Answer:
$112.08 every year.
Step-by-step explanation:
Let's suppose a game in which we bet a certain amount of money ''A'' to a certain result and the probability of that result is ''p''. If the prize that we get is ''P'' therefore the expected value of gain is :

Now,let's suppose that the female is ''betting on her death'' ⇒
P(she survives) = 0.999592
P(she doesn't survive) = 1 - 0.999592=
E(25-year old female) = 
The negative sign of E is important.It means that every year the 25-year old female will lose $112.08.
Therefore, the expected value of this policy to the insurance company is $112.08 every year.
Answer:
90
Step-by-step explanation:
It starts going up by 6. Then it goes up by 2 more than six. 6, 8, 10. Going up 2 more than last time. 2018 would be 12 more, or 76, and 2019 would be 14 more, or 90.
Answer: 26, 21, 16, 11, 6, 1 (You're going up by 5 each time)
Step-by-step explanation: Good luck! :D
Sales tax and tip will increase the price of an item.
The cost of each meal is: $10.89
Let the cost of both meals be x.
A 20% tip means that, the current price is:

A 6% sales tax on the meal means that, the current price is:

So, we have:



The amount paid is $27.72
So, the equation becomes

Make x the subject


So, the cost of each meal is:


Hence, the cost of each meal is: $10.89
Read more about sales tax at:
brainly.com/question/19715580
Answer:
Step-by-step explanation:
The slope of the tangent to a curve is the derivative of the curve. We need to find the derivative of the function and then evaluate the derivative at that given x value. The derivative is found using the product rule:

Let's call 3x our f(x) and sin(x) our g(x). Filling in the formula for the derivative using the product rule looks like this:

That gives us the derivative, which is the slope formula that can be used at ANY x value anywhere on the curve to find the slope of the line tangent to the curve at that x value. If we want to find the slope of the tangent line to the curve at x = pi/2, we evaluate the slope formula at x = pi/2 (remember that y' is the same exact thing as the slope):

From the unit circle (or experience, since you're in advaced math), we know that the cosine of pi/2 is 0 and that the sin of pi/2 = 1:
simplifies to
y' (slope) = 3
That means that the slope of the line tangent to the curve at the point x = pi/2 is 3.