All categories

3 years ago

assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?

Mathematics

1 answer:

Juliette [100K]3 years ago

3 0

9514 1404 393

Answer:

8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

1.012^500

The number of doublings is the solution to ...

2^n = 1.012^500

Taking logarithms, we have ...

n·log(2) = 500·log(1.012)

n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

You might be interested in

(6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Use an iterated integral to compute the vo

kipiarov [429]

Let $R$ be the ellipsoid with equation

$\left(\dfrac xa\right)^2+\left(\dfrac yb\right)^2+\left(\dfrac zc\right)^2=1$

so that the volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV$

Consider the augmented spherical coordinates given by the identities

$\begin{cases}x=ar\cos u\sin v\\y=br\sin u\sin v\\z=cr\cos v\end{cases}$

Computing the Jacobian, we find that the volume element is given by

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=abcr^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv$

so that the volume integral can be written as

$\displaystyle\iiint_R\mathrm dV=abc\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=1}r^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv=\frac{4abc\pi}3$

8 0

3 years ago

Order the group of quadratic functions from widest to narrowest graph.

Alika [10]

In a quadratic function, y = a(x²) the smaller the coefficient "a", the larger is the parabola:
From widest to narrowest:

1) y=1/3x² (Widest)

2) y= -1/2x² (Wider)

3) y=-9x² (narrowest)

4 0

3 years ago

Read 2 more answers

May someone please help me

Neporo4naja [7]

I believe that is ten right?

7 0

3 years ago

Read 2 more answers

m∠AOB = 6x + 5, m∠BOC = 4x - 2, m∠AOC = 8x + 21

AnnZ [28]

The sum of angle AOB and angle BOC is equal tot he angle of AOC so

6x+5 +4x-2 = 8x+21

10x+3=8x+21

Subtract three and 8x from both sides

2x=18

Divide by two

x=9

Hope this helped!

6 0

3 years ago

These base-10 blocks model 68.

Rina8888 [55]

Answer:

68 ÷ 7 = 9.714

−

7 0

2 years ago