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Darya [45]
3 years ago
5

Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 12

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

P(t)=50(1.99)^{t/12}

Step-by-step explanation:

The problem can be modeled by using the compound growth formula.

Given, Initial number P_0 of people who Nicholas sent the chain letter to=50

The growth rate, r =99%=0.99

Period of Growth,k =12 Weeks

P(t)=P_0(1+r)^{t/k}

Therefore, in any week (t) after Nicholas initially sent the mail, the number of people who receive the email is modeled by the function:

P(t)=50(1+0.99)^{t/12}\\P(t)=50(1.99)^{t/12}

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13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
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Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

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So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

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3 years ago
Which choice most effectively combines the
shepuryov [24]

The subject-verb agreement: "Writing as" effectively combines the sentences at the underlined portion.

<h3>What is a Subject-Verb Agreement?</h3>
  • The grammatical principle of the subject-verb agreement states that a sentence's subject and primary verb must agree.
  • Particularly, singular subjects use singular verbs, whereas plural subjects use plural verbs.
  • There must be an agreement between the number of subjects and verbs (singular or plural).
  • This means that if a subject is singular, then the verb must likewise be singular, and if a subject is a plural, then the verb must also be numerous. verbs DO NOT include "an, s" in their single forms.

Therefore option (A) is the correct answer.

To learn more about Subject-Verb Agreement, refer:

brainly.com/question/1835508

#SPJ4

The underlined sentence is:

Also, studies have found that those students who major in philosophy often do better than students from other majors in both verbal reasoning and analytical <u>writing. These results</u> can be measured by standardized test scores. On the Graduate Record Examination (GRE), for example, students intending to study philosophy in graduate school have scored higher than students in all but four other majors.

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