57-36=21 times (rolled less than 3)
36:21 →12:7
Answer:
![\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5C%3A%5C%3Aand%5C%3A%5C%3A%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)
Step-by-step explanation:
<u>Definitions</u>
Integer: A whole number that can be positive, negative, or zero.
Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).
Irrational Number: A real number that <u>cannot</u> be written as a rational number.


Therefore, -8.2183 can be expressed as a <u>rational number</u>.
π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.

is an irrational number.

As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.
<u>Conclusion</u>
Therefore, the numbers that are irrational are:
![\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5C%3A%5C%3Aand%5C%3A%5C%3A%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)
Because this equation is in slope-intercept form, we can tell exactly how it will look by checking out 3 key points.
Leading coefficient: negative, or positive.
In this case, the leading coefficient is positive, which means that the slope will be going from bottom left to upper right.
Leading coefficient = slope
In this case, the slope is 4, or 4/1, so it will be at a steep incline.
Value of constant = y-intercept.
In this case, the y-intercept is -2, which will help us narrow down our choice.
<h3><u>After reviewing the three answer choices, the most likely selection will be A, as it seems to have a slope of 4, it is positive, and it has a y-intercept of -2.</u></h3>
Principal Amount = P = $1600
Interest rate = r = 6.5% = 0.065
Time in years = t = 6
Formula for compound interest is:

Using the values, we get:

Rounding of to nearest hundredth, the balance in the account after 6 years will be
$2363.17