Alright so start of with solving 1 1/8+5/6
Solve and you get 1 23/24
Now to subtract you have your answer subtracted by 1/2:
1 23/24-1/2=1 11/24
And so you get 1 11/24
~Evie
To model this situation, we are going to use the exponential function:

where

is the initial number of cars

is the growing rate in decimal form

is number of tames the growing rate is increasing per year

is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%


Since the growing rate is increasing quarterly,

. We also know that the initial number of cars is 920, so

. Lets replace all those values in our function:



We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
Answer:
L = 23 in
h = 46 in
Step-by-step explanation:
Let call " x " and " y " dimensions of the print area of the poster then:
882 = x*y and y = 882/x
We also know that dimensions of the poster is:
L = x + 2 in and h = y + 4 in
Therefore area of the poster is:
A(p) = ( x + 2 ) * ( y + 4 ) And area as function of x is:
A(x) = ( x + 2 ) * ( 882/x + 4 )
A(x) = 882 + 4*x + 1764 /x + 8
Taking derivatives on both sides of the equation we have:
A´(x) = 4 - 1764/x²
A´(x) = 0 ⇒ 4 - 1764/x² = 0 ⇒ 4*x² - 1764 = 0
x² = 1764 / 4
x² = 441
x = 21 in and y = 882/x y = 42
The second derivative A´´(x) is > 0 ( the second term changes its sign to +) there is a minimum for the function at the point x = 21
As x and y are dimensions of the printing area of the poster, dimensions of the poster are
L = x + 2 = 21 + 2 = 23 in and
h = y + 4 = 42 + 4 = 46 in