6x-2x^2 would be the answer
Answer:
The loan was for 9 months only
Step-by-step explanation:
In this question, we are concerned with calculating the time taken for a loan om an interest to be paid back
To calculate this, we use the simple interest formula
Mathematically;
I = PRT/100
where P is the principal which is the amount borrowed and that is $500 according to the question
R is the rate which is 8% according to the question
Interest can be calculated by subtracting the principal from the amount paid back = 530-500 = 30$
We now plug these values into the equation
30 = (500 × 8× T)/100
100 × 30 = 4000T
T = 3000/4000
T = 0.75 (same as 0.75 × 12 months = 9 months)
We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
If you want to learn more, you can read:
brainly.com/question/1349408
