Given that lines b and c are parallel, select all that apply.
1 answer:
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Answer: the option C. c) 9x⁴– x³– ...
Explanation:
1) A polynomial of one variable is an expression of the kind:
2) The order of the polynomial is the highest exponent of the variable, this is n
3) When the expression has one term it is called a monomial, when the expression has two terms it is called a binomial, when the expression has 3 terms it is called a trinomial.
Usually expressions of that kind with two or more terms are referred as polynomial, but one term is referred as monomial.
4) For the given expressions you have:
a) 5x⁴: it is a monomial (one term), which is usually not referred as polynomial properly.
b) x⁵ – 6x⁴ + 14x³ + x²: it is a polynomial with degree 5 (the highest power).
c) 9x⁴– x³– ... : altough the expression is incomplete, assuming that the next terms are monomials with degree less than 4, then this is a polynomial with degree 4, and is the right answer choice.
d) 2x⁴ – 6x⁴: since both terms have the same power, they can be simplified into one term, - 4x⁴, and it is a monomial.
Answer:
Part 1)
Part 2)
Step-by-step explanation:
Part 1) we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Apply log both sides
solve for t
Part 2) we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Apply ln both sides