Wall height^2 = 10^2 - 3^2
wall height^2 = 91
wall height =
<span>
<span>
<span>
9.5393920142
</span>
</span>
</span>
=
<span>
<span>
<span>
9.5</span></span></span>4 feet (rounded)
To model this situation, we are going to use the exponential function:
![f(t)=P(1+ \frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=f%28t%29%3DP%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
where
![P](https://tex.z-dn.net/?f=P)
is the initial number of cars
![r](https://tex.z-dn.net/?f=r)
is the growing rate in decimal form
![n](https://tex.z-dn.net/?f=n)
is number of tames the growing rate is increasing per year
![t](https://tex.z-dn.net/?f=t)
is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%
![r= \frac{12}{100}](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7B12%7D%7B100%7D%20)
![r=0.12](https://tex.z-dn.net/?f=r%3D0.12)
Since the growing rate is increasing quarterly,
![n=4](https://tex.z-dn.net/?f=n%3D4)
. We also know that the initial number of cars is 920, so
![P=920](https://tex.z-dn.net/?f=P%3D920)
. Lets replace all those values in our function:
![f(t)=920(1+ \frac{0.12}{4} )^{4t}](https://tex.z-dn.net/?f=f%28t%29%3D920%281%2B%20%5Cfrac%7B0.12%7D%7B4%7D%20%29%5E%7B4t%7D)
![f(t)=920(1+0.03)^{4t}](https://tex.z-dn.net/?f=f%28t%29%3D920%281%2B0.03%29%5E%7B4t%7D)
![f(t)=900(1.03)^{4t}](https://tex.z-dn.net/?f=f%28t%29%3D900%281.03%29%5E%7B4t%7D)
We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
Let unit cost of one rake be : r
Given : Total number of volunteers = 12
Given : Each pair of gloves cost $8.00
⇒ Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96
Given : The gardener spends a total of $300 on both rakes and gloves
⇒ Cost of 12 rakes + Cost of 12 pair of gloves = $300
⇒ 12r + 96 = 300
⇒ 12r = 204
⇒ r = 17
<u>Answer</u> : Cost of one rake is $17
Answer:
A
Step-by-step explanation:
its 5.5 an hour and the cost is 15 at the start
Answer:
root
Step-by-step explanation:
A root is a number that makes an equation true
root make since in this sentce right