💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade free for 30 days
Like
Report
The cost-benefit equation$$T=-0.642-189 \ln (1-p)$$describes the approximate tax $T,$ in dollars per ton, that would result in a $p \%$ (in decimal form) reduction in carbon dioxide emissions.(a) What tax will reduce emissions $25 \% ?$(b) Explain why the equation is not valid for $p=0$ or $p=1$
(a) $\$ 54$ per ton(b) If $p=0,$ then $\ln (1-p)=\ln 1=0,$ so $T$ would be negative. If $p=1,$ then $\ln (1-p)=\ln 0,$ but the domain of $\ln x$ is $(0, \infty)$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 5
Common and Natural Logarithms
Functions
Exponential and Logarithmic Functions
Missouri State University
Oregon State University
Harvey Mudd College
Lectures
01:32
In mathematics, the absolu…
01:11
01:20
Emissions Governments coul…
03:35
The cost-benefit equation …
03:30
For a certain coal-burning…
03:18
Taxes. The function$$<…
02:15
The function$$T(a)=837…
07:43
Cost-Benefit Model Suppose…
02:35
The profit $ P $ (in milli…
01:57
To model the effects of a …
04:05
Let $G$ be annual US gover…
05:16
Suppose that a government …
Okay. So for part, they were given that P is equal to 25. So we went to reduce our emission by 25%. So it's programmed into our equation. That's tea is equal to negative. 0.6 42 minus 189 and in the natural log of one minus 25. Okay, so, um, it's plug this in. You want 25%. So p is actually a point to apply. Since it this is in percentage. Okay, so let's put that into our John put it. Okay, so this is equal to a 54.3077 Okay, I now for part B, we went to or were asked, Why can't we solve the phone equation? If P is equal to they're all or P is equal to one. So we we need to specifically look at this portion. So if you have the natural log of one minus girl, that's equal to the natural log of one. Would you throw? Well, if we're talking about a P value being zero, this would mean that we want Teoh reduced the commission rate by There are presents, and this it would mean by 100%. And in these two cases, that's sort of impossible
View More Answers From This Book
Find Another Textbook
Numerade Educator
In mathematics, the absolute value or modulus |x| of a real number x is its …
Emissions Governments could reduce carbon emissions by placing a tax on foss…
The cost-benefit equation $\frac{18 x}{100-x}=D$ relates the cost $D$ (in th…
For a certain coal-burning power plant, the cost to remove pollutants from p…
Taxes. The function$$T(a)=837.50+0.15(a-8,375)$$(where $a$ i…
The function$$T(a)=837.50+0.15(a-8,375)$$(where $a$ is adjusted gros…
Cost-Benefit Model Suppose a cost-benefit model is given by$y=\frac{5.1 …
The profit $ P $ (in millions of dollars) for a recreational vehicle retaile…
To model the effects of a carbon tax on $\mathrm{CO}_{2}$ emissions, policy …
Let $G$ be annual US government purchases, $T$ be annual US tax revenues, an…
Suppose that a government wants to reduce its economy's dependence on c…
01:03
Complete the solution.A student multiplied both sides of $\frac{3}{4} t+…
00:23
Evaluate each expression.$$-4(6+5)$$
00:35
Suppose that water from a wetland area is sampled and found to have the give…
00:19
Divide. See Example 5.$$-30 \div(-3)$$
00:22
Use the given property to complete each statement.$x+x^{2}=$ ____ Commut…
00:30
00:55
Simplify each expression.$$\frac{9}{7} \cdot \frac{7}{9} k$$
00:46
Perform the operations and, if possible, simplify. $$\frac{3}{4} \cd…
10:14
Perform the operations and, if possible, simplify. a. $4 \frac{1}{8}+1 …
00:17
Simplify each expression.$$3 \cdot 4 t$$
Create an account to get free access
Join Numerade as a
Already have an account? Log in
