Answer:
Step-by-step explanation:
The formula you need for this is
where
A(t) is the amount after a certain number of years has gone by,
P is the initial deposit,
r is the interest rate in decimal form,
n is the number of compoundings done per year, and
t is the amount of time in years.
For us,
A(t) = 11900
P is 250
r is .048
n is 12 (there are 12 months in a year)
t is our unknown. Filling in:
which simplifies a bit to
. Now we'll divide both sides by 250:
and then take the natural log of both sides to bring that t down out front:
and then
ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:
967.6383216 = 12t and divide both sides by `12 to get
t = 80.6 months which is 6.7 years
Answer:
There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Step-by-step explanation:
For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:
This is
In which
There is a 25.52% probability of observating 4 our fewer succesful recommendations.
perimeter = Answer:
Step-by-step explanation:
5. Perimeter of semi circle = r(pi+2)
Given diameter=17m; r=17/2
Perimeter = (17/2)(pi+2)
6. Given diameter = 10.5
Perimeter = (10.5/2)(pi+2)
Answer:
The missing value y=12.5 and we have (5,12.5)
Step-by-step explanation:
The formula used for direct variation is:
We need to find missing value (2,5)(5,y)
First we will find k, and then y
We have x=2, y=5
Find k:
Now, we cam find missing value in (5,y)
We have x=5, k=2.5 and y=?
So, the missing value y=12.5 and we have (5,12.5)
