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3 years ago

I need help with this proof

Mathematics

1 answer:

Maksim231197 [3]3 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.

In these triangles,

∠ABF ≅ ∠EDF - as two right angles;
BF ≅ FE - given;
∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.

By ASA postulate (or HA postulate) these triangles are congruent, so

ΔABF ≅ ΔEDF

Congruent triangles have congruent corresponding parts, so

FA ≅ EF

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The value of fund in 1999 is 5,700

value of fund in 2009 is 8,064

We need to find the geometric mean annual percent increase in the number of funds.

The geometric mean is the average of a set of products, it is defined as the compounding effect of the numbers in the series in which the numbers are multiplied by taking nth root of the multiplication.

The calculation of which is commonly used to determine the performance results of an investment or portfolio.

We know, The Geometric mean is = $\sqrt[n]{x_1*x_2*...*x_n}$

substituting values:

$\\ GM = (5790*8064)^{0.5} = 6833.049$

<h3>Formula used:</h3>

Geometric mean is = $\sqrt[n]{x_1*x_2*...*x_n}$

To know more about Geometric mean visit:

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