Answer:
Dimensions of printed area
w = 8.95 cm
h = 13.44 cm
A(max) = 120.28 cm²
Step-by-step explanation:
Lets call " x " and "y" dimensions of the poster area ( wide and height respectively) . Then
A(t) = 180 cm² = x*y y = 180/ x
And the dimensions of printed area is
A(p) = ( x - 2 ) * ( y - 3 ) then as y = 180/x we make A function of x only so
A(x) = ( x - 2 ) * ( 180/x - 3 ) ⇒ A(x) = 180 - 3x - 360/x +6
A(x) = - 3x - 360 /x + 186
Taking derivatives on both sides of the equation we get:
A´(x) = -3 + 360/ x²
A´(x) = 0 -3 + 360/ x² = 0 -3x² + 360 = 0
x² = 120 ⇒ x = √120 x = 10.95 cm
And y = 180 / 10.95 ⇒ y = 16.44 cm
Then x and y are the dimensions of the poster then according to problem statement
w of printed area is x - 2 = 10.95 - 2 = 8.95 cm
and h of printed area is y - 3 = 16.44 - 3 = 13.44 cm
And the largest printed area is w * h = ( 8.95)*(13.44)
A(max) = 120.28 cm²
Given that <span>C = { X | X + 6 = 10}
This can be interpreted grammatically as "C is a set X such that X is the solution to X + 6 = 10".
Given that X + 6 = 10
X = 10 - 6 = 4
Therefore, the solution is
C = {4}
</span>
9514 1404 393
Answer:
$67,200
Step-by-step explanation:
The amount if interest is given by the formula ...
I = Prt
where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.
P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025
P = $67,200
The amount invested was $67,200.
Answer:
C
Step-by-step explanation:
General probability is 3+5+4=12
3+4=7 (oranges and bananas answer is c
Step-by-step explanation:
good lucks
