Jenna just opened a checking account at the bank. within the first month, she deposited three checks for $34.98, $51.02, and $51.22. she withdrew $5.23 for new pencils, $5.22 for cards, and $7.89 for movies from her account in the same month.write jenna's withdrawals as negative rational numbers and her deposits as positive rational numbers.   order the rational numbers from least to greatest and explain your reasoning. at the beginning of the month jenna’s balance was $98.  what was her balance at the end of the month after all of her deposits and withdrawals?   show your work, no credit will be given for just an answer.there are no options

a) 17.6cm and 22.4cm

b) the total area of the circle and the square can be maximum by differentiating and equating it to zero

Step-by-step explanation:

The length of the wire = 40

Let x be the circumference of the circle.

x = 2πr

r = x/2π (r = radius)

Let the perimeter of the square = (40-x)

4L = 40-x

Where L = lenght

L = (40-x)/4

Area of a circle = πr^2

A = π (x/2π)^2

A = π(x^2/(4π)^2)

A = x^2 / 4π

Area of a square = L^2

= [(40-x)/40]^2

= (x^2 - 80x +1600)/16

Total area = area of circle + area of square

= x^2/4π + (x^2 - 80x +1600)/16

= 0.0796x^2 + 0.0625x^2 - 5x + 100

A= 0.1421x^2 - 5x +100

Differentiate A with respect to x

dA/dx = 0.2842x -5

Total area is minimum when dA/dx = 0

0.2842x - 5 = 0

0.2842x = 5

x = 5/0.2842

x = 17.6cm

The circumference of the circle is 17.6cm

40-x = 40 - 17.6 = 22.4cm

The perimeter of the square is 22.4cm.

b) the total area of the circle and the square can be maximum by differentiating and equating it to zero