Answer:
12.5%
Step-by-step explanation:
45/360×100=12.5
Answer:
Step-by-step explanation:
Let the initial price be x
<u>Then the reduced price is </u>
<u>If 5 mugs cost $28.20, we have equation:</u>
- (x - 1.75)*5 = 28.20
- x - 1.75 = 28.20/5
- x - 1.75 = 5.64
- x = 1.75 + 5.64
- x = 7.39
Initial price for 1 mug was $7.39
The distance travelled by an object is 50 m.
<h3>What is Distance?</h3>
The distance between two points is the length of the path connecting them.
Here, given equation of distance
S = 1/2 (u + v)t
Where s is the distance traveled by an object (in meters)
initial velocity u (in m/s)
final velocity v (in m/s).
t in seconds.
Now, given values are;
u = 8 m/s ; v = 12 m/s ; t = 5 sec.
S = 1/2 (8 + 12)5
S = 1/2 (20)5
S = 100/2
S = 50 m.
Thus, the distance travelled by an object is 50 m.
Learn more about Distance from:
brainly.com/question/15172156
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Answer:
The year is 2020.
Step-by-step explanation:
Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.
Given:
Initial population is, ![P_0=450,000](https://tex.z-dn.net/?f=P_0%3D450%2C000)
Growth rate is, ![r=5\%=0.05](https://tex.z-dn.net/?f=r%3D5%5C%25%3D0.05)
Final population is, ![P=700,000](https://tex.z-dn.net/?f=P%3D700%2C000)
A population growth is an exponential growth and is modeled by the following function:
![P=P_0(1+r)^x](https://tex.z-dn.net/?f=P%3DP_0%281%2Br%29%5Ex)
Taking log on both sides, we get:
![\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}](https://tex.z-dn.net/?f=%5Clog%28P%29%3D%5Clog%28P_0%281%2Br%29%5Ex%29%5C%5C%5Clog%20P%3D%5Clog%20P_0%2Bx%5Clog%20%281%2Br%29%5C%5Cx%5Clog%20%281%2Br%29%3D%5Clog%20P-%5Clog%20P_0%5C%5Cx%5Clog%281%2Br%29%3D%5Clog%28%5Cfrac%7BP%7D%7BP_0%7D%29%5C%5Cx%3D%5Cfrac%7B%5Clog%28%5Cfrac%7BP%7D%7BP_0%7D%29%7D%7B%5Clog%281%2Br%29%7D)
Plug in all the given values and solve for 'x'.
![x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Clog%28%5Cfrac%7B700%2C000%7D%7B450%2C000%7D%29%7D%7B%5Clog%281%2B0.05%29%7D%5C%5Cx%3D%5Cfrac%7B0.192%7D%7B0.021%7D%3D9.13%5Capprox%2010)
So, for
, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.
Therefore, the tenth year after 2010 is 2020.
Nothing changes if you don't add anything.
Example:
10+10=20
20+0=20
nothing changes.