## Question

###### The total accumulated costs C(t) and revenues R(t) in thousands of dollars, respectively; for a coal mine satisfy:C'(t)=_t7andR' (t) = St? e-t"where is the number of years that the mine has been in operation:Find the useful life of the mine; to the nearest year:What is the total profit accumulated during the useful life of the mine? Round answer to the nearest dollar:

The total accumulated costs C(t) and revenues R(t) in thousands of dollars, respectively; for a coal mine satisfy: C'(t)=_t7 and R' (t) = St? e-t" where is the number of years that the mine has been in operation: Find the useful life of the mine; to the nearest year: What is the total profit accumulated during the useful life of the mine? Round answer to the nearest dollar:

## Answers

#### Similar Solved Questions

5 answers

##### Find the area between the two curves in the following figure:T = 2a+Usin 20Br=2a+dcos 20For a = 1Answer

Find the area between the two curves in the following figure: T = 2a+Usin 20 B r=2a+dcos 20 For a = 1 Answer...

4 answers

##### (10 marks) Give an â‚¬ ~$ proofgIVen find & such that lim~4+2 Eap+2

(10 marks) Give an â‚¬ ~$ proof gIVen find & such that lim~ 4+2 Eap+2...

5 answers

##### 31. A wire of length 50 cm is t0 be cut into two pieces_ One of the pieces is t0 be bent into the form of a circle and the other into the form of a square. How should the wire be cut SO that the sum of the enclosed areas is a minimum?

31. A wire of length 50 cm is t0 be cut into two pieces_ One of the pieces is t0 be bent into the form of a circle and the other into the form of a square. How should the wire be cut SO that the sum of the enclosed areas is a minimum?...

2 answers

##### Problem 3. The joint probability mass function of X and Y is given by 1 p(1,1) = p(1,2) = 4 p(2,1) = p(2,2) = 8 8 2 Compute the conditional mass function of Y given X = i, i = 1,2. Are X and Y independent? Compute P(XY < 5/2) , P(X + Y 2 7/3) and P(X/Y > 3/2).

Problem 3. The joint probability mass function of X and Y is given by 1 p(1,1) = p(1,2) = 4 p(2,1) = p(2,2) = 8 8 2 Compute the conditional mass function of Y given X = i, i = 1,2. Are X and Y independent? Compute P(XY < 5/2) , P(X + Y 2 7/3) and P(X/Y > 3/2)....

5 answers

##### Mnn nivnnitconismcentupresmiTogngiallutId H*BauMH 113-62 PreCalculus Algebra Fall One 2019Alashiah Myles10/9/1Homework: Homework 3. Score: 0,2 of 17 of 17 (11 complete) RC 83-86HW Score: 39.83%0,QuestiorAns;id odlumsIhrough 8603) Graph ((x) = R gqudvionUse Ihe graphing tool graph IheCick to enlarge graphSeleciad:nonDe ule ClearCllck the graph; choceepalele and (ollawIn InstruclionsCCane your graph;palg reralningCleam{cucekangwerecenctoStaichqll 95 adoy} Sunbelt rentals United rentats ASed Scicc

Mnn nivnnit conismcentupresmi Togngia llutId H*Bau MH 113-62 PreCalculus Algebra Fall One 2019 Alashiah Myles 10/9/1 Homework: Homework 3. Score: 0,2 of 17 of 17 (11 complete) RC 83-86 HW Score: 39.83%0, Questior Ans;id odlums Ihrough 86 03) Graph ((x) = R gqudvion Use Ihe graphing tool graph Ihe Ci...

5 answers

##### You have 240 feet of fence with which to enclose a rectangular plot of land adjacent to a building: You willneed no fencing along the building: Find the dimensions of your plot that will produce a maximum area. (You must use calculus methods, and SHOW ALL WORK) (12)The radius of sphere is measured to be 45 cm with maximum possible error of +0.1 cm_ Use the differential t0 estimate the maximum possible error in calculating the surface area of the sphere_ Give buth an actual error and percent err

You have 240 feet of fence with which to enclose a rectangular plot of land adjacent to a building: You willneed no fencing along the building: Find the dimensions of your plot that will produce a maximum area. (You must use calculus methods, and SHOW ALL WORK) (12) The radius of sphere is measured...

5 answers

##### 4) Given the equations:a) log 5 4 (x) ~Jogsl (x-2) =3b) logsl (x) - log 5 (x-2) = log 5 (3)4a) Can you solve each of these equations using the same method? Explain your answer4b_ Solve each of the equations. Show your work

4) Given the equations: a) log 5 4 (x) ~Jogsl (x-2) =3 b) logsl (x) - log 5 (x-2) = log 5 (3) 4a) Can you solve each of these equations using the same method? Explain your answer 4b_ Solve each of the equations. Show your work...

5 answers

##### (20) Find the y-coordinate of the center of mass of a lamina bounded by y = 20, y = 0 and I = 3 and having density & (1,y) = y.

(20) Find the y-coordinate of the center of mass of a lamina bounded by y = 20, y = 0 and I = 3 and having density & (1,y) = y....

5 answers

##### Golldon tnud?adco 0. {4oiInlacHGr Tneextoliodin Cuvcrornphojol

Golldon tnud? adco 0. {4oi InlacHGr Tneextoliodin Cuvcrornphojol...

