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4 years ago

(1/9,-2 and slope is m=3

Mathematics

1 answer:

Sladkaya [172]4 years ago

5 0

Answer:

y+2=3(x-1/9)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=3(x-1/9)

y+2=3(x-1/9)

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Cynthia, a resident of Ottawa, earns $41,875 annually. If the Canadian government levies an income tax of 18. 6% on Cynthia’s ta

a_sh-v [17]

The total amount of annual take-home pay of Cynthia is $34,086.25

<h3>What is income tax?</h3>

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Cynthia earns $41,875 annually.

If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.

It can be calculated as

41,875 × 18.6%

41,875 × 18.6/100 = 7,788.75

The annual take-home pay

41,875 - 7,788.75 = $34,086.25

Thus, The total amount of annual take-home pay is $34,086.25.

Learn more about income tax;

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5 0

2 years ago

Read 2 more answers

A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these ho

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of $^8C_3$ possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

$P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }$

$P(S) = \dfrac{21}{56}$

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

5 0

2 years ago

Find the total weekly earnings for a waitress with a weekly salary of $275 plus a 5% commission on dibners,if totalnworth of the

Citrus2011 [14]

The weekly earning for the waitress is $475.

Step-by-step explanation:

Weekly salary = $275

Commission = 5%

Worth of dinners served = $4000.00

Amount of commission = 5% of worth of dinners served

$Amount\ of\ commission=\frac{5}{100}*4000.00\\Amount\ of\ commission=0.05*4000.00\\Amount\ of\ commission=\$200$

Total earned = Weekly salary + Amount of commission

Total earned = $275+200=\$475$

The weekly earning for the waitress is $475.

Keywords: percentage, commission

Learn more about percentages at:

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7 0

3 years ago

3475 milliliters to liters

kirill115 [55]

3.475
hope this helps!!

3 0

3 years ago

Read 2 more answers

How do I find the exact product of 379 & 8?

xxMikexx [17]

Product means the result you get after multiplying. So you have to multiply the two numbers. 379*8 = 3032

5 0

3 years ago