Question

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

Answer 1

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:

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