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3 years ago

A salesperson works 40 hours per week at a job where

Mathematics

1 answer:

belka [17]3 years ago

8 0

Answer:

12,000 in sales

Step-by-step explanation:

$24/hour x 40 hours=960 salary

sales x commission rate =salary

sales x .08=960

sales =960/.08

sales=12,000

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

4 0

3 years ago

Which operation could we perform in order to find the number of milliseconds in a year? 60 * 60 * 24 * 7 * 365 1000 * 60 * 60 *

Tom [10]

Use the following abbreviations:
y = year,
d = day,
h = hour,
min = minute,
s = second,
ms = millisecond.

Then
$1 \, y = (1 \, y)*(365 \, \frac{d}{y} )*(24 \, \frac{h}{d} )*(60 \, \frac{min}{h} )*(60 \, \frac{s}{min} )*(1000 \, \frac{ms}{s} )$

Therefore, the correct calculation is
1000 * 60 * 60 * 24 * 365

Answer: 1000 * 60 * 60 * 24 * 365

4 0

3 years ago

What is this symbol called plz answer urgent

Svetlanka [38]

AB is congruent to AC that is ur Answer

5 0

3 years ago

Given the value of cos 20° ≈ 0.9397, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of

NARA [144]

cos(20) = sin(70)

note how 20+70 = 90

The general rule is that if x+y = 90, then cos(x) = sin(y). The rule works in reverse as well. Another way to phrase the rule is cos(x) = sin(90-x).

So,

$\cos 20^{\circ} = \boxed{\sin 70^{\circ}} \approx \boxed{0.9397}$

Note: if the computer doesn't like the answer of "sin 70" then try "sin(70)" and see how that works out. It's also possible that the teacher wants the single numeric value of "70" in the first box rather than the "sine" part to go along with it. Though that would be strange and incorrect since cos(20) = 70 is a false statement.

8 0

3 years ago

WILL MARK BRAINLIEST

SashulF [63]

Answer:

134

Step-by-step explanation:

3 0

3 years ago