19 × 1.03 = 19.57
The answer is 19.57.
Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>
An exponential function is a function in which the growth rate is a percentage, modeled by:
![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
In which:
f(3.5) = 25 means that:
![ab^{3.5} = 25](https://tex.z-dn.net/?f=ab%5E%7B3.5%7D%20%3D%2025)
![a = \frac{25}{b^{3.5}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B25%7D%7Bb%5E%7B3.5%7D%7D)
f(8.5) = 14 means that:
![ab^{8.5} = 14](https://tex.z-dn.net/?f=ab%5E%7B8.5%7D%20%3D%2014)
Hence:
![\frac{25}{b^{3.5}} \times b^{8.5} = 14](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7Bb%5E%7B3.5%7D%7D%20%5Ctimes%20b%5E%7B8.5%7D%20%3D%2014)
![25b^5 = 14](https://tex.z-dn.net/?f=25b%5E5%20%3D%2014)
![b = \sqrt[5]{\frac{14}{25}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B14%7D%7B25%7D%7D)
![b = 0.89](https://tex.z-dn.net/?f=b%20%3D%200.89)
![a = \frac{25}{0.89^{3.5}} = 37.59](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B25%7D%7B0.89%5E%7B3.5%7D%7D%20%3D%2037.59)
Hence, the function is given by:
![y = 37.59(0.89)^x](https://tex.z-dn.net/?f=y%20%3D%2037.59%280.89%29%5Ex)
Then, when x = 5.5:
![f(5.5) = 37.59(0.89)^{5.5} = 19.8](https://tex.z-dn.net/?f=f%285.5%29%20%3D%2037.59%280.89%29%5E%7B5.5%7D%20%3D%2019.8)
More can be learned about exponential functions at brainly.com/question/25537936
Hey there, Lets solve this one by one
Firstly, a<span>dd </span>11<span> to both sides
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Now, </span><span>Simplify </span><span>5+11</span><span> to </span><span>16
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Finally, d</span><span>ivide both sides by variable </span><span>y
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![x = 16 /y](https://tex.z-dn.net/?f=x%20%3D%2016%20%2Fy)
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Show me the full question
Answer:
∠ABD; Alternate Interior angles are congruent
Step-by-step explanation:
Sides AB and DC are congruent and parallel.
The transversal is line BD.
So considering this things, ∠BDC and ∠ABD are congruent through alternate interior angle rule