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Eddi Din [679]
2 years ago
10

Andi berenang 6 hari sekali, Dodi setiap 5 hari sekali, sedangkan Riki setiap 3 hari sekali. Pada tanggal 1 Juli 2017 mereka ber

enang bersama-sama. Mereka akan berenang bersama-sama lagi pada tanggal ….
Mathematics
1 answer:
ZanzabumX [31]2 years ago
6 0

Menjawab:

31 Juli 2017

Penjelasan langkah demi langkah:

Dapatkan kelipatan umum terendah dari tiga hari berenang:

Kelipatan dari:

6 = 6, 12, 18, 24, 30, 36, 42, 48

5 = 5, 10, 15, 20, 25, 30, 35, 40, 35

3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42

Kelipatan persekutuan terendah adalah 30

Hari angsa bersama = 1 Juli 2017

Tanggal sarang di mana ketiganya akan berenang bersama adalah setelah 30 hari:

1 Juli 2017 + 30 hari = 31 Juli 2017

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<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

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So, after one month total number of laptops in the store,

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Again after one month total number of laptops in the store,

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\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


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