Answer:
Option D. 17%
Step-by-step explanation:
we have
![f(x)=250,000(1.17)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D250%2C000%281.17%29%5E%7Bx%7D)
This is a exponential function of the form
![f(x)=a(b)^{x}](https://tex.z-dn.net/?f=f%28x%29%3Da%28b%29%5E%7Bx%7D)
where
a is the initial value
b is the base
In this problem
a=250,000 people
b=1.17
Remember that
b=1+r
so
1+r=1.17
r=1.17-1=0.17
Convert to percentage
0.17*100=17%
Answer:
She will use 13 quarter cups of oatmeal
Step-by-step explanation:
3 1/4 = 13/4
x/4 = 13/4
4(x/4) = 4(13/4)
x = 13
Answer:
98
Step-by-step explanation:
option d..............
Answer:
0.012
Step-by-step explanation:
Answer: 10 inches.
Step-by-step explanation:
Since the pecan pie is a circle, you can use this formula:
![arc\ length=r\theta](https://tex.z-dn.net/?f=arc%5C%20length%3Dr%5Ctheta)
Where "r" is the radius and
is the central angle of the arc in radians.
If the pecan pie has been cut into 8 equal pieces then the central angle is:
![\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B2%5Cpi%7D%7B8%7D%5C%5C%5C%5C%5Ctheta%3D%7B%5Cfrac%7B%5Cpi%7D%7B4%7D)
Now you know the arc length and the central angle, then, you can solve for "r" from
:
![\frac{arc\ length}{\theta} =r](https://tex.z-dn.net/?f=%5Cfrac%7Barc%5C%20length%7D%7B%5Ctheta%7D%20%3Dr)
Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:
![r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7.85in%7D%7B%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5C%5C%5C%5Cr%3D10in)