Answer:
17.5% per annum
Step-by-step explanation:
<u>Given:</u>
Money invested = $20,000 at the age of 20 years.
Money expected to be $500,000 at the age of 40.
Time = 40 - 20 = 20 years
<em>Interest is compounded annually.</em>
<u>To find:</u>
Rate of growth = ?
<u>Solution:</u>
First of all, let us have a look at the formula for compound interest.
Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.
Here, We are given:
P = $20,000
A = $500,000
T = 20 years
R = ?
Putting all the values in the formula:
![500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%](https://tex.z-dn.net/?f=500000%20%3D%2020000%20%5Ctimes%20%281%2B%5Cfrac%7BR%7D%7B100%7D%29%5E%7B20%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B500000%7D%7B20000%7D%20%3D%281%2B%5Cfrac%7BR%7D%7B100%7D%29%5E%7B20%7D%5C%5C%5CRightarrow%2025%20%3D%281%2B%5Cfrac%7BR%7D%7B100%7D%29%5E%7B20%7D%5C%5C%5CRightarrow%20%5Csqrt%5B20%5D%7B25%7D%20%3D1%2B%5Cfrac%7BR%7D%7B100%7D%5C%5C%5CRightarrow%201.175%20%3D%201%2B0.01R%5C%5C%5CRightarrow%20R%20%5Capprox17.5%5C%25)
So, the correct answer is <em>17.5% </em>per annum and compounding annually.
Answer:
x = 6 and y = - 6
Step-by-step explanation:
- 4 x - 2 y = -12.......equ No 1
4 x + 8y = - 24.......equ No 2
Adding equ No 1 and equ No 2
6 y = - 36
∴ y = - 6
substitute y = - 6 in equ No 2
4 x + 8 y = -24
4 x + 8 ×( -6) = - 24
4 x - 48 = -24
4 x = -24 + 48
4 x = 24
∴ x = 6
x = 6 and y = - 6
The intersecting arcs are created and connected.
Invert the denominator and multiply to get 11/2= 55/24= 2 7/24 let me know if this helps ok
Answer:
h = 3v/b
Step-by-step explanation:
Here, we want to select the equation that solves for h
What this simply means is that we should make h the subject of the formula
Thus, we have 3 * v = bh
3v = bh
h = 3v/b
