When you multiply you just multiply the numerators and the denominators.
when you divide, you flip the second fraction over and then multiply the fraction.
when you add fractions you multiply across then add the two fractions.
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>
T=number of years since start of the study.
y=city´s population.
first year:
y=390,000+0.073(390,000)=390,000(1+0.073) (=418470)
Second year:
y=(390,000(1+0.073) + 0.073(390,000(1+0.073) =
=390,000(1+0.073) (1+0.073)
=390,000(1+0.073)²
(≈449,018.31)
Third year: if you calculate it you would have:
y=390,000(1+0.073)³
Fourth year: if you compute it you would have:
y=390,000 (1+0.073)⁴
t th year:
y=390,000(1+0.073)^t
Answer: y=390,000(1+0.073)^t
Answer:
594
Step-by-step explanation:
You multiply 18 by 3 by 11 :)
(10x + 4) + (5x-4) ≈ 180
solve for x and you get x≈12
plug 12 in to 5x-4 and you get 56