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jek_recluse [69]

2 years ago

9

The value of a truck after t years is represented by the function f(t)=22,200(0.92)t .

1 answer:

n200080 [17]2 years ago

6 0

<u>ANSWER:</u>
<span>The initial value of the truck is $22,200
</span>
<u>EXPLANATION:</u>
For the given function
<span>
f(t) = 22,200(0.92)^t

We know that at t = 0, we have

</span> f(0) = 22,200(0.92)^0 = 22,200
<span>
which is the value of the truck initially. So, the correct answer is

</span>The initial value of the truck is $22,200

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Answer:

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

Step-by-step explanation:

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

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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