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Semenov [28]
3 years ago
13

15. A city's sales tax is 0.07. Write this decimal as a fraction and tell how many cents of tax are on each dollar.

Mathematics
1 answer:
jeyben [28]3 years ago
6 0
The fraction would be 7/100 and there is 7 cents of tax per dollar.
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In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of
ella [17]

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at brainly.com/question/24808124

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6 0
2 years ago
Edison, Pedro and Karl ran a 5K race. Pedro finished two minutes before Karl. Karl finished one minute before Edison. Therefore,
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Determine the domain of the graph shown.<br> [0, 8]<br> [0, 24]<br> [0, 20]<br><br> [0, 10]
Luda [366]

Answer:

Step-by-step explanation:

0,20

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Can you guys help me :/
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3 years ago
4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the
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Using geometric sequence concepts, it is found that:

a) The rule is: P_n = 750000(0.5)^{n-1}.

b) An exponential relationship exists between the two variables.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

a_1 = 750000, q = 0.5.

Hence the nth term of the sequence is given by:

P_n = 750000(0.5)^{n-1}

More can be learned about geometric sequence concepts at brainly.com/question/11847927

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