3 years ago

In six months the membership at a fitness center went from 3,500 to 4,200. what was the percent of increase in the membership?

1 answer:

6 0

It is definitely C: 20%

Subtract the original value from the new value, then divide the result by the original value then multiply the result by 100 and it will give you the answer

$\frac{4200 - 3500}{3500} \times 100$
$\frac{700}{3500} \times 100$
$0.2 \times 100 = 20\%$

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By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i < ji

Dafna11 [192]

Answer:

There are a total of ${ 6 \choose 3} = 20$ functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

${6 \choose 3} = \frac{6!}{3!(6-3)!} = \frac{720}{6*6} = \frac{720}{36} = 20$

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$2.5 \times 10^{-5}$

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