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oksano4ka [1.4K]
3 years ago
5

n^2-2n-3 where n is the number of key rings in thousands, find the number of key rings sold when the profits is $5,000

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

For the profit of $5,000, the key chains made is n = 4,000.

Step-by-step explanation:

Here the given expression , where: n = Number of key rings in thousands is given as:

P(n)  =   n²- 2 n - 3

Now, Profit is given to be $5,000.

Also, as we know 5000 = 5  x (1,000)

⇒  n²- 2 n - 3 = 5

Now, solving the above expression for the value of n, we get:

n^2 -  2 n - 3 = 5\\\implies  n^2  -2n - 8  =  0\\\implies  n^2  -4n +  2n - 8  =  0\\\implies n(n-4)  + 2(n-4)  = 0\\\implies (n-4) (n+2)  = 0

So, n = 4, OR , n = -2

Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.

So,  n=  4  =  4 x (1,000)  = 4,000 key rings.

Hence, for the profit of $5,000, the key chains made is n = 4,000.

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