Answer:
300
Step-by-step explanation:
Step 1:
460/115 = x/75 Equation
Step 2:
115x = 34,500 Multiply
Step 3:
x = 34,500 ÷ 115 Divide
Answer:
x = 300
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The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>
Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:
f(n) = a · bⁿ ⁻ ¹ (1)
Where:
- a - First element of geometric sequence
- b - Common ratio of the geometric sequence
- n - Element index within the geometric sequence
If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:
f(12) = 4 · 2¹² ⁻ ¹
f(12) = 4 · 2¹¹
f(12) = 4 · 2,048
f(12) = 4,096
The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
To learn more on geometric sequences: brainly.com/question/4617980
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Answer:
$14.23
Step-by-step explanation:
Multiply the original value by 1.035 to get your answer.
The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:
<h3>What is a piecewise function?</h3>
A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.
The given table of values and equation are plotted on a graph using MS Excel
From the graph, and the table created, we have:
When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts
When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee
When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us
The selection table is presented as follows:
Learn more about piecewise defined functions here:
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