Simplified it's 576x^8y^7
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%.
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
−4/15
Decimal Form:
−0.26
Basically do
y2-y1 divided by x2-x1
14-10 divided by -7-8
which equals -4/15
Answer:
Ani age is 21
Biju age is 18
Step-by-step explanation:
let Ani age be X
let Biju age be Y
the difference of their age is 3
i.e X - Y = 3......,....(equ. 1)
let Dharam age be A
let Cathy age be B
i.e A = 2x
B = y/2
the difference of their age is 30
Y/2 - 2x = 30..... (equ. 2)
from equ.1 X = ( 3+y).........( equ.3)
y/2 - 2(3+y) = 30
y/2 - 6 + 2y = 30
multiply both side by 2
y - 6 + 2y = 60
y + 2y = 60 - 6
3y = 54
Y = 18
from equ.3
X = 3+Y where y is 18
X = 3+18 = 21
Answer:
Sry if it is wrong..........