Answer:
607,261
Step-by-step explanation:
Here given that r= 0.8
Area of circular glass = area of circle = pi r^2
= 3.14 ( 0.8)^2 = 2.009 square meter
cost of one square meter = 4.60
cost of 2.009 square meter = 4.60 * 2.009 = 9.244
Answer $ 9.244 .
Invested amount (P) = $300.
Time in years (t) = 2 years.
Balance after 2 years (A) = $329.49.
Let us assume rate of interest = r % compounds annually.
We know, formula for compound interest
![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
Plugging values in formula, we get
![329.49=300(1+r)^2](https://tex.z-dn.net/?f=329.49%3D300%281%2Br%29%5E2)
![\mathrm{Divide\:both\:sides\:by\:}300](https://tex.z-dn.net/?f=%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D300)
![\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}](https://tex.z-dn.net/?f=%5Cfrac%7B300%5Cleft%281%2Br%5Cright%29%5E2%7D%7B300%7D%3D%5Cfrac%7B329.49%7D%7B300%7D)
![\left(1+r\right)^2=1.0983](https://tex.z-dn.net/?f=%5Cleft%281%2Br%5Cright%29%5E2%3D1.0983)
Taking square root on both sides, we get
![1+r=\sqrt{1.0983}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%7B1.0983%7D)
![\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D1%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![1+r-1=\sqrt{1.0983}-1](https://tex.z-dn.net/?f=1%2Br-1%3D%5Csqrt%7B1.0983%7D-1)
![r=\sqrt{1.0983}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B1.0983%7D-1)
![r=1.048-1](https://tex.z-dn.net/?f=r%3D1.048-1)
r=0.048.
Converting it into percentage by multiplying by 100.
r=0.048 × 100
r = 4.8 %
Therefore, the rate of interest on the account is 4.8% compounds annually.
P = 2d
d = 2n.....n = 1/2d
q = d - 3
since dimes is mentioned in relation to quarters, pennies, and the nickels, u would use d as ur variable
ur expression would be : d + (2d) + (1/2d) + (d - 3) = total amount of coins...then u would solve for d, the number of dimes. And once u know that, u can sub that answer back into ur original equations to find the number of pennies, quarters and nickels
#30 and #31 are in y = mx + b. m = slope, and b = y-intercept.
30. slope = 2/3 y-intercept = 1
31. Slope = -9/5 y-intercept = -4
To make the x's get on the right side of the equal sign, subtract it on both sides.
32. 6x - y = -2
32. 6x - y - 6x = -2 - 6x
32. y = 6x - 2