A = P (1 + r/n)^nt
A = 4000(1 + 0.05/1)^(13)(1)
A = $7542.59
The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
<h3>What is defined as the quadratic formula?</h3>
- A quadratic equation is just a polynomial with a second degree first term.
- There are several methods for determining the roots, or solutions, of such a quadratic equation.
- Every quadratic equation has two solutions, that might or might not be real numbers.
- The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary number
If the quadratic equation is ax² + bx + c = 0.
Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.
The quadratic equation is given as; 2x² - 5x - 12 = 0.
On comparing with the standard form;
Put the values in the formula,
x = [-b ± √(b² - 4ac)]/2a.
x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2
On simplification,
x = [5 ± 11]/4
There will be two roots of equation,
a; x = [5 + 11]/4
x = 16/4 = 4
b ; x = [5 - 11]/4
x = 6/4 = 1.5
Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
To know more about the quadratic formula, here
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Answer:An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.
Step-by-step explanation:
An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.
Sum of the interior angles of a pentagon is 720 degrees. Sum of two angles that form a bisected line is 180 degrees. So interior angles going clockwise are 138 degrees. 128 degrees. 119 degrees. 180- 2*t degrees. And 180 - 3*t degrees. So sum of angles is:
138+128+119+(180 - 2*t) + (180 - 3*t) = 720
25 = 5*t
t = 5 degrees.
