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aleksklad [387]
3 years ago
7

After working 10 years as a bus driver, Izabel Antocicco was in an accident and became permanently disabled. She was 63 years ol

d at the time and was planning to retire on her 65th birthday. Her final salary was $55,700 per year. Her rate of benefits was 4.5%. What is her monthly disability benefit?
A. $2,506.50

B. $3,458.90

C. $3,508.11

D. $6,458.22
Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

A. $2,506.50

Step-by-step explanation:

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This figure is made up of a quadrilateral and a semicircle.
Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of AB is

AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}

The length of AD is

AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}

Since AB=AD, therefore ABCD is a square. The area of the of square is

A_1=a\times a=\sqrt{29}\times \sqrt{29} =29

The area of square is 29 units².

The area of a semicircle is

A_2=\frac{\pi}{2}r^2

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

r=\frac{d}{2}=\frac{\sqrt{29}}{2}

The area of the semicircle is

A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825

The area of the figure is

A=A_1+A_2=29+11.2825=40.3825\approx 40.4

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0
3 years ago
Math question, please help!
valkas [14]
The answer is a

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a
a
a
a
a
a
a
a
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8 0
3 years ago
Amanda uses 1/3 of a cup of milk each time she makes a batch of pancakes. How manybbatches can she make if she only has 11/22 of
kow [346]

Answer:

<u>Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.</u>

Step-by-step explanation:

1. Let's review the information given to us for answering the question correctly:

Amount of milk Amanda use for a batch of pancakes = 1/3 cup

2. How many batches can she make if she only has 11/22 of a cup of milk left?

Let's simplify 11/22, dividing by 11 the numerator and the denominator,

11/22 = 1/2

Now, using the Rule of Three Simple, we can calculate the answer to this question, this way:

Number of batches = (1/2 * 1)/1/3

Number of batches = 1/2 / 1/3

Number of batches = 1/2 * 3/1 (Taking the reciprocal)

Number of batches = 3/2 = 1.5

<u>Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.</u>

4 0
3 years ago
What is the area of the trapezoid with height 10 units?
Ainat [17]
Ya but I think its like 40 hope this helps
5 0
3 years ago
Read 2 more answers
What is the slope, point, x-intercept, and y-intercept?
IceJOKER [234]
X-int =(-3,0)
Y-int=(0,_1)
Slope: _1/3
5 0
3 years ago
Read 2 more answers
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