is this a school qustion? if not
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Answer: Growth factor will be 0.15 and percent increase will be 15%.
Step-by-step explanation:
Since we have given that
the exponential growth function
![y=235(1.15)^x](https://tex.z-dn.net/?f=y%3D235%281.15%29%5Ex)
1) We need to find the growth factor :
As we know the formula for "Compound Interest ":
![A=P(1+\frac{r}{100})^x](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5Ex)
If we compare the formula with our given equation, we get
![1+\frac{r}{100}=1.15\\\\\frac{r}{100}=1.15-1\\\\\frac{r}{100}=0.15\\\\r=0.15\times 100\\\\r=15](https://tex.z-dn.net/?f=1%2B%5Cfrac%7Br%7D%7B100%7D%3D1.15%5C%5C%5C%5C%5Cfrac%7Br%7D%7B100%7D%3D1.15-1%5C%5C%5C%5C%5Cfrac%7Br%7D%7B100%7D%3D0.15%5C%5C%5C%5Cr%3D0.15%5Ctimes%20100%5C%5C%5C%5Cr%3D15)
So, the growth factor is at the rate of 0.15.
2) Percent increase will be
![0.15=\frac{15}{100}\times 100\\\\=15\%](https://tex.z-dn.net/?f=0.15%3D%5Cfrac%7B15%7D%7B100%7D%5Ctimes%20100%5C%5C%5C%5C%3D15%5C%25)
Hence, growth factor will be 0.15 and percent increase will be 15%.
Answer:
option B : 12 degree
Step-by-step explanation:
The sum of angles in a triangle = 180 degree
Small box represents 90 degree
From the inner triangle
90 + angle y + 29 = 180 degree
90 + y + 29 = 180
119 + y = 180 (subtract 119 on both sides)
y= 61 degree
(y+x) is the top angle for bigger triangle
From the outer triangle , 90 + (y+x) + 17 = 180
We know y = 61
90 + (61+x) + 17 = 180
90 + 61 + x 17 = 180
168 +x = 180(subtract 168 on both sides)
x= 12 degrees
Answer:
B and C
Explanation:
Coordinates of A: (5,-5), which is in the 4th quadrant.
Coordinates of B: (-12,9), which is in the 2nd quadrant.
Coordinates of C: (-3,2), which is in the 2nd quadrant.
Coordinates of D: (2,-7), which is in the 4th quadrant.