Using an exponential function, it is found that it's annual growth rate is of 4%.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:
A(10) = 1.5A(0).
Thus:
![\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%20%2B%20r%29%5E%7B10%7D%7D%20%3D%20%5Csqrt%5B10%5D%7B1.5%7D)
1 + r = 1.04.
r = 0.04.
0.04 x 100% = 4%.
It's annual growth rate is of 4%.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
x = -3
Step-by-step explanation:
3(4x + 8) = - 35+23
Combine like terms
3(4x + 8) =-12
Divide by 3
3/3(4x + 8) = -12/3
4x+8 = -4
Subtract 8 from each side
4x+8-8 = -4-8
4x = -12
Divide by 4
4x/4 = -12/4
x = -3
The required value is 
Step-by-step explanation:
Weight of ants = 
Weight of elephant= 
We need to find, the total weight of about how many ants equals to the weight of an oversized elephant.
The equation given is:
We need to find a:
Solving:
So, the required value is
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Answer:
2nd one have a good day ;)
15% is .15
<span>.15 x 18 = 2.70 </span>
<span>18 - 2.70 = 15.30</span>
