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Anna35 [415]
3 years ago
12

sandra brown works as a beautician. she earns $1 commission for the first 50 haircuts and a $1.50 for all haircuts over 50. in a

ddition, she recievs a base salary of $250 per week.if she performs 72 haircuts, what is her total pay for the week
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

Total Pay of Sandra for the week is $333.

Step-by-step explanation:

Given:

Base salary of Sandra = $250

Commission for each haircuts = $1

Commission for 50 haircuts = money as commission for 50 haircuts.

We will use unitary method to find the same;

Amount of Money as commission for 50 haircuts  = \$1\times 50 = \$50

Also Given:

Commission for each haircuts above 50 = $1.5

Number of Haircuts = 72 = 50 + 22

Hence there are 22 haircuts above 50

Amount of Money as commission for 22 haircuts  = \$1.5\times 22 = \$33

We need to find the Total pay of Sandra for the week.

Total pay of Sandra = Base salary of Sandra + Amount of Money as commission for 50 haircuts + Amount of Money as commission for 22 haircuts

Total pay of Sandra = \$250+\$50+\$33 = \$333

Hence Total Pay of Sandra for the week is $333.

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12^13–12^12+12^11 is divisible by 7 and 19.
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Answer:

The statement is true

Step-by-step explanation:

The question is as following :

12^{13}-12^{12}+12^{11} is divisible by 7 and 19, true or false?

The given expression is 12^{13}-12^{12}+12^{11}

Take 12^{11} as a common

12^{13}-12^{12}+12^{11} = 12^{11}*(12^2-12^1+12^0)\\= 12^{11} *(144-12+1)\\=12^{11} * 133\\= 12^{11} * 7 * 19

So, 12^{11} * 7 * 19 divided 7 = 12^{11} * 19

And 12^{11} * 7 * 19 divided 19 = 12^{11} * 7

12^{13}-12^{12}+12^{11} is divisible by 7 and 19 (<u>True</u>)

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Answer:

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Step-by-step explanation:

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A restaurant menu has five kinds of soups, seven kinds of main courses, six kinds of desserts, and five kinds of drinks. If a cu
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Answer: 1050

Step-by-step explanation:

Number of combinations of selecting r things out of n = ^nC_r=\dfrac{n!}{r!(n-r)!}

such that ^nC_1=n

Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.

If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = ^5C_1\times \ ^7C_1\times\ ^6C_1\times\ ^5C_1 =5\times7\times6\times5=1050

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