Answer:
$34.5
$5,951.5
Step-by-step explanation:
P(x)=27+x
Quantity (x)=210-5x
Income(y)=price×quantity
=(27+x)(210-5x)
=5670-135x+210-5x^2
y= -5x^2+75x+5670
dy/dx= -10x+75=0
-10x=-75
x=-75/-10
=7.5
x=7.5
Maximum income=27+x
=27+7.5
=$34.5
Total income=(27+x)(210-5x)
=(27+7.5){210-5(7.5)}
=(34.5)(210-37.5)
=(34.5)(172.5)
=$5,951.25
Answer:
30 miles an hour
Step-by-step explanation:
Answer:
f(x) = -x -1
Step-by-step explanation:
You can make the correct choice by seeing which equation works for the first line of the table.
f(-1) = -(-1) -1 = 0 . . . . . the first equation works
f(-1) = -(-1) +1 = 2 . . . not zero
f(-1) = -1 -1 = -2 . . . not zero
f(-1) = 1 -(-1) = 2 . . . not zero (same as second equation)
The probability that less than five items will be sold from the items during the week will be 0.67.
<h3>How to calculate probability</h3>
From the complete question, the number of items that were sold in a week was given in a distribution table.
From the table, the probability that there will be less than a total of 5 items sold during that week will be:
= P(3 or 4 items sold) / P(3 or more items sold)
= (0.15 + 0.05) / (0.15 + 0.05 + 0.05 + 0.05)
= 0.20/0.30
= 0.67
In conclusion, the probability is 0.67.
Learn more about probability on:
brainly.com/question/25870256