It will take 14.7 years for Armando's money to double.
Option C
<u>Explanation:</u>
The rule of 72 is generally used to estimate the number of years required to double the invested money at a given annual rate of return. And alternatively to find the number of years required to double the money at a given interest rate, we have to just divide the interest rate into 72.
Here, the interest rate is 4.9%. Therefore, it would be as follows
Rule 72 can be used to identify the following:
- Number of years it takes an investment to double,
- Number of years it takes debt to double,
- The interest rate must earn to double in a time frame,
- Number of times debt or money will double in a period of time.
Answer:
10 1/2
Step-by-step explanation:
First you would do.
9+2/3+5/6
2/3=4/6
9+4/6+5/6
9+9/6=3/2
9+1 1/2
=10 1/2
Answer:
Step-by-step explanation:
In the two independent samples application, it involves the test of hypothesis that is the difference in population means, μ1 - μ2. The null hypothesis is always that there is no difference between groups with respect to means.
Null hypothesis: ∪₁ = ∪₂. where ∪₁ represent the mean of sample 1 and ∪₂ represent the mean of sample 2.
A researcher can hypothesize that the first mean is larger than the second (H1: μ1 > μ2 ), that the first mean is smaller than the second (H1: μ1 < μ2 ), or that the means are different (H1: μ1 ≠ μ2 ). These ae the alternative hypothesis.
Thus for the z test:
if n₁ > 30 and n₂ > 30
z = X₁ - X₂ / {Sp[√(1/n₁ + 1/n₂)]}
where Sp is √{ [(n₁-1)s₁² + (n₂-1)s₂²] / (n₁+n₂-2)}
Answer: C) 5
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x = independent variable, y = dependent variable
Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.
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An alternative is to use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (25 - 15)/(4 - 2)
m = 10/2 <--- this expression shows up again
m = 5 <---- leading to the same answer as before
So we see that the slope formula is a more drawn out method to finding the answer.
