Answer:
33.33
Step-by-step explanation:
60% of 33.33 is 20. 100% of 33.33 is 33.33, therefore 60 percent of 33.33 equals 20.
We know that,
Number of scouts = 15
Number of feathers required by each scout = 18
Hence, Total Number of feathers required = 15 * 18 = 270
We also know that Number of feathers in each bag = 12
Hence, number of bags required to decorate picture frames = Total number of feathers required ÷ number of feathers in each bag
⇒ Number of bags required to decorate picture frames = 270 ÷ 12
⇒ Number of bags required to decorate picture frames = 22.5
Since half a bag can't be bought 23 bags would be required.
Answer:
1/3 + 1/4 = 4/12 + 3/12 = 7/12
7/12 = both brothers ate 7 crackers out of 12 crackers
there were 5 crackers left on the plate means 5/12 crackers left on the plate
answer: 12 crackers at the beginning
Step-by-step explanation:
Given:
f(x) is an exponential function where f(3) = 18 and f(7.5) = 60.
To find:
The value of f(12), to the nearest hundredth.
Solution:
Let the exponential function be
...(i)
It is given that
. Substitute
in (i).
![f(3)=ab^3](https://tex.z-dn.net/?f=f%283%29%3Dab%5E3)
...(ii)
It is given that
. Substitute
in (i).
![f(7.5)=ab^{7.5}](https://tex.z-dn.net/?f=f%287.5%29%3Dab%5E%7B7.5%7D)
...(iii)
Divide (iii) by (ii).
![\dfrac{10}{3}=b^{4.5}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B3%7D%3Db%5E%7B4.5%7D)
Putting
in (ii), we get
![18=a(1.30676)^3](https://tex.z-dn.net/?f=18%3Da%281.30676%29%5E3)
![\dfrac{18}{(1.30676)^3}=a](https://tex.z-dn.net/?f=%5Cdfrac%7B18%7D%7B%281.30676%29%5E3%7D%3Da)
![a\approx 8.0665](https://tex.z-dn.net/?f=a%5Capprox%208.0665)
Putting
and
in (i), we get
![f(x)=8.0665(1.30676)^x](https://tex.z-dn.net/?f=f%28x%29%3D8.0665%281.30676%29%5Ex)
Putting x=12, we get
![f(12)=8.0665(1.30676)^{12}](https://tex.z-dn.net/?f=f%2812%29%3D8.0665%281.30676%29%5E%7B12%7D)
![f(12)=200.0024](https://tex.z-dn.net/?f=f%2812%29%3D200.0024)
![f(12)\approx 200.00](https://tex.z-dn.net/?f=f%2812%29%5Capprox%20200.00)
Therefore, the value of f(12) is about 200.00.
1. Graph is attached.
Title: Contractor 1's fee
In the real world it would mean that the total cost (y) is starting at 200 and then 50 per hour.
(1,250) means that she paid 250 for 1 hour
(2,300) means that she paid 300 for 2 hours
(3,350) means that she paid 350 for 3 hours
2. It means that contractor 2 charges 5 more per hour
it means that contractor 1 charges 50 more as a starting fee.
3. rate of change 60, this means that it changes by 60 every time.
y-2=60(x-0)
y intercept is 0
4.
a. x=210, y=10700,y=210(50)+200
b.x=195, y=195(55)+150, y=10875
c.x=185,y=185(60),y=11100
d. She should choose contractor 2 because it's the second cheapest and contractor 1 is over 200 hours.