Marcus is choosing 4 books to read from a list of 15 books. If order matters, how many ways can he choose to read the books? 4

32,760

23,760

60

32,760

Step-by-step explanation:

Given :

Since the order matters, we use the permutation relation :

Recall :

nPr = n! ÷ (n - r)!

n = 15 ; r = 4

15P4 = 15! ÷ (15 - 4)!

15P4 = 15! ÷ 11!

15P4 = (15 * 14 * 13 * 12)

15P4 = 32,760

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get