On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant is
modeled by G(t) = 90 + 45 cos (t), where t is
measured in hours and 0 the workday (t=0), the plant has 500 tons of unprocessed
gravel. During the hours of operations, 0 plant processes gravel at a constant rate of 100 tons per
hour.
b.) Find the total amount of unprocessed gravel that
arrives at the plant during the hours of operation on this
workday.

its a straight line parallel to the time axis

we can set up an equation to find the girls' ages. the equation is         28=0.5x-5+x. (comment if you need me to explain how i got this equation.) so, you add x and 0.5x to get 1.5x and add 5 to each side. your new equation is 33=1.5x. now divide both sides of the equation by 1.5 to get 22=x. because x is mary's age, to find jasmine's age we subtract mary's age from 28. we find that mary is 22 years old and jasmine is 6 years old.