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Kamila [148]
3 years ago
11

Aarav has 3250 followers on social media. His number of followers is increasing at a rate 3% per week. Which function represents

his number of followers each week?
Mathematics
1 answer:
sergeinik [125]3 years ago
3 0

Answer: f(w) = 3,250(1.03)W

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Followers: 3,250

Increase rate: 3% per week

So, if the followers increase by 0.03 (increase rate in decimal form : 3/100 = 0.03) per week, we have to multiply the number of followers by the number of weeks and the increase rate ( 1+ 0.03 = 1.03).

Mathematically speaking:

f(w) = 3,250(1.03)W

Where:

w = number of weeks

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Add 45 and 25 to get 70 rooms.
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If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

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\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

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3 years ago
determine the diameter to the nearest inch of a large can of tuna that has a volume 6068 inches and a height of 3.3 inches
anyanavicka [17]

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The diameter of can is<u> 48 inches</u>.

Step-by-step explanation:

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Volume of can = 6068 inches.

And height(h) = 3.3 inches.

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Diameter = 2 × radius

Let radius be r.

So, by putting the formula of volume we get the radius:

Volume =\pi r^2h

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<em>Dividing both sides by 10.362 we get:</em>

585.60=r^2

<em>Using square root on both sides we get</em>:

24.199=r

<em>Radius = 24.199 inches.</em>

Then, we get the diameter:

Diameter = 2 × radius

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The inequality that represents the domain of the function is \frac 12x - 10 \ge 0

<h3>How to determine the domain?</h3>

The function is given as:

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Read more about domain at:

brainly.com/question/1770447

#SPJ1

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