Answer:
- 1) 4812 students
- 2) 763 pounds
- 3) $30906.76
Step-by-step explanation:
1)
- Initial number = 2988
- Rate of increase = 10%
<u>Number of students after 6 years:</u>
2)
- Initial number = 1200
- Rate of decrease = 14%
<u>Amount of gold after 4 years:</u>
3)
- Initial number = 28000
- Rate of increase = 2.5%
a)
<u>Salary after n years:</u>
b)
<u>Salary in the 5th year:</u>
1) Definitions:
1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: <span>If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
</span>3) Inverse of the given statement
conditional: if <span>a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
</span>if a line is not vertical, then it does not have an undefined slope <---answer
Answer:
324
Step-by-step explanation:
Given:
Find:
First, find f(x):
Now,
Answer: A
Step-by-step explanation:
First, the problem is g(f(x)). You would plug in f(x) wherever you see an x in g(x). To find the domain, you take the bottom function, and set it equal to 0.
When you solve that, you get x=2. You know your domain is x≥2, but there is as asymptote at x=11. That means the graph never reaches x=11, but gets very close. You find that by setting the entire equation equal to 0 and solve from there.
The simple interest formula<span> allows us to calculate I, which is the </span>interest<span> earned or charged on a loan. According to this </span>formula<span>, the amount of </span>interest<span> is given by I = Prt, where P is the principal, r is the annual </span>interest<span> rate in decimal form, and t is the loan period expressed in years.
I = Prt
I = 5500 (8) (0.025) = 1100 <----second option</span>
