The formula for calculating compound interest with yearly contributions is:
Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)
where the balance is the money earned after n years invested
Y is the interest rate as a fraction
Z is the yearly contribution
X is the starting investment
Therefore the calculation for this example is:
Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)
= $249,393.5
It is given the probability that a dancer like ballet is 0.35
So, P(B) = 0.35
It is given the probability that a dancer like tap is 0.45
So, P(T)= 0.45
The probability that he likes both ballet and tap is 0.30
So, 
the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.
So, 

= 0.666
= 0.67
Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.
Option 3 is the correct answer.
Answer:
7 feet
Step-by-step explanation:
The length of the line segment doesn't change if you reflect it over the line l.
Answer:
1/6
Step-by-step explanation:
Hope it helps plz give brainliest! :D
Answer:
Step-by-step explanation:
we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
q² = p² + r² - 2(p × r)CosQ
q² = 12² + 6² - 2(12 × 6)Cos92
q² = 144 + 36 - 2(72)Cos92
q² = 180 - 144 × - 0.0349
q² = 180 + 5.0256
q² = 185.0256
q = √185.0256
q = 13.6 to the nearest integer