Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,
![Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\](https://tex.z-dn.net/?f=Sum%20%3D%20%20%5Cfrac%7Ba%28%20%7Br%7D%5E%7Bn%7D%20-%201%29%20%7D%7B%28r%20-%201%29%7D%20%20%20%5C%5C%20)
So,
![\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%28%20%7Br%7D%5E%7Bn%7D%20-%201%29%7D%7B%28r%20-%201%29%7D%20%20%3D%20728%20%5C%5C%20%20%5Cfrac%7B2%28%20%7B3%7D%5E%7Bn%7D%20-%201%29%20%7D%7B%283%20-%201%29%7D%20%20%3D%20728%20%5C%5C%20%20%5Cfrac%7B2%28%20%7B3%7D%5E%7Bn%7D%20-%201%29%20%7D%7B2%7D%20%20%3D%20728%20%5C%5C%20%20%7B3%7D%5E%7Bn%7D%20%20-%201%20%3D%20728%20%5C%5C%20%7B3%7D%5E%7Bn%7D%3D728%2B1%5C%5C%20%7B3%7D%5E%7Bn%7D%20%20%3D%20729%20%5C%5C%20%20%7B3%7D%5E%7Bn%7D%20%20%3D%20%20%7B3%7D%5E%7B6%7D%20%20%5C%5C%20%5Cboxed%7B%20n%20%3D%206%7D)
Therefore, number of terms is 6
The unit rat is the cost per 1 unit
cost per 1 tomatoe
3.4/4=1.7/2=0.85/1
unit rate is $0.85 per tomatoe
Answer:
x = 57,542.8571
Step-by-step explanation:
C(x) = 0.81x + 60,420
R(x) = 1.87x
At break even point, Cost function and revenue function becomes equal.
-> C(x) = R(x)
-> 0.81x + 60,420 = 1.87x
-> 60420 = 1.87x - 0.82x
-> 60420 = 1.05x
-> x = 60420/1.05
-> x = 57,542.8571
Thus, at break even point x = 57,542.8571
Answer:
a
Step-by-step explanation: