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fomenos
3 years ago
14

Explanation and answer please :)

Mathematics
1 answer:
puteri [66]3 years ago
7 0

Step-by-step explanation:

You use the I = PRN formula

P = 11 500

R = 7.25% but you have to 7.25 divide by 100 so it becomes a decimal so it should be 0.0725

N = 2 years and 6 months. This can be 2.5 years because half of 12 is 6

the solution is 11 500 × 0.0725 × 2.5 = 2084.38

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Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO tan 65 = \frac{h}{45-x} = 2.14

h=2.14(45-x)

From ΔBCO tan80 = \frac{h}{x} = 5.67

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore cos80 = \frac{x}{OB}

0.174 = \frac{12.33}{OB}

OB = \frac{12.33}{.174}=70.86=71ft.

Therefore 71 ft is the distance between B and the top of the hill.

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3 years ago
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The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.

<u>Step-by-step explanation:</u>

  • The equation for the maximum speed, s is given by s²= (16/9)x
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It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.

The question is asked to find the maximum speed when the length of the water is 30 feet.

Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.

<u>Now, calculating the maximum speed :</u>

s² = (16/9)(30)

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s² = 53.3

Taking square root on both sides,

s = √53.3

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