Check the attached file for the answer.
Answer:
d) $946
Step-by-step explanation:
4.4% of 4300 = 189.2
simple interest is the value (189.2) x the amount of years (5)
189.2 x 5 = 946
Given:
It is given that,
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the value of ∠QPR.
Formula
As per the given problem PR lies between PQ and PS,
So,
∠QPR+∠RPS = 90°
Now,
Putting the values of ∠RPS and ∠QPR we get,
![7x-9+4x+22 = 90](https://tex.z-dn.net/?f=7x-9%2B4x%2B22%20%3D%2090)
or, ![11x = 90-22+9](https://tex.z-dn.net/?f=11x%20%3D%2090-22%2B9)
or, ![11x = 77](https://tex.z-dn.net/?f=11x%20%3D%2077)
or, ![x = \frac{77}{11}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B77%7D%7B11%7D)
or, ![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
Substituting the value of
in ∠QPR we get,
∠QPR = ![7(7)-9](https://tex.z-dn.net/?f=7%287%29-9)
or, ∠QPR = ![40^\circ](https://tex.z-dn.net/?f=40%5E%5Ccirc)
Hence,
The value of ∠QPR is 40°.