Answer: [tex]N=10(1.4)^3[/tex]
or [tex]N=27[/tex]
Step-by-step explanation:
Given: The initial number of friends got mail = 10
Then, The number of people who got the email increases by a factor of 1.4 every week.
It implies there is an exponential increase in the number of people with multiplicative rate of 1.4 every week.
Then the number of people who got the email after x weeks is given by:-
[tex]N=10(1.4)^x[/tex], where x is the number of weeks.
Now, the number of people who got the email after 3 weeks is given by:-
[tex]N=10(1.4)^3=10\cdot(2.744)=27.44\approx27[/tex]
The number of people who got the email after three weeks will be 27. The number of people is increasing exponentially.
The curve of an exponential function is formed by a pattern of data that exhibits larger rises with the passage of time.
The relation of the number of people who got the email after three weeks is found as;
N is the increment
n is the time period = 3 week
x is the initial value = 10
y is the number or the factor by which the increment is done every week = 1.4
Hence the relationship is found as;
[tex]\rm N= x (y)^n \\\\ N = 10(14)^3 \\\\ N=27.44 \\\\ N=27[/tex]
Hence the number of people who got the email after three weeks will be 27.
To learn more about the exponential increment refer to the link;
https://brainly.com/question/2497559
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