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m_a_m_a [10]
3 years ago
11

List three real-world examples that can be modeled with a sinusoidal function.

Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

A sinusoidal function is like a sine function and it has few real life usages.

Step-by-step explanation:

1.The periodic rotations of a crankshaft in an engine.

2. The rotation of a Ferris wheel.

3. The fluctuating hours of daylight in a specific location throughout a calendar year

The sinusoidal wave is a curve that describes a smooth repetitive oscillation. In these 3 examples, we can plot the movement of the object in a graph paper and we will see a sine wave. That's why these are the real life example of sinusoidal wave.

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A total of $6000 was invested, part of it at 3% interest and the remainder at 8%. If the total yearly interest amounted to $380,
Nastasia [14]

$ 2000 is invested at 3 % interest and $ 4000 is invested at 8 % interest

<em><u>Solution:</u></em>

Given that, total of $6000 was invested

Let "x" be the amount invested at 3 % interest

Then, (6000 - x) is the amount invested at 8 % interest

Given that,

<em><u>The total yearly interest amounted to $380</u></em>

Then, we can frame a equation as:

x \times 3 \% + (6000 - x) \times 8 \% = 380

<em><u>Solve the above expression for "x"</u></em>

x \times \frac{3}{100} + (6000-x) \times \frac{8}{100} = 380\\\\0.03x + (6000-x) \times 0.08 = 380\\\\0.03x + 480 - 0.08x = 380\\\\-0.05x = -100\\\\\text{Divide both sides by -0.05 }\\\\x = 2000

Thus, $ 2000 is invested at 3 % interest

(6000 - x) = 6000 - 2000 = 4000

$ 4000 is invested at 8 % interest

4 0
4 years ago
a plumer charged x dollars per hour for a 3-hour job plus $125 for parts. the total charge for the service call was $305. which
marysya [2.9K]

Answer:

$60.00 /h

Step-by-step explanation:

y = mx + b

y, is the total charge

m, is the amount of money charged/h

x, is the number of hours

b, is the fixed rate

305 =m3 + 125

305-125 = m3

180/3 = m3/3

[60 = m]


6 0
4 years ago
Can someone solve this for me?
kaheart [24]

Answer:

I don't know what it's asking but it could be 80

Step-by-step explanation:

7 0
3 years ago
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Factor the following trinomial: x2 + 8x + 15.
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(x + 3) (x + 5)

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