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LuckyWell [14K]
3 years ago
12

Find the tax on a dinette set with a cash price of $200 that has been reduced by 20% if the tax rate is 6.5%.

Mathematics
2 answers:
Xelga [282]3 years ago
8 0
$200 - 20% savings equals $160 total price
Tax is 6.5%

160X.065 = $10.40 for tax
sashaice [31]3 years ago
8 0

Answer:

The correct option is B.

Step-by-step explanation:

The initial cash price is $200.

The cash price reduced by 20%.

20% of $200 is

200\times \frac{20}{100}=40

The cash reduced by $40.

The new cash price is

\$200-\$40=\$160

The tax rate is 6.5%.

6.5% of remaining cash is

160\times \frac{6.5}{100}=10.40

Therefore option B is correct.

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Given the system of equations, what is the solution? 5x - 4y = 7 x = 5 - 3/2 y
xenn [34]
The answer is A


You can solve this by equation the two equations, by substitution method or elimination. Let's choose the substitution since Equation 2 has already X isolated
-take the X in equation 2 and substitute in the first equation
So, You should have 5 (5-3/2 y) -4y =7
Get y ( I'll assume you know how to simplify and find y by yourself )
y=36/23
-Now take y and substitute it in the first equation or the second equation (it doesn't really matter)
Substituting y in Equation 2:
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So answer is A where (x,y) is (61/23, 36/23)
8 0
3 years ago
Read 2 more answers
An automobile insurance company divides customers into three categories, good risks, medium risks, and poor risks. Assume taht 7
scoray [572]

Answer:

a) the probability is P(G∩C) =0.0035 (0.35%)

b) the probability is P(C) =0.008 (0.8%)

c) the probability is P(G/C) = 0.4375 (43.75%)

Step-by-step explanation:

defining the event G= the customer is a good risk  , C= the customer fills a claim then using the theorem of Bayes for conditional probability

a) P(G∩C) = P(G)*P(C/G)

where

P(G∩C) = probability that the customer is a good risk and has filed a claim

P(C/G) = probability to fill a claim given that the customer is a good risk

replacing values

P(G∩C) = P(G)*P(C/G) = 0.70 * 0.005 = 0.0035 (0.35%)

b) for P(C)

P(C) = probability that the customer is a good risk *  probability to fill a claim given that the customer is a good risk + probability that the customer is a medium risk *  probability to fill a claim given that the customer is a medium risk +probability that the customer is a low risk *  probability to fill a claim given that the customer is a low risk =  0.70 * 0.005 + 0.2* 0.01 + 0.1 * 0.025

= 0.008 (0.8%)

therefore

P(C) =0.008 (0.8%)

c) using the theorem of Bayes:

P(G/C) =  P(G∩C) / P(C)

P(C/G) = probability that the customer is a good risk given that the customer has filled a claim

replacing values

P(G/C) =  P(G∩C) / P(C) = 0.0035 /0.008 = 0.4375 (43.75%)

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The answer to your question is 29.875
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