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3 years ago

PLEASE HELP! I HAVE BEEN AT THIS FOR A LONG TIME!.

Mathematics

1 answer:

tatuchka [14]3 years ago

6 0

Answer:

Annual payment wil be 2,001 and total amount after compounded annually will be 27,001

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Need help factoring this binomial: x^4-1?

natima [27]

Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.

We have:

(x^2+1)(x^2-1)=x^4-1

In addition:

(x-1)(x+1)=x^2-1, so we have:

(x^2+1)(x+1)(x-1)

As our complete factorization.

5 0

3 years ago

Read 2 more answers

PLEASE HHELP!!! Bring the fraction:

Anna35 [415]

Answer:

$\frac{b}{7a^2c} = \frac{5abc^2}{35a^3c^3}$

$\frac{a}{a - 4} = \frac{-a^2 - 4a}{16 -a^2}$

Step-by-step explanation:

Given

$\frac{b}{7a^2c}$

Express the denominator as $35a^3c^3$

To do this, we divide $35a^3c^3$ by the denominator

$\frac{35a^3c^3}{7a^2c} = 5ac^2$

So, the required fraction is:

$\frac{b}{7a^2c} * \frac{5ac^2}{5ac^2}$

$\frac{5abc^2}{35a^3c^3}$

Hence:

$\frac{b}{7a^2c} = \frac{5abc^2}{35a^3c^3}$

Given

$\frac{a}{a - 4}$

Express the denominator as $16 - a^2$

Multiply the fraction a+4/a+4

So, we have:

$\frac{a}{a - 4} * \frac{(a + 4)}{(a + 4)}$

Apply difference of two squares to the denominator

$\frac{a^2 + 4a}{a^2 - 16}$

Take the additive inverse of the numerator and denominator

$\frac{-(a^2 + 4a)}{-(a^2 - 16)}$

$\frac{-a^2 - 4a}{16 -a^2}$

Hence:

$\frac{a}{a - 4} = \frac{-a^2 - 4a}{16 -a^2}$

8 0

3 years ago

Consider the following survey question: "Most Americans consider a cell phone to be a necessity. Do you agree?" This is an examp

ioda

Answer:leading Question

Step-by-step explanation:

Leading Question is the type of question that implicitly encourages a respondent to answer in a particular way. Leading questions are generally inappropriate as they lead to false and slanted information.

for example: If you ask an employee that "Do you have any Problem with your boss?"

This questions explicitly encourages the employee to think that there are Problems.

Another example is that

"How fast is truck moving when it crashed into the car?"

This question directly blames the truck that it is at fault.

Similarly, the above question indicates that all Americans must possess cell phones

5 0

3 years ago

Sherwood has a square flower garden

almond37 [142]

Answer:

9 times

Step-by-step explanation:

3 × 3 = 9

172 ÷ 9 = 9 and 1/9

so she can only fertilize the garden 9 times

7 0

3 years ago

Find the radius of convergence and the internval of convergence:

o-na [289]

You can use the root test here. The series will converge if

$L=\displaystyle\lim_{n\to\infty}\sqrt[n]{\frac{(4-x)^n}{4^n+9^n}}$

You have

$L=\displaystyle\lim_{n\to\infty}\sqrt[n]{\frac{(4-x)^n}{4^n+9^n}}=|4-x|\lim_{n\to\infty}\frac1{\sqrt[n]{4^n+9^n}}$

Notice that

$\dfrac1{\sqrt[n]{4^n+9^n}}=\dfrac1{\sqrt[n]{9^n}\sqrt[n]{1+\left(\frac49\right)^n}}=\dfrac1{9\sqrt[n]{1+\left(\frac49\right)^n}}$

so as $n\to\infty$ , you have $\left(\dfrac49\right)^n\to0$ , which means you end up with

$L=\dfrac{|4x-1|}9$

This is the interval of convergence. The radius of convergence can be determined by finding the half-length of the interval, or by solving the inequality in terms of $|x-c|$ so that $R$ is the ROC. You get

$|4x-1|$

5 0

3 years ago