1 answers

##### Two thermal reservoirs are connected by a solid copper bar. The bar is $2.00 \mathrm{~m}$ long, and the temperatures of the reservoirs are $80.0^{\circ} \mathrm{C}$ and $20.0^{\circ} \mathrm{C}$ a) Suppose the bar has a constant rectangular cross section, $10.0 \mathrm{~cm}$ on a side. What is the rate of heat flow through the bar? b) Suppose the bar has a rectangular cross section that gradually widens from the colder reservoir to the warmer reservoir. The area $A$ is determined by $A=\left(0.0

Two thermal reservoirs are connected by a solid copper bar. The bar is $2.00 \mathrm{~m}$ long, and the temperatures of the reservoirs are $80.0^{\circ} \mathrm{C}$ and $20.0^{\circ} \mathrm{C}$ a) Suppose the bar has a constant rectangular cross section, $10.0 \mathrm{~cm}$ on a side. What is the r...

5 answers

##### Charge of 91 =l AC is on the y axis at 2 cm; and a second charge of 92 HC is on the y axis at ~2 cm The value of the Coulomb constant is 8.99 109N m/c?, J' 2a) Find the magnitude of Eby 91 at the point P(4.2) cm; and the unit Vector T1. 1#C-[ 12 3 4 5 6 7 8 9 -2 -l/C 33 -4 f ~5 2b) Find the magnitude of Ez by 4z at the point P(4.2) cm and the unit vector +2.2c) Find the net electric field Enet by 41 and 92 at the point P(4.2) cm: Enet E, + Ez;2d) The third charge q3 ~5 HC is placed at the p

charge of 91 =l AC is on the y axis at 2 cm; and a second charge of 92 HC is on the y axis at ~2 cm The value of the Coulomb constant is 8.99 109N m/c?, J' 2a) Find the magnitude of Eby 91 at the point P(4.2) cm; and the unit Vector T1. 1#C -[ 12 3 4 5 6 7 8 9 -2 -l/C 33 -4 f ~5 2b) Find the ma...

5 answers

##### (6 pts) have factored A into LU. Use this factored form to solve for Ax = b where: (Make sure to show c and the final x)L = [33 % and U = [2 3 3/ and b12 ~48]

(6 pts) have factored A into LU. Use this factored form to solve for Ax = b where: (Make sure to show c and the final x) L = [33 % and U = [2 3 3/ and b 12 ~48]...

1 answers

##### Evaluate the limit and sketch the graph of the region whose area is represented by the limit. $$\lim _{|\Delta| \rightarrow 0} \sum_{i=1}^{n}\left(x_{i}-x_{i}^{2}\right) \Delta x, \text { where } x_{i}=\frac{i}{n} \text { and } \Delta x=\frac{1}{n}$$

Evaluate the limit and sketch the graph of the region whose area is represented by the limit. $$\lim _{|\Delta| \rightarrow 0} \sum_{i=1}^{n}\left(x_{i}-x_{i}^{2}\right) \Delta x, \text { where } x_{i}=\frac{i}{n} \text { and } \Delta x=\frac{1}{n}$$...

5 answers

##### Determine the center and radius of each circle and sketch the graph.$$x^{2}+y^{2}=16$$

Determine the center and radius of each circle and sketch the graph. $$x^{2}+y^{2}=16$$...

5 answers

##### Find the coordinates of the center of mass of the following solid with variable density:The interior of the prism formed by z=x X=_ 3,y = 4,and the coordinate planes with p(x,Y,z) = 2+y.The center of mass Is located at (Type exact answers: )

Find the coordinates of the center of mass of the following solid with variable density: The interior of the prism formed by z=x X=_ 3,y = 4,and the coordinate planes with p(x,Y,z) = 2+y. The center of mass Is located at (Type exact answers: )...

5 answers

##### KE1f +UnewfUnewi(Equation 1)For all energies, we know the followingKE = Zmv?Amim2PEgravelasticUnewwhere in we havem; mz = M; 91 qand 92 = QBy substituting all these to Equation and then simplifying results tosqrt(Take note that capital letters have different meaning than small letter variables/constants;

KE1f + Unewf Unewi (Equation 1) For all energies, we know the following KE = Zmv? Amim2 PEgrav elastic Unew where in we have m; mz = M; 91 qand 92 = Q By substituting all these to Equation and then simplifying results to sqrt( Take note that capital letters have different meaning than small letter v...

3 answers

##### Random variable X has probability density function if 1 <1<5: f(z) ={ if z < 1 or if z > 5_ pts) Determine the mean of X_ pts) Determine the variance of K pts) Suppose that random sample of n 900 observations. Xi. Xn=m: is selected from this distribution and consider the sample mean X (T1 Xn)n: Assume the Central Limit Theorem is applicable to X Find the approximate value of the probability P(X < 2.1).

random variable X has probability density function if 1 <1<5: f(z) ={ if z < 1 or if z > 5_ pts) Determine the mean of X_ pts) Determine the variance of K pts) Suppose that random sample of n 900 observations. Xi. Xn=m: is selected from this distribution and consider the sample mean X (...

5 answers

##### A reaction will always be spontaneous whena reaction is endothermic and Ea is small0 a reaction is endothermic and A S is negative0 4Sand AHare both positive.0 a reaction is exothermic and A Sis positive0 ASand AHare both negative

A reaction will always be spontaneous when a reaction is endothermic and Ea is small 0 a reaction is endothermic and A S is negative 0 4Sand AHare both positive. 0 a reaction is exothermic and A Sis positive 0 ASand AHare both negative...

5 answers

##### Question Forthe (ollowlng left-endpoint Rremann 5um, given L a5 indicated, express the limit as n 0) J5 a definite Ideritifying the correct intervals integralL-"2(2+s_y)Provide your unswier belowFEEDBACKMore instructioNSuOMIT

Question Forthe (ollowlng left-endpoint Rremann 5um, given L a5 indicated, express the limit as n 0) J5 a definite Ideritifying the correct intervals integral L-"2(2+s_y) Provide your unswier below FEEDBACK More instructioN SuOMIT...