Step-by-step explanation:
II will be the 90° clockwise rotation,
III will be the translation
IV will be the 180° rotation
V will be the 90° counter clockwise rotation
I find it convenient to look at the differences and the rate at which those differences are made up.
8. Jim is closing the $150 gap at the rate of $7.50 per week. He will catch up in
... 150/(7.5/week) = 20 weeks
9. At noon, the price of Stock A has increased by 0.05×3 = 0.15, so is now $15.90, which is $0.63 more than Stock B at that time. The prices are closing the gap at the rate of $0.05 +0.13 = $0.18 per hour, so will be the same after
... $0.63/($0.18/hour) = 3.5 hours . . . . after noon, at 3:30 pm
_____
You can also write and solve equations for the prices of the stocks. Or you can use a graphing calculator to tell you the solution. When equations are involved, I like to solve them the simplest possible way: let technology do it.
You are given the value at a time, and the rate of change of that value, so the equations are easily written in point-slope form. You will note that the common price at 3:30 pm (15.5 hours after midnight) is one that is not a whole number of cents. (That's usually OK for when trading stocks.)
The surface area of the box will be 112 in²
Explanation
According to the given diagram, the shape of the box is Right Rectangular prism.
The formula for the surface area is :
, where length, width and height of the rectangular prism
Given in the diagram that,
So, plugging the values into the formula...
So, the surface area of the box is 112 in²
Answer:
x = 2/3
Step-by-step explanation:
cross multiply
-9(x-4) = 10(3x+1)
and then solve the equation
-9x + 36 = 30x + 10
36 = 39x + 10
26 = 39x
x = 2/3