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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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A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population
Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0
3 years ago
The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
Point W has coordinates (4, -7). If it is reflected over the y -axis, what are the coordinates of its image?
Korolek [52]

Answer:

I thank it is D

Step-by-step explanation:

4 0
2 years ago
Um prêmio está avaliado em 75% de R$ 50.000,00. Qual valor será dado ao premiado?
fredd [130]

Answer:

I don't know the answer to this question

7 0
3 years ago
Please help guys I need it
Inessa05 [86]

Answer:

a= 20

b= 169.7

c= 29.71

Step-by-step explanation:

The formula of a triangle is (h*b)/2

a= (5*8)/2

b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2

c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2

4 0
3 years ago
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