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
Talja [164]
3 years ago
6

The gross domestic product​ (in billions of​ dollars) can be approximated by ​p(t)equals564 plus t left parenthesis 36 t supersc

ript 0.6 baseline minus 103 right parenthesis​, where t is the number of years since 1960. ​a) find upper p prime left parenthesis t right parenthesis. ​b) find upper p prime left parenthesis 45 right parenthesis. ​c) in​ words, explain what upper p prime left parenthesis 45 right parenthesis represents.
Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

We have been given gross domestic product​ (in billions of​ dollars) can be approximated by P(t)=564+t(36t^{0.6}-101).

(a) In this part, we need to compute the derivative of this function:

P'(t)=\frac{d}{dt}(564+t(36t^{0.6}-103))\\P'(t)=\frac{d}{dt}(564)+\frac{d}{dt}(t(36t^{0.6}-103))\\P'(t)=0+57.6t^{0.6}-103\\

P'(t)=57.6t^{0.6}-103

(b) In this part, we need to find the value of P'(45). So, we will substitute t=45

P'(45)=57.6(45)^{0.6}-103\\P'(45)=565.3924-103\\P'(45)=462.39 Billion dollars per year.

(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.



You might be interested in
The thickness of a block is approximately 2 centimeters. How many blocks are in a stack that is 1,000 millimeters high? ( 1 cm =
dangina [55]

Answer:

1block=2cm

1cm=10mm

therefore 1block=2×10=20

1000÷20=50

=50blocks

5 0
3 years ago
Read 2 more answers
W many large
ankoles [38]

Answer:

5

Step-by-step explanation:

40 / 7.50 = 5.3 recurring

Seeing as you can't buy 0.3 of a pizza, we just use the 5

8 0
3 years ago
Read 2 more answers
PLEASE HELP! &lt;3<br> What is the slope of the line?
GrogVix [38]

Answer:

0

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

5 0
2 years ago
A player with 5 personals fouls can not stay in the game. Dylan has already earned two personals fouls how and still stay in the
anygoal [31]

Answer:

going foward

Step-by-step explanation:

6 0
3 years ago
Is 2 a prime or composite number?
defon
2 is a prime number. hope this hepls

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system of Linear equations by elimination
    6·1 answer
  • 5^3/5^7 leaving your answer in index form
    12·1 answer
  • Please Hurry!!!
    5·1 answer
  • he Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows t
    12·1 answer
  • What is the volume of the rectangular pyramid?
    5·1 answer
  • What is the greatest to least -1, 3/2, 2.5, 0, -1/2, 2, 0.2
    8·1 answer
  • Does anyone know the answer ??
    9·2 answers
  • A 10-pound bag of wildflower seed covers 25 square feet. How many pounds of seed does it take to cover 1 square​ foot?
    12·1 answer
  • Which situation is a true statement about payment options?
    5·2 answers
  • line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!