Answer:
Your annual expected value is -$550.
Step-by-step explanation:
0.002 probability that you will total your car.
If you total your car, you pay the insurance of $600, but you get the $25,000 insurance. So in total, the net value will be $24,400.
1-0.002 = 0.998 probability that you will not total your car.
In this case, you lose $600.
What is your annual expected value?
Multiply each net value by it's probability.
E = 0.002*24400 - 0.998*600 = -550
Your annual expected value is -$550.
Answer: OPTION D
Step-by-step explanation:
You need to remember this property:

And remember that:
Then, the first step is rewrite the expression:

Now, to find the corresponding equivalent expression, you need to simplify the expression.
Therefore, the equivalent expression is the following:

Finally, you can observe that this matches with the option D.
You're looking for the time

that it takes for the principal

to double, so

. Dividing both sides of the formula by

leaves you with

You're given that the account earns 0.75% interest and that the interest is compounded monthly, so

and

.



Answer:
3. The number of students that rode on each bus
Step-by-step explanation:
The equation they give us is:
2b + 6 = 70
The question already tells us that in this equation:
2 is the 2 buses that the school hired
6 is the 6 leftover kids who couldn't fit on the 2 buses
The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).
So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.
Hope it helps (●'◡'●)