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SashulF [63]
3 years ago
8

Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) =

0.7p, where p is the original price of the bike. He also knows he has to pay 12% sale's tax on the bike. The price of the bike with tax is f(c) = 1.12c, where c is the sale price of the bike.
Determine the function that can be used to calculate the final price of Leo's bike by solving for f[c(p)].
f[c(p)] = 1.82cp
f[c(p)] = 1.82p
f[c(p)] = 0.784cp
f[c(p)] = 0.784p
Mathematics
2 answers:
laila [671]3 years ago
5 0
F[c(p)] = (1.12)(0.7p) = 0.784p

A single function should have a single variable.
lara [203]3 years ago
3 0

Answer: The answer would be f[c(p)] = (1.12)(0.7p) = 0.784p

Step-by-step explanation:

A single function should have a single variable.

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The probability that the digits display a palindrome = 19/240 Ans.

As we know the total no. of possible hours = 12

Total number of possible minutes= 60

Therefore, total no. of possible times that can be shown are = 12

Since total no. of Palindromes possible per hour for the nine hours 1 through 9 = 6

No. of palindromes per hour from 10 through 12 = 1

Therefore, total no of palindromes = (6*9) + 3 = 57

Probability that the digits display a palindrome = 57/720 = 19/240

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Step-by-step explanation:

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Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
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  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
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3 years ago
Laurie is designing a type of candy dispenser for use at grocery stores. When pressure is applied to a lever by the customer, ca
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Answer:

A function

Step-by-step explanation:

The question is needed, but with the statement it can be determined that this situation would be, if a relationship or function, or given the case of both or neither.

Let's first define what a relationship is, define that a single input can have more than one output, applied to the statement would be that if you apply the same force in two different situations, the amount of candy that comes out may be different.

On the contrary, in a function for each input there is an output, a possible result, which is what they tell us in the statement.

Therefore this situation is represented by a function.

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