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3 years ago

Dane sold a television for $35,000.

Mathematics

1 answer:

ira [324]3 years ago

5 0

Answer:

Step-by-step explanation:

We can find the percentage of which he paid commission, by dividing the commision price by the television price:

1,750/35,000

This equates to 0.05.

In percentage form, this is 5%.

So the answer is that the commision fee is 5%.

Hope this helps!

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A members - only speaker series allows people to join for $7 and then pay $3 for every event attended. Write an equation in slop

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X equals 3 and y equals x

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3 years ago

Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

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3 years ago

Which shows a correct order to solve this story problem?

Naily [24]

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4 years ago

13. Write the equation of a horizontal line that passes through the point (3, -3).

Step2247 [10]

Answer:

O y = -3

Step-by-step explanation:

The line is horizontal.

x = -3 and x = 3 are vertical lines, so they are incorrect.

The line passes through (3, -3).

(x , y)

Put y as -3.

y = 3

(-3) = 3

Line y = 3 is incorrect.

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Line y = -3 is correct.

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3 years ago

Read 2 more answers

solve this system using a systems of equations. Discount Rental Cars charges a daily fee plus a mileage fee for renting its cars

kipiarov [429]

Answer:

Barney 145 3 Days 310 Miles

Mary 250 5 Days 600 Miles

A) 3 D + 310 M = 145

B) 5 D + 600 M = 250

Multiplying A) by -5/3

A) -5 D - 516.6666M = -241.66666666

B) 5D + 600M = 250

Adding A) and B)

83.3333 M = 8.3333333333

M = .10 per mile

3 D = 114

Daily Rate = 38 dollars per day

Step-by-step explanation:

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4 years ago