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3 years ago

A sandman earns a commission of 26%. One week he had sales of $24400. Find the commission for the week.

Mathematics

1 answer:

prisoha [69]3 years ago

3 0

Answer:

6344

Step-by-step explanation:

Find 26% of 24400

24400 * 26%

24400 * .26

6344

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Yasir designs bracelets. He uses between 9 and 15 red and yellow beads in a ratio of 2 red beads to 5 yellow beads. Drag the bea

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You should place 4 red beads and 10 yellow beads into the container. This satisfies both, the ratio and the amount of beads in each container

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3 years ago

A circular mirror has a circumference of 30 pi inches. What is the area of mirror?

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

circumference = 2πr

2πr = 30π inches

$r=\frac{30\pi}{2\pi}=15in$

Area = πr² = π*15*15 = 225π square inches

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3 years ago

Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no loca

nataly862011 [7]

Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

Then x0 is a maxima, minima or an inflection point.

Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1 - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

1/k = sin(k*x)

now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

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3 years ago

A is plotted on a coordinate grid at start bracket 3 and 1 over 2, negative 1 end bracket.. Choose the correct grid that best sh

dalvyx [7]

Answer:

A coordinate grid that shows a point located halfway between 3 and 4 units to the right and 1 unit down from the origin

Step-by-step explanation:

In a coordinate grid, the y axis is plotted on the vertical axis and the x axis is plotted on the horizontal axis. A is plotted on a coordinate grid at ( $3\frac{1}{2},-1$ ) i.e ( $\frac{7}{2},-1$ ). Above the origin is the positive y axis, below the origin is the negative y axis, right of the origin is the positive x axis and left of the origin is the negative x axis.

To plot A on the coordinate axis we need to locate $3\frac{1}{2}$ on the x axis and -1 on the y axis. $3\frac{1}{2}$ is halfway between 3 and 4, since the x coordinate is positive it is located to the right between 3 and 4 and since the y coordinate is negative it is located 1 unit down from the origin.