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mamaluj [8]
3 years ago
8

Jack bought 4 dozen eggs at $10 per dozen. 6 were broken. what percent of his money goes to waste

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

So, if he has 4 dozen eggs, ten dollars per dozen, he has spent $40 on 48 eggs. <em>This means the cost of one egg = 48/40. </em>This can simplify to <em>6/5 </em>which is equal to<em> $1.20. </em>This means the value of one egg is $1.20, including the broken ones! So if six were broken, we multiply 1.20 x 6 which equals <em>$7.20!</em>

Use this "formula" to help find percentages

<em>Part/Total = %( Percentage )/ 100</em>

Now that we know how much money has gone to waste, we can plug in the known values into this "formula."

<em>7.2/48 = x/100</em>

Solve accordingly; cross multiply, 720 = 48x; divide both sides of the equation by 48 to isolate the variable, 720/48 = 48x/48; now you have your final answer which is:

15 = x; going back to the "formula" this means 15% of his money has gone to waste. I hope this helped! :)

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Use the function notation to write a recursive formula to represent the sequence: 4, 8, 12, ...
melamori03 [73]

Answer:

The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

i.e. 4+4 = 8

     8+4 = 12

     12+4 = 16  and so on.

Since the next term is obtained by adding 4 to the previous term.

<em>So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, .... </em>

<em>Verification: </em>

<em>                 f(n) = f(n-1) + 4</em>

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

<em>                f(2) = f(2-1) + 4</em>

<em>                f(2) = f(1) + 4</em>

<em>                f(2) = 4 + 4</em>

<em>                f(2) = 8</em>

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

<em>                 f(3) = f(3-1) + 4</em>

<em>                 f(3) = f(2) + 4</em>

<em>So, adding 4 in f(2)=8 would give us the next term i.e. 12</em>

<em>                f(3) = 8 + 4</em>

<em>                 f(3) = 12</em>

<em />

Keywords: recursive formula, sequence

Learn more about using recursive formula from brainly.com/question/1851471

#learnwithBrainly<em> </em>

7 0
3 years ago
The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

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I hope this helps you

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