1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vichka [17]
3 years ago
7

A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of da

ys after an advertising campaign ends and 0 ≤ t ≤ 30. (a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7). $ (b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14). $ g
Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation S'(t)= -30t^{2} + 420t. The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\  S(t)= -10t^{3} +210t^{2} \\

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

Given\ S(t) = -10t^{3} + 210t^{2}

S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

You might be interested in
Colin buys a car for £27900 he
gogolik [260]
£27900*0.97^2=£26251.11

4 0
3 years ago
Help help help help help
storchak [24]
Answer is

x > 5

Tell me if it helps
8 0
3 years ago
Jonathan's age is 1/3 Belinda's age now in 12 years Belinda will be m years old write an algebraic expression to represent Brend
vodomira [7]

Answer:

Kindly check explanation

5 years from now, Johnathan will be (5 + 4) = 9 years

Step-by-step explanation:

Let Belinda's age = x

Jonathan's age =1/3 x

In 12 years, Belinda will be m years old :

Belinda's age now = x

Jonathan's age 5 years from now, if m = 36

Belinda's age in 12 years, Belinda's age = m

x + 12 = 36

x = 36 - 12

x = 24 years

Hence Belinda's age now is 24

Jonathan's age now is (1/3) * 12 = 4 years

Hence, 5 years from now, Johnathan will be (5 + 4) = 9 years

5 0
3 years ago
Solve for X please: -ax+4b>9
Ulleksa [173]
So what you do is subtract 4b on both sides so it will be -ax=9+4b then divide x on both sides and you have your answer 

4 0
3 years ago
Read 2 more answers
SYSTEMS OF LINEAR EQUATIONS - Tell whether the ordered pair is a soulution if the given system: (2,-4); {y - 2x = -8, 4y + 13x =
Leviafan [203]
No, it is not. Because it doesn't satisfy the first equation.
6 0
3 years ago
Other questions:
  • -6/5 - 2/3v+ 4/15 + 1/3v. this is also combining like terms with rational numbers. i have 2 more after this lol
    11·2 answers
  • I need help on this quickly. No work is needed.
    9·1 answer
  • How do I state if the polygons is similar?
    13·1 answer
  • Which tool(s) are needed to construct a perpendicular bisector of a line segment?
    9·2 answers
  • Please help me ASAP I’m kinda irritated I can’t find the answer
    11·1 answer
  • A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
    9·1 answer
  • 8x+2>34 Y’all know how to do this?
    11·1 answer
  • Bob's farm harvests corns worth 109 dollars (and nothing else). In each year, there is a 24% chance that a storm will attack and
    7·1 answer
  • Marissa substracted a negative number from a positive number. Her result was negative. Is that reasonable? Explain.
    6·1 answer
  • Please help. No link answers. Will mark brainliest.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!