Answer:
$112
Step-by-step explanation:
So first figure out how much he makes an hour
8*4 is 32.
32*3 1/2 is $112
Answer:
Step-by-step explanation:
Answer:-24
explain how you know:
Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)
Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)
For maxima or minima, f ‘ (x) = 0
=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3
Differentiating (2), f ‘’ (x) = 72/x^3
When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.
When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.
Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)
He should, because he would get two more tickets.
To prove this, do this:
Divide $40 by 1.5 to get 26.6666666666666666667 (Ignore the .666666666667, just use 26 because you can't buy part of a ticket.)
Now subtract 5 from $40 to get the amount with the membership pass. You will get 35. Divide 35 by 1.25 to get 28. Marcel will get 2 more tickets if he buys the pass.
Answer:
11) x = 11
12) x = 11
Step-by-step explanation:
11) Δ RQP and Δ RLK are similar.
Hence, the ratios of the corresponding sides of the two triangles will be constant.
So, 
⇒ 
⇒ 
⇒ x - 4 = 7
⇒ x = 11 (Answer)
12) Δ QRS and Δ QDC are similar.
So, 
⇒ 
⇒ 2x - 14 = 8
⇒ 2x = 22
⇒ x = 11 (Answer)
