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vazorg [7]
2 years ago
14

Can someone please help me am stuck on this, thanks.

Mathematics
1 answer:
weqwewe [10]2 years ago
5 0

Answer:

First box: -5, 0, 6, 9

Second box: 10, 12.5

Step-by-step explanation:

4x-12≤24

4x≤24+12

4x≤36

x≤36÷4

x≤9

So the first box would have all the solutions less than or equal to 9:

-5, 0, 6, 9

And the second box would have the solutions greater than 9:

10, 12.5

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Answer:

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2 years ago
Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
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Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

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Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

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