How much is the lottery really worth? you have to be careful about money. lottery winners sometimes think they are millionaires when in fact they are not as rich as they think. suppose a state runs a lottery in which the grand prize is $1 million dollars. what that means is that the winner is paid $1 million dollars continuously over the next 20 years. assuming that banks pay interest of 10% on borrowed money over the next 20 years, how much is the lottery worth in today's dollars? hint: letting t denote time in years, first solve s' = 0.10s - 50,000, s(0) = so, and then set s(20) 0 and solve for so

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

wait this depends wether emily and zach how they are thinking.

yes they are the same.