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azamat
2 years ago
6

Sandra is a real estate agent and rams 5000 commission on the selling of a 62,000 house. what is the percent of commission she r

eceived
Mathematics
1 answer:
sveta [45]2 years ago
8 0
To find a percent, you use this simple formula:
5000/62000 = x/100

In this case, x is going to be your percent of commission.

So, to find this, you first divide 5000 by 62000, which is about equal to 0.08.

Now your equation looks like this:
0.08 = x/100

Next, you multiply both sides by 100 to reverse the operation. Now, your equation will look like this:

8 = x

So, the answer is 8%.
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One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al
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Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

  • First Sunday, a=1
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We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

6 0
2 years ago
Alice and Bill are planning to have three children. (Assume that it is equally likely for a boy or a girl to be born.) What is t
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Answer:

\frac{1}{8}

Step-by-step explanation:

Alice and Bill  are planning to have three children

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Sample space =S={BBB,BBG,BGB,GBB,GGG,GBG,GGB,BGG}

Total =8

Number of cases in which all three children are girls={GGG}

Probability,P(E)=\frac{number\;of\;favorable\;cases}{Total\;number\;of cases}

Using the formula

Then , the probability that all three of their children will be girls=\frac{1}{8}

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3 years ago
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