The equation for Cole's earnings per hour is
y = 12.5 + 0.75x
for Amad's:
y = 10.50 + 2x/2
When we equate them
12.5 + 0.75x = 10.50 + 2x/2
Solving for x
x = 2
They will have the same earning rate after 2 years
Answer:34.5
Step-by-step explanation:
Difference = subtract
Answer:
time taken = 2.74 seconds
Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground
We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t²
110 = 16t²
t² = 110/16
t² = 6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative
Hope this helps :)
Answer:

Step-by-step explanation:
A = the area of the region outside the semicircle but inside the rectangle
w = the width of the rectangle or diameter of the semicircle
Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).
A(w) = (area of rectangle) - (area of semicircle)

Where,
lenght of rectangle (l) = w + 5
width of rectangle (w) = w
r = ½*w = 
Plug in the values:


Simplify





Volume of a rectangular prism(the baseball card case) can be defined as follows: V = lwh
V = lwh
V = 12(6.5)(1.25)
V = 97.5 cm³