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Sunny_sXe [5.5K]
3 years ago
12

A saleswoman received $40 per day, plus a commission of 2% on all sales over $300 per week. What was her salary for a 5-day week

during which her sales amounted to $1260?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0
2 % = 2/100 = 0.02 
So her salary is broken down into two parts. 
The systematic part is $40 per day for 5 days, so 40*5. 
The changing part is 2% of weekly sales over 300, so 0.02(1260-300). 

Salary = 5*40 +0.02(1260-300)=$219.20
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\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:x = 16

____________________________________

\large \tt Solution  \: :

If two polygons are similar, their corresponding sides ratios will be equal to each other.

\qquad \tt \rightarrow \:  \cfrac{8}{16}  =  \cfrac{2x - 20}{24}

\qquad \tt \rightarrow \:  \cfrac{1}{2}  =  \cfrac{2x - 20}{24}

\qquad \tt \rightarrow \: 2x - 20 =  \cfrac{24}{2}

\qquad \tt \rightarrow \: 2x = 12 + 20

\qquad \tt \rightarrow \: 2x = 32

\qquad \tt \rightarrow \: x = 16

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2 years ago
What’s the probability of getting each card out of a deck?
VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

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g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

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c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

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d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

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e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

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f. There are 13 cards in clubs suit and there are 4 aces, therefore:

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P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

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