I just had this question.... the answer is $4930 on APEX
Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:
ln (e^4x) = ln (120);
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Then continue:
4x ln e = ln 120
4x = ln 120 ; (since "ln e = 1")
then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ;
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4x / 4 = (ln 120) / 4 ;
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x = (ln 120) / 4 ;
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Using a calculator:
_________________________________________________________
x = (ln 120) / 4 = (4.78749174278) / 4 = 1.1968729357
Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________
Answer:
6y2 + 6(4y2 - 8)
6y2 + 24y2 - 48
30y2 - 48
Step-by-step explanation:
Answer: $7.50 Off
Step-by-step explanation: To find the total amount of savings for a $15 skateboard that has a 50% discount, you‘ll have to simply divide $15 by 2 because 2 represents 50% or <u>half</u> of $15. This will give you a final answer or result of $7.50 off for a $15 skateboard.
Answer:
The max. revenue is $57,121.
This happens with 239 passengers.
The price of the ticket is $239 per person.
Step-by-step explanation:
Let the variable "P" denote the number of passengers.
If P=180, then the ticket cost is $298/person. Then the price is reduced by $1 for each additional person.
In general, if P=(180+x), then the ticket cost becomes (298-x) per person.
The revenue can be defined as the ticket cost multplied by the number of passengers:
![R=P*T=(180+x)(298-x)=53,640-180x+298x-x^2\\\\R(x)=-x^2+118x+53,640](https://tex.z-dn.net/?f=R%3DP%2AT%3D%28180%2Bx%29%28298-x%29%3D53%2C640-180x%2B298x-x%5E2%5C%5C%5C%5CR%28x%29%3D-x%5E2%2B118x%2B53%2C640)
We can derive R and equal to zero to maximize the function.
![dR/dx=-2x+118=0\\\\x=118/2=59](https://tex.z-dn.net/?f=dR%2Fdx%3D-2x%2B118%3D0%5C%5C%5C%5Cx%3D118%2F2%3D59)
The amount of passengers is:
The price of the tickets is
![T=298-59=239](https://tex.z-dn.net/?f=T%3D298-59%3D239)
The revenue is: