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
Varvara68 [4.7K]
1 year ago
10

Question B,C and D I need answers to these parts.

Mathematics
1 answer:
Alik [6]1 year ago
5 0
Explanation<h2>Part b</h2>

So in part (b) we must give the annual growth factor. For any quantity that increases annualy, this factor is the number by which the quantity multiplies itself every year. For a given quantity that increases at a rate of p% its growth factor is given by:

1+\frac{p}{100}

In this case the production of ethanol increases at a rate of 5.5% per year which means that the growth factor is:

1+\frac{5.5}{100}=1.055

Then the growth factor and answer to part (b) is 1.055.

In part (c) we must write an equation that models the increase in the ethanol production. Given an initial qunatity Q and an annual growth factor k the quantity after x years is given by multiplying the initial quantity by the growth factor raised to the x. Then we get:

C(x)=Q\cdot k^x

In this case we need a function for the amount of ethanol produced E, x years after 1990. The 0.9 billion gallons produced that year compose our initial quantity and knowing that the annual growth factor is 1.055 we have the desire equation:

E(x)=0.9\cdot1.055^x

And that's the answer to part (c).

In part (d) we have to compare the actual production of ethanol in 2008 to the one predicted by the equation of part (c). Remember that x represents the years passed after 1990 so for the year 2008 the value of x is given by:

x=2008-1990=18

So the number we are looking for is E(18):

E(18)=0.9\cdot1.055^{18}=2.359

So the production estimated for 2008 is 2.359 billions of gallons. Then the actual production of 9 billion gallons is higher than the one predicted by our equation.

You might be interested in
The volume of 400 mL of chlorine gas at 400 mm Hg is decreased to 200 mL at constant temperature. What is the new gas pressure?
rusak2 [61]

A. Let us first assume that the gas acts like an ideal gas so that we can use the ideal gas equation:

PV = nRT

where P is pressure, V is volume, n is number of moles, R is universal gas constant and T is absolute temperature

In this case, let us assume that nRT = constant so that:

P1V1 = P2V2

400 mm Hg * 400 mL = P2 * 200 mL

P2 = 800 mm Hg

 

<span>B. The collision of gas with the walls of the container produces Pressure.</span>

6 0
3 years ago
Read 2 more answers
A particle shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint on the double number line circle the v
Marat540 [252]

Answer:

Given,

2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,

So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3

Make two number lines,

First one represents the multiple of 2 and second one represents the multiples of 3,

By the double number line ( shown below ),

It is clear that,

For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.

7 0
3 years ago
Select all the equations where y=10y=10y, equal, 10 is a solution.
vekshin1

Answer:

e. po sna makatulong pa heart nalang po salamat

4 0
2 years ago
If x is an even integer and y is an odd integer than x + y is a rational number. A) Always True B) Sometimes True C) Usually Tru
Katyanochek1 [597]
A) Always TRue
Both integers are rational, so the sum must be rational
7 0
3 years ago
A ramp rises 2.9 ft vertically and extends 58 At horizontally. Find the slope of the ramp.​
Ymorist [56]

Answer:

0.05

Step-by-step explanation:

The formula for slope is rise/run.

So, in this case it would be 2.9ft/58ft = 0.05

8 0
3 years ago
Read 2 more answers
Other questions:
  • The cable is being used to lift a 2lb leaky bucket that is initially filled with 30 lb of water. When the bucket reaches the top
    12·1 answer
  • Which expression is equivalent to 6-(-8)
    9·2 answers
  • Please i am dying this is A REALLY HARD QUESTION!<br><br><br><br><br><br><br> 1+4=??!?!?!??
    8·2 answers
  • A speedboat traveling at a constant speed arrives at its destination in 35 minutes. If it travels 70 miles, then what was the sp
    13·1 answer
  • Anwser themm!!!!!! HELP ASAP MATH
    11·1 answer
  • What is the measure of x?
    12·2 answers
  • A total of 348 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t
    8·2 answers
  • After two years, how much has been paid into interest?
    8·1 answer
  • Could some give the answers AND a good explanation
    8·1 answer
  • Which expression is equal to the equation?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!