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uysha [10]
2 years ago
11

The builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days. Tax on building mate

rials is 5%. What is the total bill including discounts and taxes?

Mathematics
1 answer:
erastova [34]2 years ago
5 0

Answer:

$1340.49

Step-by-step explanation:

From the attached image

Subtotal Cost of Purchased Items

= (20  \times 16.69)+(2 \times 20.78)+(2  \times 15.58)+(6  \times 21.38)\\+(118  \times 6.60)+(500  \times 0.22)+(10  \times 8.44)+(1  \times 150)\\\\=\$1658

Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.

Discount = 23% of $1658 = 0.23 X 1658 =$381.34

Total (Less Discount) = 1658-381.34 = $1276.66

Tax on building materials is 5%.

Therefore:

Tax = 5% of $1276.66=0.05 X 1276.66

Tax=$63.83

Therefore, the total bill:

=$1276.66+63.83

Grand Total =$1340.49

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Suppose the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations. Th
madreJ [45]

Answer:

<em>H₀</em>: <em>μ</em>₁ = <em>μ</em>₂ vs, <em>Hₐ</em>: <em>μ</em>₁ > <em>μ</em>₂.

Step-by-step explanation:

A two-sample <em>z</em>-test can be performed to determine whether the claim made by the owner of pier 1 is correct or not.

It is provided that the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations.

The hypothesis to test whether the average weights of the fish in pier 1 is more than pier 2 is as follows:

<em>H₀</em>: The weights of fish in pier 1 is same as the weights of fish in pier 2, i.e. <em>μ</em>₁ = <em>μ</em>₂.

<em>Hₐ</em>: The weights of fish in pier 1 is greater than the weights of fish in pier 2, i.e. <em>μ</em>₁ > <em>μ</em>₂.

The significance level of the test is:

<em>α</em> = 0.05.

The test is defined as:

z=\frac{(\bar x_{1}-\bar x_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}}}

The decision rule for the test is:

If the <em>p</em>-value of the test is less than the significance level of 0.05 then the null hypothesis will be rejected and vice-versa.

6 0
2 years ago
Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar
bogdanovich [222]

Answer:

sorry but it is wrong the answer is 1,200

Step-by-step explanation:


8 0
2 years ago
Read 2 more answers
A mountaineer climbed 1,000 feet at a rate of x feet per hour. He climbed an additional 5,000 feet at a different rate. This rat
yKpoI14uk [10]
Your question asks for an expression, so you would expect an answer in the form of an equation containing variables. This is because you have only 2 independent equations with 3 unknowns. That makes the system unsolvable. 

Suppose v₁ is the mountaineer's velocity during the 1,000-foot trail. Then, v₂ is his speed for the 5,000-foot trail. The equation relating these two variables is:

v₂ = 2v₁ - 10 ---> equation 1

Then, you find the equation for the total number of hours he climbed. That would be the distance divided by their respective speed.

t = 1000/v₁ + 5000/v₂ ----> equation 2

Substituting equation 1 to equation 2,

t = 1000/v₁ + 5000/(2v₁ - 10)
t = 1000/v₁ + 5000/2(v₁-5)
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3 0
2 years ago
A school graduation class wants to hire buses and vans for a trip to Jasper National Park. Each bus
BARSIC [14]
Let the school hire x buses and y vans.

A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.

The number of students riding in  buses and vans is at least 400, therefore
40x + 8y ≥ 400          (1)

The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36                (2)

Write (1) and (2) as
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y ≤ 36 - 3x                 (4)

The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
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x = 7   =>  y = 36 - 3*7 = 15

A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.

The minimum cost of renting buses and vans is
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Answer: The minimum cost is $9,900

6 0
2 years ago
How do you write 125.06 million dollars in at least four different ways.
Ludmilka [50]
$125,060,000

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I mean 125.06 in fraction form is 6253/50, if that works great.

125.06 million dollars, if you can use the number in the question.
5 0
2 years ago
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