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
damaskus [11]
3 years ago
7

World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of

approximately 16.8% per year. Assume this rate continues. (Generating capacity is the maximum amount of power generated per unit time.) (a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts (b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

a) W(t) = 371(1.168)^{t}

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

You might be interested in
The answer to the question to my test
wel

Answer:

Option C, 262 cm^3

Step-by-step explanation:

<u>Step 1:  Substitute 5 for radius and 10 for height</u>

V = 1/3 * pi * r^2 * h

V = 1/3 * pi * (5)^2 * (10)

V = 1/3 * pi * 25 * 10

V = 250pi/3

V = 261.79

Answer:  Option C, 262 cm^3

7 0
3 years ago
BRAINLEST PLUS 10 PTS <br> Solve for x pls
Anna11 [10]

Answer:

x=39

Step-by-step explanation:

3 0
3 years ago
56 is decreased to 11
nexus9112 [7]

Answer:

56 decreases to 11 because 45 was subtracted from it.

56-45=11


4 0
3 years ago
Read 2 more answers
The width of a rectangle is 4 1/6 feet, and its area is 35 square feet. What is the perimeter of this rectangle?
DanielleElmas [232]

Answer:

perimeter = 25.13feets

Step-by-step explanation:

width = 25/6 feet

Area = 35 square feet

lenght = Area/width = (35*6)/25 = 8.4feets

perimeter of the rectangle = 2(25/6 + 8.4) = 25.13 feets

5 0
3 years ago
Which statement is true about the dependent and independent variables?
Hatshy [7]

Answer:

1. The independent variable goes on the x-axis and the dependent variable goes on the y-axis.

7 0
3 years ago
Other questions:
  • A Student writes "the sum of 7 times a number n plus 5"to describe the expression 7(n+5) explain the error
    15·1 answer
  • PLZ HELP ME- The measure of b is __. a0
    6·2 answers
  • Out of 40 coins, 16 are dimes. Half of the remaining coins are quarters and the rest are pennies and nickels. There are 2 nickel
    9·1 answer
  • HELP PLSS ANYONE? I'VE TO SUBMIT ASAP
    12·1 answer
  • A dog groomer could clean four dogs in an hour how many could they clean in 5/6 of an hour
    15·1 answer
  • 34 divided by 2,380.
    14·2 answers
  • What is 15.25×45.75=
    9·2 answers
  • Deja had two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries
    5·1 answer
  • Which expression represents the area of the parallelogram below?
    9·1 answer
  • Guthrie made the input-output table shown below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!