![AndyCrasher](/avatars/32513.jpg)
AndyCrasher
06.05.2020 •
Mathematics
1A research firm finds that the average number of customers that are in Somerset Mall on a
Saturday varies sinusoidally with time. The mall is open from 9:00 am to 9:00 pm; the minimum
number of customers is at 9:00 am and 9:00 pm when there are zero customers. The maximum
number of customers is at 3:00 pm when there are 875 customers in the mall,
Solved
Show answers
More tips
- L Leisure and Entertainment What to Bring on a Hike? Essential Items to Pack for a Safe and Enjoyable Adventure...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- S Sport Playing Bowling: Rules and Advice for Novices...
- C Computers and Internet How to Properly Repartition a Hard Drive?...
- A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
Answers on questions: Mathematics
- M Mathematics Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?...
- M Mathematics Question Scientific notation is commonly used in science, technology, engineering, and math, which are known as STEM fields. Assume there are approximately 2.6 million engineers in...
- M Mathematics The variable q represents a positive integer. Does 3(5q + 9) + 5q represent a number that is greater than, less than, or equal to 4(5q + 6)? Show your work! (You can either type your...
- M Mathematics Find the equation of the line that is perpendicular to y = -x - 3 and contains the point (1,2). y = [? ]x+...
- M Mathematics In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days ...
- M Mathematics WILL GIVE BRAINLIEST- pls solve all of these or at least four according to instructions and tell me exactly how to do work in easiest way possible thanksss and don’t give me a link...
- M Mathematics 1+1 ( ignore this anyways put your discord name and number so I can make a gc:)...
- M Mathematics 24% of what is 25? Round to the nearest tenth....
- M Mathematics Given that y2 is directly proportional to the cube of x and y is always positive. Find the value of. when x = 3 if y = 18 when x =4 A) 27 B) 11.67 C) 29...
- M Mathematics The water tank in your school holds 20 liters of water. One day it was 34 full. That day, 14 liters of tank capacity was used up. How many liters of water remained in the tank at the...
Ответ:
C(t) = -475.5*cos(t*pi/6) + 475.5
Step-by-step explanation:
We know that we have a sinusoidal relation, with a minimum at 9:00 am and at 9:00 pm.
If we define the 9:00 am as our t = 0, we have that the maximum, at 3:00pm, is at t = 6 hours.
and the other minimum, at 9:00pm, is at t = 12 hours.
Then we need to find a trigonometric function that has the minimum at t = 0, we can do this as:
-Cos(c*t)
when t = 0
-cos(0) = - 1
then we have a function:
C(t) = -A*cos(c*t) + B
where A, c and B are constants.
We know that at t = 0 we have 0 customers, and that at t = 6h we have 875 customers, that is the maximum.
then:
C(0) = 0 = -A + B
this means that A = B, then our function is:
C(0) = -A*cos(c*t) + A.
now, at t = 6h we have a maximum, this means that -A*cos(c*6h) = A
then:
C(6h) = A + A = 875
2A = 875
A = 875/2 = 437.5
and we also have that, if -cos(c*6) = 1
then cos(c*6) = -1
and we know that cos(pi) = -1
then c*6 = pi
c = pi/6
Then our function is
C(t) = -475.5*cos(t*pi/6) + 475.5
Ответ:
No, this is not the best deal.
The unit price at Store D is higher than the unit price at Store B.
The most loaves is not always the best deal.
Darryl should purchase bread from Store B.
Step-by-step explanation: