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Anton [14]
4 years ago
11

When dividing a polynomial by a binomial, what does the remainder tell you?

Mathematics
1 answer:
Helen [10]4 years ago
8 0

Answer:

the remainder is not just added to the quotient. it becomes the numerator of a fraction that is added to the quotient. the correct answer is x-3- the process works for dividing any polynomial

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The equation Upper A left parenthesis t right parenthesis equals 2000 e Superscript 0.055 t gives the balance after t years of a
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Answer:

a) Rate of change of amount

A'(t) =110e^{0.055t}

b) &170.79

c) 0.21

Step-by-step explanation:

We are given the following in the question:

The balance is given by the equation:

A(t) =- 2000e^{0.055t}

where t is the time in years and the initial investment is $2000 when compounded continuously.

a) Rate of change of amount

\dfrac{d(A(t))}{dt} = \dfrac{d}{dt}(2000e^{0.055t})\\\\\dfrac{d(A(t))}{dt} = 2000e^{0.055t}\times 0.055\\\\\dfrac{d(A(t))}{dt} =110e^{0.055t}

b) We have to find the value of A'(8)

A'(t) =110e^{0.055t}\\A'(8) = 110e^{0.055(8)} = 170.79

Interpretation:

The future value of 9 year investment of $2000 will be $170.79 more than the future value of 8 year investment.

c) Comparison

Approximation = $171

Actual change = $170.79

Difference =

\text{Approximation - Actual change}\\=171 - 170.79\\=0.21

Thus, the error is 0.21

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3 years ago
Academic tenure is when a teaching or research position is given to a professor indefinitely. By removing concerns about job sec
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Answer:

The correct null hypothesis in words is:

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The null hypothesis represents the opposite claim, where the proportion is not significantly higher than 0.5. Then, the null hypothesis is expressed as:

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The correct null hypothesis in words is:

D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.

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