Answer:
The amount is $649.46 and the interest is $49.46.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$600 , r=8% , n=4 and t=1 years
After plugging the given information we have
AAAA=600(1+0.084)4⋅1=600⋅1.024=600⋅1.082432=649.46
STEP 2: To find interest we use formula A=P+I, since A=649.46 and P = 600 we have:
A649.46II=P+I=600+I=649.46−600=49.46
Answer:
Option C.
Step-by-step explanation:
We start with the expression:
where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)
We want to find the equivalent expression to this one.
Here, we can do the next two simplifications:
And:
If we apply these two to our initial expression, we can rewrite it as:
Here we can use the second simplification again, to rewrite:
So, concluding, we have:
Then the correct option is C.
Answer:
(a) P=0.694
(b) It is independent, beacuse the probability of having the disease for the children depends only on her mother condition (if she has the disease or not), not the condition of his brothers and sisters.
(c) P=0.25
Step-by-step explanation:
(a) If the mother has 0.33 probabilities of having the disease, the probability of the children having the disease is equal to the product of the probability of the mother having the disease (0.33) and the probability of inherit it (0.50).
So the probability of one child of having the disease is 0.33*0.5=0.167. The probability of not having the disease is then (1-0.167)=0.833
The probability of both children to not have the disease is 0.833^2=0.694.
(b) It is independent, beacuse the probability of having the disease for the children depends only on her mother condition (if she has the disease or not), not the ones of his brothers and sisters.
(c) If the mother has the disease, the child have a probability of 0.5 of having the disease.
The probability, given that the mother has the disease, of both child not having the disease is 0.5^2=0.25.
Answer:
In the billions.
Step-by-step explanation:
000 is hundreds
210 is thousands
543 is millions
876 is billions
9 is trillions
Do 4 times 6 times .5 then times 2. then 8 times 5 and add the numbers together
