ˣ)/2²ˣ}
[since (2a = a+a, that means 3x = 2x + x)]
= 2 * 2ˣ
= 2ˣ⁺¹
[since (aᵐ * aⁿ = aᵐ+ⁿ)]
<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .
Please let me know if you have any other.
Answer:
5000
Step-by-step explanation:
