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4 years ago

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

Pachacha [2.7K]

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

4 0

3 years ago

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

Anarel [89]

Answer:

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.

$H_0: \pi = 0.5$

Step-by-step explanation:

He wants to test the claim that the proportion of private schools that have avenues for professors to apply for tenure is significantly higher than 0.5, as happen with the public schools.

Then, the alternative hypothesis is:

$H_a: \pi >0.5$

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

$H_0: \pi = 0.5$

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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4 years ago

Myrtle Air Express decided to offer direct service from Cleveland to Myrtle Beach. Management must decide between a full-price s

Romashka-Z-Leto [24]

here i attached the answer

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3 years ago

How many solutions are there to a cubed root problem

Gelneren [198K]

Answer:

Cubic equations, which are polynomial equations of the third degree (meaning the highest power of the unknown is 3) can always be solved for their three solutions in terms of cube roots and square roots (although simpler expressions only in terms of square roots exist for all three solutions

Step-by-step explanation:

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3 years ago

Write anAlgebraic expression-

Scilla [17]

Answer:

headboard ud. He. I’d Vic if joe

Step-by-step explanation:

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3 years ago