42 (1- 25/100) = 63/2 = 31.5 dollars
answer is $31.50
hope it helps
Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
$8 per hour
Work for 4 hours a day so
$8x 4 =32
So he make $32 a day
Answer:
B. 7.3 years
Step-by-step explanation:
The question is wrong. The correct function is :
We have the function 
that represents the value of a piece of farm equipment after 
years.
This means that when 
its original value is :
Now we want to calculate approximately when will its value be half its original value. Then, we write :
is half of its original value. We need to find that satisfies the following equation :
Solving for :
⇒
Now we apply natural logarithm to each side of the equation :
![ln(0.5)=ln[(0.91)^{x}]](https://tex.z-dn.net/?f=ln%280.5%29%3Dln%5B%280.91%29%5E%7Bx%7D%5D)
Using logarithm properties :
⇒
![ln(0.5)=x[ln(0.91)]](https://tex.z-dn.net/?f=ln%280.5%29%3Dx%5Bln%280.91%29%5D)
⇒
≅ 
The correct option is B. 7.3 years
