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3 years ago

Kyle is a satellite radio sales representative. He receives 7% commission on all sales. If

Mathematics

1 answer:

nikklg [1K]3 years ago

8 0

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

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I'm not sure where to start and how to differentiate this.

Mazyrski [523]

The picture is not clear. let me assume y = (x^4)ln(x^3)

product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)

dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)

look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)

end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]

5 0

3 years ago

The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?

solmaris [256]

Answer:

Dividend

$=x^4 + 5 x^3 - 3 x - 15$

Divisor

$=x^3-3$

The rule of division of polynomial which is same as division of real numbers states that

Dividend = Divisor × Quotient + Remainder

The division process is shown below.

Quotient = x+5

Remainder =0

3 0

4 years ago

Read 2 more answers

Find the surface area of the prism below. See attachment, 58 cm is incorrect.

Masja [62]

Answer:

Surface area of the given figure = 48 cm^2

Step-by-step explanation:

Surface area is nothing area of all the sides.

We can find the area of each figure add them together.

There are two triangles with the same measures.

One rectangle with measure of 4 by 3.

Another rectangle with the measure of 5 by 3.

One square with the measure of 3.

Surface area = Area of two triangles + rectangle 1 + rectangle 2 + square

Formulas:

Area of the triangle = 1/2 base* height

Area of the rectangle = length * width

Area of the square = side x side

Applying the formula, we get

=2[1/2 (3*4)] + 4*3 + 5*3 + 3^2

= 12 + 12 + 15 + 9

Surface area of the given figure = 48 cm^2

Hope this will helpful.

Thank you.

3 0

3 years ago

Read 2 more answers

Learning Task 4. Solve the problem by applying the sum and product of roots

Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

$x^2+bx+c=0$

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

$x^2-18x+80=0$