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Vlad1618 [11]
3 years ago
14

Jerry King is a server in a restaurant that pays a salary of $43 per day. He also averages tips of 18% of his total gross food o

rders. Last week he worked 4 days and had total food orders of $2,312.5. What was his total gross pay for the week? Round intermediate calculations and final answer to the nearest cent 416.25
Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

His total gross pay for the week is $588.25.

Step-by-step explanation:

Consider the provided information.

Jarry has a salary of $43 per day and he worked for 4 days.

Thus, the salary of 4 days is:

4 × $43= $172

The average tips is 18% of his total gross food orders.

Last week he had total food orders of $2,312.5. Therefore, the total tips he received is:

2312.5 \times(\frac{18}{100})

2312.5 \times(0.18)

416.25

Total tips he received is $416.25.

His total gross pay for the week = The salary of 4 days + Total tips he received.

His total gross pay for the week = $172 + $416.25

His total gross pay for the week = $588.25

Hence, his total gross pay for the week is $588.25.

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Answer:

m = (f(4) - f(2)) / (4 - 2)

m = (24 - 10) / (4 - 2)

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m = 7

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3 years ago
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anzhelika [568]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

81^{x+1}+3^{4x}=246

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Rewrite equation: 3^{4\left(x+1\right)}+3^{4x}=246

3^{4\left(x+1\right)}=3^{4x}\times 3^4

3^{4x}\times 3^4+3^{4x}=246

Factor out 3^{4x}:

3^{4x}\left(3^4+1\right)=246

Divide both sides by (3^4+1):

\frac{3^{4x}\left(3^4+1\right)}{3^4+1}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{82}

3^{4x}=3

Anything to the power of 1 is itself. Hence,

4x=1\\

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4 years ago
In the diagram shown, AE 1/3AC and ED ll CB. Explain why df must be one-fourth length of CD
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The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.

<h3>What is the Angle Bisector Theorem?</h3>

The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.

Note that the angle that has been dissected here is ∠CBD. Thus,

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See the link below for more about Angle Bisector Theorem of the Triangle:

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a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Step-by-step explanation:

We will write the sample space of all options one by one.

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As the die has six sides numbered from 1 to six then the sample space will be:

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As the English language has 26 alphabets, the first initial can be any alphabet so the sample space will be all letters:

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So,

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b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Keywords: Sample Space, Probability

Learn more about sample space at:

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Answer:

148

Step-by-step explanation:

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