Answer:
$3.456
Step-by-step explanation:
34.56÷100x10
=3.456
$3.456 is 10% of $34.56
The polynomial to be subtracted is derived from the multiplication of the first term of the quotient and is given as: x³ + 2x²
<h3>What are polynomials?</h3>
Polynomials are mathematical expressions consisting of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division.
The long division is as follows:
(x³ + 3x² + x) ÷ x + 2
The first quotient will be x².
Multiplying (x + 2) and x² gives the polynomial to be subtracted from the dividend.
(x + 2)×(x²) = x³ + 2x²
Therefore, the polynomial to be subtracted is x³ + 2x².
Learn more about polynomials at: brainly.com/question/497625
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Answer: Let x = the length of a side of the square
a2 + b2 = c2
x2 + x2 = 102
2x2 = 100
x2 = 50
x = √50
x = 5√2 cm
Step-by-step explanation:
Answer:
see attached
Step-by-step explanation:
A spreadsheet is a useful tool for keeping track of the numbers. A picture of one is attached.
We have assumed that the dollar amount for housing computed in the first part remains the same (though the percentage changes). If that is not the case, you'll have to recompute.
Likewise, we assume that the "5%" retirement amount remains 5% of the nominal salary, rather than 5% of the salary after the mandatory retirement deduction. Similarly, we assume dance lessons remain at their original amount, and were not reduced when the company began taking mandatory retirement.
Feel free to build your own spreadsheet and recompute as needed for any assumptions I got wrong, or for any additional scenarios.