Answer:
The shoe salesman will earn a commission of=$74
Step-by-step explanation:
Step 1: Value of sales
Express the total value of sale the shoe salesman makes as follows;
Total value of sales=number of shoes sold×price per shoe
where;
Number of shoes sold and price per shoe=2 pairs each at $80
number of shoes sold a and price per shoe=3 pairs each at $70
replacing;
Total value of shoes sold=(2×80)+(3×70)=$370
Total value of shoes sold=$370
Step 2: Calculate how much the shoe salesman earns
The expression for how much the shoes salesman will earn is as follows;
A=r×c
where;
A=total amount of the shoe salesman income
r=commission rate
c=total value of sales
In our case;
A=unknown
r=20%=20/100=0.2
c=$370
Step 3: Substitute values in the expression
A=20% of $370
A=0.2×370
A=74
The shoe salesman will earn a commission of=$74
Answer:
$74
Step-by-step explanation:
Just did test
The line of symmetry that divides a parabola in half as "The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola".
A parabola is an approximately U-shaped, mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line. Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form. A parabola's general equation is written as y = a(x - h)² + k or x = a(y - k)²+ h. Vertex here is indicated by (h, k).
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a. 2.5
b. 5
c. 10
Answer:
10
Step-by-step explanation:
Explanation:
A reaction in which large atomic nucleus of an atom splits into two small atomic nuclei is known as a nuclear fission reaction.
For example,
This reaction shows that nitrogen nucleus splits into a carbon and hydrogen nuclei.
On the other hand, a reaction in which two small nuclei combine together to result in the formation of a large nuclei is known as nuclear fusion reaction.
For example,
Hence, we can conclude that in the given reaction mass number and atomic number of carbon is .
The reaction between nitrogen-14 (¹⁴N₇) and a neutron (¹n₀) produces carbon-6 (⁶C₃) and hydrogen-7 (⁷H₁) nuclei: ¹⁴N₇ + ¹n₀ → ⁶C₃ + ⁷H₁.
The reaction involving the collision of a neutron (¹n₀) with a nitrogen-14 nucleus (¹⁴N₇) results in the formation of carbon and hydrogen isotopes. The balanced nuclear reaction is as follows:
¹⁴N₇ + ¹n₀ → ⁶C₃ + ⁷H₁
In this reaction, the nitrogen-14 nucleus captures a neutron, leading to the production of carbon-6 (⁶C₃) and hydrogen-7 (⁷H₁). Carbon-6, also known as carbon-6 or ⁶C, is a radioactive isotope with three protons and three neutrons in its nucleus.
Hydrogen-7, represented as ⁷H₁, is a rare and unstable isotope of hydrogen with one proton and six neutrons in its nucleus. Nuclear reactions like these are crucial in understanding nuclear processes, such as those occurring in stars or nuclear reactors. They provide insights into elemental transmutations and the formation of isotopes with varying nuclear properties, shedding light on the behavior of matter at the atomic and subatomic levels.
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