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FromTheMoon [43]
3 years ago
6

Jasmine bought a game system that cost $299 before tax. The total including sales tax was 1.07 times the price. A discount was t

hen applied by multiplying the total price by 0.90. What was the total cost of the game system including the sales tax and discount?
Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Given :

Cost , c = $299 .

The total including sales tax was 1.07 times the price.

A discount was then applied by multiplying the total price by 0.90.

To Find :

The total cost of the game system including the sales tax and discount.

Solution :

Cost after tax , c_1=c\times 1.07=299\times 1.07=\$319.93 .

Cost after discount , c_2=c_1\times 0.9=319.93\times 0.9= \$287.937 .

Therefore , the total cost of the game system including the sales tax and discount is $287.937 .

Hence , this is the required solution .

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<h3>Answer:  944 dollars for the week</h3>

============================================================

Explanation:

He sold $4950 worth of items. Take 12% of this amount to get

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So he earns $594 in commission on top of the $350 base salary paid every week. In total, he earns 594+350 = 944 dollars for that week

This isn't the per week pay because he would need to sell exactly $4950 worth of goods each week to keep this same weekly pay.

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Answer:

A statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign.

Step-by-step explanation:

A statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign.

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5 0
3 years ago
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6 0
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businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message
KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let <em>X</em> = number of text messages receive or send in an hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: \lambda=\frac{62.7}{24}= 2.6125.

The probability of a random variable can be computed using the formula:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

              = 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

             =1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0
3 years ago
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