The light from the moon, in lux, on the night of the t^{\text{th}}t th t, start superscript, start text, t, h, end text, end superscript day of 201620162016, is \qquad L(t) = 0.25 - \sin\left(\dfrac{2\pi (t-2)}{28.5}\right)L(t)=0.25−sin( 28.5 2π(t−2) )L, left parenthesis, t, right parenthesis, equals, 0, point, 25, minus, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 2, right parenthesis, divided by, 28, point, 5, end fraction, right parenthesis.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

b). 4320 have a nice day

a. (14,375+570)(5.3) b. 158,417$

step-by-step explanation:

a. you are basically just setting up the equation. f= amount of debt hence 14,375. g= how much she is borrowing from her parents weekly hence 570 and t= the interest on her debt. creating the equation.

b.   14,375+570= 14,945

      14,945 x 5.3 = 79,208.5

      79,208.5 x 2(years) = 158,417(answer)