Answer:
D.) f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily
Step-by-step explanation:
The growth equation can be written in terms of a rate compounded 7 times per week:
f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)
f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown
The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:
(1.0324 -1) × 100% = 3.24%
The best match is choice D:
f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily
Comparing the functions, from the tables, it is found that (f - g)(x) is positive in the interval (–∞, 9)
.
----------------------
- For the subtraction function, we simply subtract both functions, thus:
- It is positive if f is greater than g, that is: f(x) > g(x).
- It is a linear function, so one function is greater before the equality, one after.
- They are equal at x = 9.
- If x < 9, f(x) > g(x), and thus, (f - g)(x) is positive, which means that the desired interval is:
(–∞, 9)
A similar problem is given at brainly.com/question/24610273
Answer:
1 . Closure
2. Distributive
3. Closure
Step-by-step explanation:
Here, we want to know the type of property exhibited or displayed by each of the equations in the question.
Equation 1 displays the closure property.
What this means that if we make an addition operation either way, we would get same answer. So we say that addition is closed for that equation.
Equation 3 exhibits closure property as well. If we go either way on the addition operation for that equation, we are bound to get the same answer.
Equation 2 exhibits the distributive property.
Each term in the bracket is multiplied by the subtraction symbol before we proceeded to complete the arithmetic operations
Answer with explanation:
Given : Sample mean =
Standard deviation : 
Sample size : n = 36
Claim : 
∴ 
Since the alternative hypothesis is two tail , then the test is two tail test.
By using a z statistic and a 0.05 level of significance. Reject 
if z < -1.960 or is z> 1.960.
Then , the test static for population mean is given by :-
We reject since 
. We have statistically significant evidence at 
to show that the mean amount of garbage per bin is not different from 50.
Answer: Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.
