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3 years ago

By definition, present value is

Mathematics

1 answer:

MArishka [77]3 years ago

8 0

Answer:

$future \: value \: minus \: interest$

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suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet

Rom4ik [11]

Answer:

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

Low tide occurs at 6 a.m and 6 p.m

5 0

3 years ago

Please Help........................................................

larisa [96]

$2(n-5)\geq2n+10\\2n-10\geq2n+10\\-10\geq 10\\n\in\emptyset$

8 0

3 years ago

Which is the equation of a line parallel to the line with equation y = 3x - 4

mash [69]

Answer:

C. 3x - y = -2

Step-by-step explanation:

We know that lines with the same slope are usually parallel

3x - y = -2

-y = -3x - 2

y = 3x + 2

They have the same slope so we can assume that they're parallel

You can also graph to check this

5 0

3 years ago

PLEASE HELP! What is the approximate area of the shaded region? use 3.14 for Pi

tiny-mole [99]

Answer:

A. 16.86 square inches

Step-by-step explanation:

Area of Circle = $\pi r^2$ , where r = radius.

Area of Rectangle = $l * w$ , where l = length and w = width.

We are given the radius of the circle as 1, and we use π as 3.14

$3.14*1^2$
$3.14*1$
$3.14$

Next, we find the area of the rectangle.

$5*4$
$20$

Lastly, we subtract 3.14 from 20.

$16.86$

Therefore, the answer is A. 16.86 square inches.

6 0

3 years ago

Read 2 more answers

Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?

Anvisha [2.4K]

Answer:

Dilate by a scale factor of 0.5 with the origin as the center of dilation.

Rotate 90° clockwise about the origin

Step-by-step explanation:

Polygon ABCD:

A = (-2, 4)
B = (-8, 2)
C = (-4, 8)
D = (-2, 6)

Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).

This means multiply the x and y values of the points by 0.5:

A → (-1, 2)

B → (-4, 1)

C → (-2, 4)

D → (-1, 3)

Rotate 90° clockwise about the origin: (x, y) → (-y, x)

A' = (-2, 1)

B' = (-1, 4)

C' = (-4, 2)

D' = (-3, 1)

So the transformations are:

Dilate by a scale factor of 0.5 with the origin as the center of dilation.
Rotate 90° clockwise about the origin.

3 0

2 years ago