800 different sets of digits
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
The interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
<h3>How to interpret the points of intersection?</h3>
The graph of the two functions alongside their equations are the given parameters of this question
The functions are given as:
f(x) = 5x - x^2
g(x) = 3x - 0.5x^2
When the graphs of two curves or lines intersect on a coordinate plane, it means that the point of intersection represents where the graphs have equal value
In this case, it represents
f(x) = g(x)
Substitute the known values in the above equation
5x - x^2 = 3x - 0.5x^2
So, the interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
Read more about point of intersection at
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ANSWER: $ 912 .
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Explanation:
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75x + 12 = ?
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Substitute "12" for "x" ; to solve:
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75*(12) + 12 = 912 .
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Answer: $912.
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The unit rate is: 
chapters per hour
Step-by-step explanation:
Given
chapters read = 
Time = 
Unit rate is calculated by dividing the total chapters by total time
So,
Hence,
The unit rate is: chapters per hour
Keywords: Unit rate, fractions
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