An implication of p→ q, its contrapositive will be:
Not q→ Not p:
In our example the implication p→ q is p>q and is contrapositive is:
Not q > Not p
If I'm understanding this correctly you mean:
If a vertical line does not connect to more than one point in a relation then that relation is a function.
Then your answer is A-True.
That is called the vertical line test. The vertical line cannot touch more than one point at the same time if it is a function. If it does touch then it is not a function.
Answer:
The fact that the number of crimes and the population of students is positively correlated, means that as the total number of students increases, so does the total number of crimes.
The conclusion that closing schools will decrease crime is absurd. First of all, the variables might be totally unrelated, e.g. places with large number of students are places that have high populations. Higher crime rate are generally linked to neighborhoods or cities with high populations.
The idea of closing schools to fight crime is foolish because it will result in the opposite. Generally, students who go to school tend to be less engaged in criminal activities. The real problem here is that you should try to increase the number of students that attend schools in Glendale, not vice versa.
Answer:
The growth rate he needs to achieve his goal is approximatelly 19.8%
Step-by-step explanation:
Since the sum will be compounded continuously we have to use the appropriate formula given below:
M = C*e^(r*t)
Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:
16000 = 4000*e^(r*7)
4000*e^(7*r) = 16000
e^(7*r) = 16000/4000 = 4
ln[e^(7*r)] = ln(4)
7*r = ln(4)
r = ln(4)/7 = 0.198
The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.
