Step-by-step explanation:
a little messy but hope it helps :)) !!
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.
Answer:
The value of x is -9, 3/4 and 3.
Step-by-step explanation:
In order to find the value of x, tou have to let f(x) equals to 0 :
Let f(x) = 0,
(x-3)(x+9)(4x-3) = 0
x - 3 = 0
x = 3
x + 9 = 0
x = -9
4x - 3 = 0
4x = 3
x = 3/4
<h2>If you mean :</h2>
![\frac{4}{3y} = 48 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3y%7D%20%20%3D%2048%20%5C%5C%20)
Inverse both sides
![\frac{3y}{4} = \frac{1}{48} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3y%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B48%7D%20%20%5C%5C%20)
Multiply both sides by 4
![4 \times \frac{3y}{4} = 4 \times \frac{1}{48} \\](https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%5Cfrac%7B3y%7D%7B4%7D%20%20%3D%204%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B48%7D%20%20%5C%5C%20)
![3y = \frac{4}{48} \\](https://tex.z-dn.net/?f=3y%20%3D%20%20%5Cfrac%7B4%7D%7B48%7D%20%20%5C%5C%20)
![3y = \frac{4 \times 1}{4 \times 12} \\](https://tex.z-dn.net/?f=3y%20%3D%20%20%5Cfrac%7B4%20%5Ctimes%201%7D%7B4%20%5Ctimes%2012%7D%20%20%5C%5C%20)
![3y = \frac{1}{12} \\](https://tex.z-dn.net/?f=3y%20%3D%20%20%5Cfrac%7B1%7D%7B12%7D%20%20%5C%5C%20)
Divide both sides by 3
![3y \div 3 = \frac{1}{12} \div 3 \\](https://tex.z-dn.net/?f=3y%20%5Cdiv%203%20%3D%20%20%5Cfrac%7B1%7D%7B12%7D%20%20%5Cdiv%203%20%5C%5C%20)
![y = \frac{1}{12} \times \frac{1}{3} \\](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B12%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20)
![y = \frac{1}{36} \\](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B36%7D%20%20%5C%5C%20)
_____________________________________________
<h2>If u mean : </h2>
![\frac{4}{3} y = 48 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20y%20%3D%2048%20%5C%5C%20)
Multiply both sides by the 3
![3 \times \frac{4}{3} y = 3 \times 48 \\](https://tex.z-dn.net/?f=%203%20%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%20y%20%3D%203%20%5Ctimes%2048%20%5C%5C%20)
![4y = 3 \times 48](https://tex.z-dn.net/?f=4y%20%3D%203%20%5Ctimes%2048)
Divide both sides by 4
![4y \div 4 = 3 \times 48 \div 4](https://tex.z-dn.net/?f=4y%20%20%5Cdiv%204%20%3D%203%20%5Ctimes%2048%20%5Cdiv%204)
![y = \frac{48 \times 3}{4} \\](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B48%20%5Ctimes%203%7D%7B4%7D%20%20%5C%5C%20)
![y = \frac{4 \times 12 \times 3}{4 \times 1} \\](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B4%20%5Ctimes%2012%20%5Ctimes%203%7D%7B4%20%5Ctimes%201%7D%20%20%5C%5C%20)
![y = 12 \times 3](https://tex.z-dn.net/?f=y%20%3D%2012%20%5Ctimes%203)
![y = 36](https://tex.z-dn.net/?f=y%20%3D%2036)