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3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP 67 points

Mathematics

1 answer:

ycow [4]3 years ago

4 0

If it didn't have that piece cut out on the bottom, it would be a rectangle that's 9cm wide and 5cm high. Its area would be 9x5= 45 cm².

But that piece is cut out of the bottom. The cut-out piece is 3cm wide and 3cm high, so its area is 3x3= 9 cm².

9 cm² have been cut out of the 45 cm² of the complete big rectangle. So the remaining area of the figure is 45 - 9 =<em> 36 cm²</em> .

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A circle has a circumference of 28 centimeters. If an arc subtends a central angle of 55 degrees, what is the arc length?

Harlamova29_29 [7]

Answer:

s = 4.28 cm (Answer A)

Step-by-step explanation:

1) The formula for the circumference of a circle of radius r is C = 2(pi)r, and this corresponds to a full circle, with central angle 360 degrees.

2) Here the circumference is 28 cm. Therefore, solving for the radius involves the following calculation: 28 cm = 2(pi)r, or

r = (28 cm) / (2 pi), or (28 cm) / 6.28 = 4.46 cm.

3) The arc length s = r(theta), when the central angle (theta) is 55 degrees, is (55/360) times the circumference of the circle: (55/360)(28 cm), or

s = 4.28 cm (Answer A)

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3 years ago

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You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.

Alinara [238K]

Answer:

a. $311,555.26

b. $500,000

c. $188,444.74

Step-by-step explanation:

The computation is shown below:

a. Here we have to determine the present value

Given that

PMT = $25,000

NPER = 20

RATE = 5%

FV = $0

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

after applying the above formula, the amount that need in the beginning is $311,555.26

b. The total money should be

= $25,000 × 20 years

= $500,000

c. The amount of interest is

= $500,000 - $311,555.26

= $188,444.74

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3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP *67 points*

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP 67 points