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natetheman7740
18.10.2020 •
Mathematics
In which of the following drawings is DE parallel to AC?
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Ответ:
Option (C)
Step-by-step explanation:
In this question we will use the property " similarity of the triangles".
If DE and AC are parallel two triangles BED and BCA will be similar, corresponding sides of the triangles will be proportional.
Option (A).
But![\frac{17}{6}\neq \frac{20}{7}](/tpl/images/0817/4867/ebead.png)
Therefore, given triangles are not similar.
AC and DE are not parallel.
Option (B).
But![\frac{25}{18}\neq \frac{10}{7}](/tpl/images/0817/4867/d2394.png)
Therefore, AC and DE are not parallel.
Option (C).
2.5 = 2.5
Therefore, AC║DE.
Option (D).
But![\frac{9}{7}\neq \frac{22}{17}](/tpl/images/0817/4867/ef21f.png)
Therefore, AC and DE are not parallel.
Option (C) will be the answer.
Ответ:
There are two options to calculate the type of time value of any investment or loan: simple interest or compound interest. You can see the formulas below for calculating the interests.
Step-by-step explanation:
There are two options to calculate the value of your money in the future. Simple interest rate when the interests will be paid fully at the end of the term, in this case, 10 years as a part of the principal and are calculated as follows:
Interest = Principal * Interest rate * Time
But normally, simple interest is not frequently used on investments, loans, and financial services, what normally happens is that the interest is added or compounded to the principal, and the next interest calculation is done on both the principal and the interest.
Interest can be compounded at intervals known beforehand, annually, quarterly, monthly, weekly or even daily.
To calculate compound interest over a period of time, the following formula is used:
Interest = Principal * (1 + r/n)ⁿˣ - Principal,
where r is the interest rate, n is the number of times per year interest is compounded, and x is the length of time in years.