Answer:
a.) 10 months
b.) Kool Karate
c.) Karate Klub
Step-by-step explanation:
Karate Klub : y=25x+200
Kool Karate : y=35x+100
A.) First, set the equations equal to each other then solve for x. ![A.) 25x+200=35x+100\\\\](https://tex.z-dn.net/?f=A.%29%2025x%2B200%3D35x%2B100%5C%5C%5C%5C)
take away 100 from both sides
![25x+100=35x](https://tex.z-dn.net/?f=25x%2B100%3D35x)
take away 25x from both sides
![100=10x](https://tex.z-dn.net/?f=100%3D10x)
divide 10 from both sides so x can be by itself and equal to 1
![10=x](https://tex.z-dn.net/?f=10%3Dx)
This means that at 10 months, the cost is the same for both.
B.) Substitute 6 for x in both equations
Karate Klub : ![y=25(6)+200\\y=350](https://tex.z-dn.net/?f=y%3D25%286%29%2B200%5C%5Cy%3D350)
Kool Karate :![y=35(6)+100\\y=310](https://tex.z-dn.net/?f=y%3D35%286%29%2B100%5C%5Cy%3D310)
The cost for Kool Karate is cheaper, so that is what he should join.
C.) Substitute 12 for x in both equations.
x=12 because there are 12 months in a year.
Karate Klub:![y= 25(12)+200\\y=500](https://tex.z-dn.net/?f=y%3D%2025%2812%29%2B200%5C%5Cy%3D500)
Kool Karate:![y=35(12)+100\\y=520](https://tex.z-dn.net/?f=y%3D35%2812%29%2B100%5C%5Cy%3D520)
The cost for Karate Klub is cheaper, so that is what he should join.
This is probably wrong but hey it's worth a shot
$150*0.06%=9*6(the months)= $54
the answer might be $54
<span>For an indirect proof, you need to assume the statement is false, and show that that leads to something impossible</span>
Answer:
30
Step-by-step explanation:
I just did this at school lol
Complete question :
The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?
Answer:
16.2 million
Step-by-step explanation:
Given the equation :
A=16.2e^0.01^t
Where, t = number of years after 2003
The population in year 2003 ; can be obtained thus ;
t = 2003 - 2003 = 0
Put t = 0 in the equation :
A(0) =16.2e^0.01^0
A(0) = 16.2 * 1
A(0) = 16.2
Hence, population in 2003 is 16.2 million