Answer:
Step-by-step explanation:
Given the equation 
Step 1;
Expand the bracket at the right hand side of the equation to have:
Taking the reciprocal of both sides:
Answer:
The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072
Step-by-step explanation:
In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:
p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124
We now need to calculate the probability that one child learns to swim before 6 years of age.
p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)
p(1) = 3.744*0.01634
p(1) = 0.0612
The probability of 1 or less children from that group to learn how to swim before 6 years of age is:
p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244
(f+g)(x) is 3x^2 + 3x/2 - 9
(f+g)(x)=f(x)+g(x)=x/2-3+3x^2+x-6= 3x^2 + 3x/2- 9
Answer:
The money was invested for 8 years.
Step-by-step explanation:
Given that a principal of $ 20,000 is invested at 6.25% and earns $ 10,000 simple interest, to determine how many years has the money been invested, the following calculation has to be performed:
(20,000 x 0.0625) x X = 10,000
1,250X = 10,000
X = 10,000 / 1,250
X = 8
Thus, the money was invested for 8 years.
