Answer:
![\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cln%5Csqrt%5B3%5D%7Be%5E4%7D%3D%5Cdfrac%7B4%7D%7B3%7D%7D)
Step-by-step explanation:
![\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5C%5Csqrt%5Bn%5D%7Ba%5Em%7D%3Da%5E%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cln%20a%5En%3Dn%5Cln%20a%5C%5C%5C%5C%5Cln%20e%3D1%5C%5C-----------%5C%5C%5C%5C%5Cln%5Csqrt%5B3%5D%7Be%5E4%7D%3D%5Cln%20e%5E%5Cfrac%7B4%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7B3%7D%5Cln%20e%3D%5Cdfrac%7B4%7D%7B3%7D%5Ccdot1%3D%5Cdfrac%7B4%7D%7B3%7D)
42 - 12x = 6
Solve for 6
12x = 36
x = 3
Step-by-step explanation:
Cost to make the film : $6500
Cost to set up production: $1500
Additional cost to make each video : $4
Additional cost to make n videos : $4n
total cost to make n videos = $6500 + $1500 + $4n = (8000 + 4n) dollars
overall cost to make each video
= total cost to make n videos ÷ n videos
= (8000 + 4n) / n
by definition, in order to "break even", the selling price for each video must be equal to the cost to make each video. i.e
Price, P(n) = (8000 + 4n) / n
Hence,
P(500) = [8000 + 4 (500)] / 500 = (8000 + 2000) / 500 = $20
This means that in order to break even selling 500 DVD's he has to sell each one for $20
Answer:
For number 7 I think it is B
For number 8 it will be positive 3 (on the right) and -3 (on the left).
Step-by-step explanation:
Hope this helps :)
Have a Great Day!
Answer:
Step-by-step explanation:
Area of one triangular face = 0.5(base)(height) = 20 sq cm
Surface area = 4(20) = 80 sq cm
