Simplify <br> √(8+2√15)<br><br> Please hurry

A social media website had 350,000 followers in 2010. The number y of followers

Zolol [24]

Answer:

a) $y(t) = 350(1.02)^t$

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

$y = y(0)(1+r)^t$

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: $y(0) = 350, r = 0.02$

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

$y(t) = 350(1 + 0.02)^t$

$y(t) = 350(1.02)^t$

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

$y(6) = 350(1.02)^6 = 394.2$

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

5 0

3 years ago

Casandra needs 2 meters of string for her kite how many centimeters of string does she need

inna [77]

Answer:

200 cm

Step-by-step explanation:

2*100= 200

4 0

3 years ago

Read 2 more answers

ryan takes a 30 centimeter by 72 centimeter sheet of paper and cuts from one corner of the paper to diagonally opposite corner.

nikklg [1K]

Answer:

178

Step-by-step explanation:

Use Pythagorean Theorem to find the Hypotenuse

30^2+72^2=78^2

Use perimeter formula

a+b+c

38+72+30

3 0

3 years ago

Read 2 more answers

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

2 years ago

Adult tickets for a charity concert were $5 each. Students were admitted for $2 each. The charity concert

AfilCa [17]

Answer:

students 150

adult 550

Step-by-step explanation:

x + y = 700

5x + 2y = 3050

x = 700 - y

5(700 - y) + 2y = 3050

3500 - 5y + 2y = 3050

-3y + 3500 = 3050

-3y = 3050 - 3500

-3y = -450

y = -450 / -3

y = 150

x = 700 - y

x = 700 - 150

x = 550

3 0

4 years ago

Simplify √(8+2√15) Please hurry