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worty [1.4K]
3 years ago
13

Alycia created a personal budget for the upcoming month. She received a salary of $2,700 and had various fixed and variable expe

nses. Her employer took out 10% of her salary for taxes. Her fixed expenses (rent and monthly bills) were $1,161. She saved $405 for her daughter's college tuition. The remainder of her money was spent on entertainment and food. What percent of her income was spent on entertainment and food? A. 43% B. 37% C. 32% D. 15%
Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

C. 32%

Step-by-step explanation:

First, you have to determine the amount they spent on entertainment and food:

Salary $2,700

Taxes: 10%: $270

Fixed expenses: $1,161

Savings: $405

$2,700-$270-$1,161-$405= $864

Alycia spent $864 on entertainment and food. Now, you have to find the percent of her income that this amount represents:

($864/$2,700)*100= 32%

According to this, the answer is that the percent of her income that was spent on entertainment and food is 32%.

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To complete this component you will need to insert parentheses in Expression 2 to change the order of operations so the expressi
Alika [10]

Given:

The expression is 5+4\times 2+6-2\times 2-1.

To find:

The position of parentheses inserted in the expression to get the value 19

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We have,

5+4\times 2+6-2\times 2-1

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(5+4)\times 2+6-2\times 2-1=9\times 2+6-4-1

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6 0
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PLS HELP
Anika [276]

The chairs in the auditorium illustrates an arithmetic sequence

  • The recursive rule is:  an = an-1 + 8; a1 = 26
  • The explicit rule is:  an = 18 + 8n
  • There are 74 seats in the 7th row
  • 840 chairs can fit the auditorium

<h3>The recursive rule</h3>

From the question, we have the following sequence:

Seats: 18, 26, 34

Rewrite as:

26 = 18 + 8

34 = 26 + 8

The above means that:

The number of seats on a row is 8 added to the the number of seats on the previous row.

Hence, the recursive rule is:

an = an-1 + 8; a1 = 26

<h3>The explicit rule</h3>

In (a), we have:

a1 = 26 and d = 8

The explicit rule is calculated using:

an = a1 + (n -1) * d

This gives

an = 26 + (n - 1) * 8

Expand

an = 26 - 8 + 8n

Evaluate the difference

an = 18 + 8n

Hence, the explicit rule is:

an = 18 + 8n

<h3>The number of seats in the row 7</h3>

This means that n = 7.

So, we  have:

a7 = 18 + 8 * 7 = 74

Hence, there are 74 seats in the 7th row

<h3>The sigma notation</h3>

We have the maximum number of rows to be 12.

So, the sigma notation would be:

\sum\limits^{12}_{n=1} {18 + 8n}

The total number of seats is:

Sn = n/2(2a + (n -1) * d)

This gives

S12 = 12/2(2 * 26 + (12 -1) * 8)

S12 = 840

Hence, 840 chairs can fit the auditorium

Read more about arithmetic sequence at:

brainly.com/question/6561461

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