fishyfishy
fishyfishy
03-03-2015
Mathematics
contestada
Steps on how to solve 50=40e^0.027x
Respuesta :
Аноним
Аноним
03-03-2015
[tex]40{ e }^{ 0.027x }=50\\ \\ \frac { 40{ e }^{ 0.027x } }{ 40 } =\frac { 50 }{ 40 } \\ \\ \\ { e }^{ 0.027x }=\frac { 5 }{ 4 }[/tex]
[tex]\\ \\ \ln { \left( \frac { 5 }{ 4 } \right) } =0.027x\\ \\ \ln { 5 } -\ln { 4 } =\frac { 27 }{ 1000 } x[/tex]
[tex]\\ \\ \ln { 5 } -\ln { \left( { 2 }^{ 2 } \right) } =\frac { 27 }{ 1000 } x[/tex]
[tex]\\ \\ \ln { 5 } -2\ln { 2 } =\frac { 27 }{ 1000 } x\\ \\ \frac { 1000 }{ 27 } \left( \ln { 5-2\ln { 2 } } \right) =\frac { 27 }{ 1000 } x\cdot \frac { 1000 }{ 27 }[/tex]
[tex]\\ \\ x=\frac { 1000 }{ 27 } \left( \ln { 5 } -2\ln { 2 } \right) [/tex]
Answer Link
VER TODAS LAS RESPUESTAS ( 47+ )
Otras preguntas
What was the variable in his experiment? a. Covering both jars. b. Covering one jar and leaving the other uncovered. c. Leaving both jars uncovered. d. There wa
responds to tissue damage pain
Please help me I’m struggling awnser a fraction in simplest form
The constants a, b, and c are positive. Solve the inequality for x. ax-b is less than c
What does the principle of faunaSelect from the drop-down menus to correctly complete each statement. −7<−4 −4<−1 −4 is located to the Choose... of −7 o
1 point 17. A triangle has vertices at A (-3,-1), B (-6, -5), C(-1,-4). Which transformations would produce an image with vertices A' (3,-1), B' (6,-5), C' (1,
Arrange the steps of photosynthesis Reorder answers 1.Chlorophyll absorbs light. Reorder answers 2.Water split to start electron transport chain Reorder answers
k (x) = 6x + 100 k(-5) = ?
In a factor market, firms deliver payments in all of the following forms EXCEPT: A. rent B. profit C. loans D. wages Please select the best answer from the choi
Marcus and Alex have been going out for a long time and have decided to remain abstinent. They have never had sex, but lately there have been several occasions
