Answer:
7/8 to the 7th power
Step-by-step explanation:
Step-by-step explanation:
We use
![a ^{2} - \times ^{2} = (a - \times )(a + \times )](https://tex.z-dn.net/?f=a%20%5E%7B2%7D%20%20-%20%20%5Ctimes%20%5E%7B2%7D%20%20%3D%20%28a%20-%20%20%5Ctimes%20%29%28a%20%2B%20%20%5Ctimes%20%29)
Now we have
![\frac{ { \times }^{2} }{9} - 64 = ( \frac{ \times }{3} ) ^{2} - {8}^{2} \\ = ( \frac{ \times }{3} - 8)( \frac{ \times }{3} + 8)](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B%20%5Ctimes%20%7D%5E%7B2%7D%20%7D%7B9%7D%20%20-%2064%20%3D%20%28%20%5Cfrac%7B%20%5Ctimes%20%7D%7B3%7D%20%29%20%5E%7B2%7D%20%20-%20%20%7B8%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20%28%20%5Cfrac%7B%20%5Ctimes%20%7D%7B3%7D%20%20-%208%29%28%20%5Cfrac%7B%20%5Ctimes%20%7D%7B3%7D%20%20%2B%208%29)
Hope that useful for you
Answer:
Step-by-step explanation:
Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.
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Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...
- a = 78,500
- b = 1.02 = 1 +0.02 = 1 +2%
The value of x is zero in the year 2000, so the population that year is ...
p(0) = a = 78,500
The increase per year is the value of 'b' with 1 subtracted:
growth rate = 2% per year
Divide 108 and 72 by twelve and you get 9 and 6 which all you have to do it multiply together