Answer:
ASA
Step-by-step explanation:
In given triangle
Line BC = Line QR
Angle ABC = Angle PQR
Angle ACB = Angle PRQ
Computation:
Angle ABC = Angle PQR (Angle)
Line BC = Line QR (Side)
Angle ACB = Angle PRQ (Angle)
So,
ΔABC ≅ ΔPQR
By Angle Side Angle property
ASA
Answer
Given
Sean's house is currently worth $188,900.
According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.
To prove
Formula
![Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}](https://tex.z-dn.net/?f=Compound%5Cquaterly%5C%20interest%20%3D%20Principle%20%281%20%2B%20%5Cfrac%7Br%7D%7B4%7D%29%5E%7B4t%7D)
Where r is the rate in the decimal form.
As given
![Take\ Principle\ = P_{0}](https://tex.z-dn.net/?f=Take%5C%20Principle%5C%20%3D%20P_%7B0%7D)
![Rate = \frac{4.8}{100}](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B4.8%7D%7B100%7D)
= 0.048
Put in the formula
![Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}](https://tex.z-dn.net/?f=Compound%5Cquaterly%5C%20interest%20%3D%20P_%7B0%7D%281%20%2B%20%5Cfrac%7B0.048%7D%7B4%7D%29%5E%7B4t%7D)
![Compound\quaterly\ interest = P_{0} (1 + \frac{0.048}{4})^{4t}](https://tex.z-dn.net/?f=Compound%5Cquaterly%5C%20interest%20%3D%20P_%7B0%7D%20%281%20%2B%20%5Cfrac%7B0.048%7D%7B4%7D%29%5E%7B4t%7D)
Now also calculated monthly.
Formula
![Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}](https://tex.z-dn.net/?f=Compound%5C%20monthly%20%3D%20Principle%20%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%29%5E%7B12t%7D)
As given
![Take\ Principle\ = P_{0}](https://tex.z-dn.net/?f=Take%5C%20Principle%5C%20%3D%20P_%7B0%7D)
![Rate = \frac{4.8}{100}](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B4.8%7D%7B100%7D)
= 0.048
Put in the formula
![Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}](https://tex.z-dn.net/?f=Compound%5C%20monthly%20%3D%20P_%7B0%7D%20%281%20%2B%20%5Cfrac%7B0.048%7D%7B12%7D%29%5E%7B12t%7D)
![Compound\ monthly = P_{0} (1 + 0.004)^{12t}](https://tex.z-dn.net/?f=Compound%5C%20monthly%20%3D%20P_%7B0%7D%20%281%20%2B%200.004%29%5E%7B12t%7D)
![Compound\ monthly = P_{0} (1.004)^{12t}](https://tex.z-dn.net/?f=Compound%5C%20monthly%20%3D%20P_%7B0%7D%20%281.004%29%5E%7B12t%7D)
As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .
Thus Option (A) is correct.
i.e
The expression
reveals the approximate quarterly growth rate of the value of Sean's house.
Answer:253.33...
Step-by-step explanation:
3-----4
3-----4
3-----4
Total (Left): 9
Total (Right): 12
-------------------
Total (Left) + Total (Right) = 9 + 12 = 21
Answer:
B
Step-by-step explanation: