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2 years ago

Please explain every step

Mathematics

1 answer:

pogonyaev2 years ago

8 0

<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

$\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}$

<u>Identify the following's</u>:

First Term [a] = 60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r] = 1.2

Total Terms [n] = 44

===========================

$\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}$

===========================

Solving Steps:

<em /> $\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}$ <em />

<em />

<em /> $\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}$ <em />

<em />

<em /> $\rightarrow \sf 761679.5808$ <em />

<em />

$\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)$

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Answer:

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Step-by-step explanation:

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$(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)$ (1)

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$(h, k) = (4, 7)$

The length of each semiaxis is, respectively:

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The standard equation of the ellipse is described by the following formula:

$\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1$

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$\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$

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