Answer:
Step-by-step explanation:
Exponential equations can be written as
in this case,
a = 5000 (the starting amount)
we just have to find b
![10000 = 5000b^4\\20000 = 5000b^8\\\\b^4 = 2\\b^8 = 4\\\\\\b = \sqrt[4]{2}](https://tex.z-dn.net/?f=10000%20%3D%205000b%5E4%5C%5C20000%20%3D%205000b%5E8%5C%5C%5C%5Cb%5E4%20%3D%202%5C%5Cb%5E8%20%3D%204%5C%5C%5C%5C%5C%5Cb%20%3D%20%5Csqrt%5B4%5D%7B2%7D)
![y = 5000(\sqrt[4]{2})^x](https://tex.z-dn.net/?f=y%20%3D%205000%28%5Csqrt%5B4%5D%7B2%7D%29%5Ex)
Answer:
I think your question is not complete..
can you write the question in a way which will determine in what way you want your answer..
i mean from what to find x..
Area is given as 285cm
what is 15 cm for?
from here where is x given to find?
Yes, the correct answer is C, I believe..?
Answer:the total number of horses in the herd is 36
Step-by-step explanation:
Let x represent the total number of horses in the herd.
One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be
1/4 × x = x/4
Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be
2 × √x = 2√x
Three times five horses remained on the riverbank. This means that the number that remained would be
3 × 5 = 15
Therefore
x/4 + 2√x + 15 = x
x - x/4 - 15 = 2√x
(4x - x - 60)/4 = 2√x
(3x - 60)/4 = 2√x
Cross multiplying,
3x - 60 = 8√x
Squaring both sides of the equation, it becomes
(3x - 60)(3x - 60) = 64x
9x² - 180x - 180x + 3600 = 64x
9x² - 360x - 64x + 3600 = 0
9x² - 424x + 3600 = 0
Applying the quadratic equation
x = (- b ±√b² - 4ac)/2a
x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9
x = (424 ± √179776 - 129600)/18
x = (424 ±√50176)/18
x = (424 + 224)/18 or
x = (424 - 224)/18
x = 36 or x = 11.11
the number of horses must be whole number. Therefore, the number of horses is 36
13
Divide 52 by 4 which gives you 13. 13 x 4 = 52
