Answer:
Step-by-step explanation:
we know that
In a 45-45-90 right triangle, the length of the two legs are equal
so
Applying the Pythagorean Theorem
where
c is the hypotenuse
a and b are the legs
we have
substitute
simplify
Answer:
1. c. $450.
2. 22%
Step-by-step explanation:
1. We will use simple interest formula to find the amount of interest after 2 years on $5,000. As interest is not compounded, so it will not matter if she moves the simple interest earned in separate account or not.
, where,
I= Amount of interest.
P= Principal amount.
r= Interest rate in decimal form.
t= Time in years.
Upon substituting our given values in above formula we will get,
Therefore, Tracy will get an amount of $450 as simple interest after 2 years and option c is the correct choice.
2. Sylvia bought a 6-month $1900 certificate of deposit. At the end of 6 months, she received a $209 simple interest.
6 months is same as 1/2 year.
Upon substituting our given values in above formula we will get,
Since interest rate is in decimal form, let us convert it in percent.
Therefore, interest rate of certificate of deposit was 22%.
Answer:
y=-2x-14
Step-by-step explanation:
Answer + Explanation:
The Monty Hall problem is a famous problem in conditional probability and reasoning using Bayes' theorem.
How to explain the probability?
In the problem, you are on a game show, being asked to choose between three doors. Behind each door, there is either a car or a goat.
You choose a door. The host, Monty Hall, picks one of the other doors, which he knows has a goat behind it, and opens it, showing you the goat.
You know, by the rules of the game, that Monty will always reveal a goat. Monty then asks whether you would like to switch your choice of door to the other remaining door.
In conclusion, the solution is that switching will let you win twice as often as sticking with the original choice.