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vlabodo [156]
3 years ago
10

On the day that a certain celebrity proposes marriage, 101010 people know about it. Each day afterward, the number of people who

know triples. Write a function that gives the total number n(t)n(t)n, left parenthesis, t, right parenthesis of people who know about the celebrity proposing ttt days after the celebrity proposes.
Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

n(t) = 101010(3^t)

Step-by-step explanation:

The initial number of people who knew about it is;

n(0) = 101010

The number of people who will have known in a day's time;

n(1) = 101010(3)

The number of people who will have known in 2 day's time;

n(2) = 101010(3)(3) = 101010(3^2)

The number of people who will have known in 3 day's time;

n(3) = 101010(3)(3)(3) = 101010(3^3)

Therefore, the total number n(t) of people who know about the celebrity proposing t days after the celebrity proposes becomes;

n(t) = 101010(3^t)

vovangra [49]3 years ago
6 0

On the day that a certain celebrity proposes marriage, 10 people know about it. Each day afterward, the number of people who know triples. The function n(t) can be denoted in two ways.

Condition 1: If the day of the proposal is being t=1

The function is :  n(t)=10(3^{t-1} )

Condition 2: Considering the next day as  the first day after the proposal then  the initial day was day zero and the function is:

n(t)=10(3^{t} )

Checking:  when  t = 1, n(t) = 10; when t = 2, n(t) = 30; when t = 3, n(t) = 90  and so on.

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