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
Allushta [10]
2 years ago
9

The average monthly rent for a? 1000-sq-ft apartment in a major metropolitan area from 1998 through 2005 can be approximated by

the function below where t is the time in years since the beginning of 1998. Find the value of t when rents were increasing most rapidly. Approximately when did this? occur?f(t)= 1.6714t^4 - 22.45t^3 + 62.27t^2 + 6.108t + 1029The rents were increasing most rapidly when t = ?

Mathematics
1 answer:
Lunna [17]2 years ago
8 0

Answer:

  t = 1.107

Step-by-step explanation:

Finding the solution using derivatives involves finding the lower zero of the quadratic that is the second derivative of the given function. That second derivative will be ...

  f''(t) = 12(1.6714)t^2 -6(22.45)t +2(62.27)

  = 20.0568t^2 -134.7t +124.54

  = 20.0568(t -3.35796)² -101.619 . . . . rewrite to vertex form

Then f''(t) = 0 when ...

  t ≈ 3.35796 -√(101.619/20.0568) ≈ 1.10706

__

The solution is perhaps more easily found using a graphing calculator to find the peak of the first derivative. (See attached.) It tells us ...

  t ≈ 1.107

1.1 years after the beginning of 1998 is about 1.2 months into 1999.

Rents were increasing most rapidly in early February of 1999.

You might be interested in
Someone help please!
DiKsa [7]
LN is 180 degrees

180  - 41 = x

x  = 139 degrees

hope this helps
5 0
2 years ago
Read 2 more answers
1 and 1 4th as a decimal
Neporo4naja [7]
1 + 0.25 will equal 1.25
7 0
3 years ago
A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their o
bezimeni [28]

Answer:

10779

i think some error in this question

6 0
2 years ago
If i won 10 games out of 16, how many games would i need to paly to win 50
MrRa [10]
Ratio is 10:16, so to win 50, its 50:190, so you need to play 190 games to win 50
7 0
3 years ago
Read 2 more answers
Right answer gets brainlist
Sedbober [7]

Step-by-step explanation:

Different Types of Indexes in SQL Server

  • Clustered Index

  • Non-Clustered Index

  • Column Store Index

  • Filtered Index

  • Hash Index

  • Unique Index
3 0
2 years ago
Other questions:
  • Radical and exponents
    11·1 answer
  • Jackson can lay 6000ft of tile in 3 hours.
    5·2 answers
  • What is the value of x in the equation 40(x - 3) = 24x - 48?
    5·1 answer
  • Convert the improper fraction to a mixed number.<br> 17<br> 3
    11·2 answers
  • I need help so bad I’m on the test right now I will mark Brainliest
    10·2 answers
  • What is the SURFACE AREA of the pyramid?
    5·1 answer
  • Lacey stopped at Littletown market to buy 20 cookies for her book club. Littletown Market sells 6 cookies for $3. On her way hom
    14·1 answer
  • 1) Mr. Isaac invested $7200 at 8% simple interest per annum.
    12·1 answer
  • Which shows the expression below simplified?
    5·1 answer
  • 10. Mrs. Smith paid $125 to have her hair
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!