Please help me with this question??m

Mathematics

1 answer:

Keith_Richards [23]3 years ago

7 0

Answer:

Step-by-step explanation:

f(1) = 7

f(n) = 3f(n-1) + 3

So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.

So let's try f(2)

That means that f(2) = 3*f(n-1) + 3

but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.

so f(2) = 3*f(1)+3

f(2) = 3*7 + 3

f(2) = 21 + 3

f(2) = 24

Now do it again. We now know F(2), so we should be able to find f(3)

f(3) = 3*f(3 - 1) + 3

f(3) = 3*f(2) + 3 We know that f(2) = 24

f(3) = 3* 24 + 3

f(3) = 72 + 3

f(3) = 75

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Please answer both questions and show all your work. I am in a hurry... please...

nikklg [1K]

Answer: 1) 9 days

2) a)37.5%

b)50%

c) 33.33%

Step-by-step explanation:

1) - Let's call:

x: number of days the company supposed to finish the order.

- You know that the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. Therefore, you can express this as following:

$40x=(40+20)(x-3)\\40x=60(x-3)$

- Solve for $x$ :

$40x=60x-180\\-20x=-180\\x=9$

(The answer is 9 days)

2) a) The percent that belongs to three people if eight eight people share equally in an inheritance, can be calculated as following:

$\frac{3}{8}*100=37.5$ %

b) The percent that belongs to three people if six people share equally in an inheritance (because two of the people are disinherited) can be calculated as following:

$\frac{3}{6}*100=50$ %