Step-by-step explanation:
principal= 24000$
rate=8.25%
time=36months=3years
now,
simple interest =PTR/100
=24000×8.25×3/100
=594000/100
=5940
so,
amount=simple interest +principal
=5940+24000
=29940$
he had to pay back 29940$
hope it could help
Has to be B other I don't know
Answer:
The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
Step-by-step explanation:
The information provided is:
![n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%](https://tex.z-dn.net/?f=n%3D80%5C%5C%5Csigma%3D30%2C000%5C%5C%5Cbar%20x%3D585062.50%5C%5C%5Ctext%7BConfidence%20level%7D%20%3D%2090%5C%25)
The critical value of <em>z</em> for 90% confidence level is, 1.645.
Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:
![CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20z_%7B%5Calpha%2F2%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D585062.50%5Cpm%201.645%5Ctimes%5Cfrac%7B30000%7D%7B%5Csqrt%7B80%7D%7D%5C%5C%5C%5C%3D585062.50%5Cpm5517.50%5C%5C%5C%5C%3D%28579545%2C%20590580%29)
Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.
There are 16 girls and 12 boys which means the ratio of number of girls to the numbers of boys in her class is 16:12 and 4:3 when simplified.
Note that both sides were multiplied by 5.
So that would be "Multiplication Property of Equality."
Basically, this property states that if a=b, then ac = bc.