Answer:
1.2 meters
Step-by-step explanation:
100 centimeters = 1 meter, so... (multiply both sides by 1.2)
120 centimeters = 1.2 meters
This is an arithmetic series with first term a1 = 3 and common difference = 3
Sum after 365 days = (365/2)[ 2*3 + (365-1)*3]
= 200,385 pennies = $2003.85 Answer
Answer:
![r=0.07](https://tex.z-dn.net/?f=r%3D0.07)
Step-by-step explanation:
From the question we are told that
An offer of 2$ in 11 years on every dollar
Generally we make use of this formula
![F=P(1+r/100)^t](https://tex.z-dn.net/?f=F%3DP%281%2Br%2F100%29%5Et)
where
![f=Future value](https://tex.z-dn.net/?f=f%3DFuture%20value)
![P= present value](https://tex.z-dn.net/?f=P%3D%20present%20value)
![r=Rate](https://tex.z-dn.net/?f=r%3DRate)
![t=time](https://tex.z-dn.net/?f=t%3Dtime)
Mathematically solving for the rate
![2=1(1+r/100)^1^1](https://tex.z-dn.net/?f=2%3D1%281%2Br%2F100%29%5E1%5E1)
![(2)^1^/^1^1=(1+r/100)](https://tex.z-dn.net/?f=%282%29%5E1%5E%2F%5E1%5E1%3D%281%2Br%2F100%29)
![(1+r/100=1.0650](https://tex.z-dn.net/?f=%281%2Br%2F100%3D1.0650)
![r=(1.0650-1) *100](https://tex.z-dn.net/?f=r%3D%281.0650-1%29%20%2A100)
![r=0.07](https://tex.z-dn.net/?f=r%3D0.07)
Generally this shows that the account give an annual rate of 0.07
Answer:
r=5 units
Step-by-step explanation:
we have
![x^{2}+y^{2} -4y=21](https://tex.z-dn.net/?f=x%5E%7B2%7D%2By%5E%7B2%7D%20-4y%3D21)
Convert the equation of the circle in standard form
Complete the square twice. Remember to balance the equation by adding the same constants to each side
![x^{2}+(y^{2} -4y+4)=21+4](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B%28y%5E%7B2%7D%20-4y%2B4%29%3D21%2B4)
![x^{2}+(y^{2} -4y+4)=25](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B%28y%5E%7B2%7D%20-4y%2B4%29%3D25)
Rewrite as perfect squares
![x^{2}+(y-2)^{2}=25](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B%28y-2%29%5E%7B2%7D%3D25)
center (0,2)
radius r=5 units