Please help geometry problems

Kristen needs to earn $320 in commission this week. She earns 8%

muminat

She needs to sell $4,000 worth of merchandise.

If she needs to earn $320, and she earns 8% commission, you’re looking for what 8% of original amount equals $320.

X = original amount
8% = .08
$320 = amount needed

X * .08 = $320.
X = $320/.08
X= $4,000

Kristen needs to sell $4,000 worth of merchandise at an 8% commission rate to earn $320.

3 0

3 years ago

Amtrak s annual passenger revenue for the years 1980 2000 is modeled approximately by the formula R = -40 |x - 11| + 990 where R

Alecsey [184]

Answer:

Step-by-step explanation:

Given, Annual passenger revenue for the years 1980 to 2000 id=s modeled with the formula $R=-40|x-11|+990$ .

Here, $R$ is the annual revenue in millions of dollars, $x$ is the number of years since January 1, 1980.

Revenue in a year was $ 790 million.

So, $R=790\\-40|x-11|+990=790\\40|x-11|=200\\|x-11|=5\\x-11=5\text{ (or) }x-11=-5\\x=16\text{ (or) }x=6$

So, after 6 yrs and 16 yrs from January 1, 1980, the Passenger revenue equals $ 790 million.

∴ Passenger revenue equals $ 790 million in 1986 and 1996.

3 0

3 years ago

. Distribute the among the atoms, giving ( for hydrogen) to as many atoms as possible. First get electrons atoms, then atoms.

KatRina [158]

Answer:

Bonding theories predict

Step-by-step explanation:

how atoms bond together to form compounds. They predict what combinations of atoms form compounds and what combinations do not. Bonding theories explain the shapes of molecules, which in turn determine many of their physical and chemical properties

6 0

2 years ago

Erica plotted the three towns closest to her house on a graph with town AA at (9, 12), town BB at (9, 7) and town CC at (1, 1).

Sliva [168]

To compute the distance between the points, we can apply the distance formula as shown below.

$d = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2} }$

In which x₁ and x₂ are the x-coordinates and y₁ and y₂ are the y-coordinates of the two points. Thus, applying this with the segments AABB, AACC, and BBCC, we have

$\overline{AABB} = \sqrt{(9-9)^{2} + (12-7)^{2}} = 5$
$\overline{AACC} = \sqrt{(9-1)^{2} + (12-1)^{2}} = \sqrt{185}$
$\overline{BBCC} = \sqrt{(9-1)^{2} + (7-1)^{2}} = 10$

Now that we have the lengths of all the sides of ΔAABBCC, we can find the missing angles using the Law of Cosines.

Generally, we have

$c^{2} = a^{2} + b^{2} - 2abcosC$

or

$C = cos^{-1} (\frac{a^{2} + b^{2} - c^{2}}{2ab})$

Hence, we have

$\angle AA = cos^{-1} (\frac{(\sqrt{185})^{2} + 5^{2} - 10^{2}}{2(5)(\sqrt185)})$
$\angle BB= cos^{-1} (\frac{5^{2} + 10^{2} - (\sqrt{185})^{2}}{2(5)(10)})$
$\angle CC= cos^{-1} (\frac{10^{2} + (\sqrt{185})^{2} - 5^{2}}{2(5)(\sqrt{185})})$

Simplifying this, we have

$\angle AA = 36.03^{0}$
$\angle BB = 126.87^{0}$
$\angle CC = 17.10^{0}$

Thus, from this, we can arrange the angles from smallest to largest: ∠CC, ∠AA, and ∠BB.

Answer: ∠CC, ∠AA, and ∠BB

3 0

3 years ago

-6/5k=12 what is k? please explain

pentagon [3]

Answer:.......

Step-by-step explanation:

3 0

4 years ago

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