Given:
Amount deposited on birth = $10,000.
Interest rate = 5% compound quarterly.
To find:
The balance on the person's 18th birthday.
Solution:
The formula for amount is
![A=P\left(1+\dfrac{r}{n}\right)^{nt}](https://tex.z-dn.net/?f=A%3DP%5Cleft%281%2B%5Cdfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D)
where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
Substitute P=10000, r=0.05, n=4, t=18 in the above formula.
![A=10000\left(1+\dfrac{0.05}{4}\right)^{4(18)}](https://tex.z-dn.net/?f=A%3D10000%5Cleft%281%2B%5Cdfrac%7B0.05%7D%7B4%7D%5Cright%29%5E%7B4%2818%29%7D)
![A=10000\left(1+0.0125\right)^{72}](https://tex.z-dn.net/?f=A%3D10000%5Cleft%281%2B0.0125%5Cright%29%5E%7B72%7D)
![A=10000\left(1.0125\right)^{72}](https://tex.z-dn.net/?f=A%3D10000%5Cleft%281.0125%5Cright%29%5E%7B72%7D)
![A=24459.2026814](https://tex.z-dn.net/?f=A%3D24459.2026814)
![A\approx 24459.20](https://tex.z-dn.net/?f=A%5Capprox%2024459.20)
Therefore, the balance on the person's 18th birthday is $24459.20.
For this case we have to:
![2m-6 = 8m](https://tex.z-dn.net/?f=2m-6%20%3D%208m)
If we subtract 8m on both sides of the equation, we have:
![2m-6-8m = 8m-8m\\-6m-6 = 0](https://tex.z-dn.net/?f=2m-6-8m%20%3D%208m-8m%5C%5C-6m-6%20%3D%200)
Adding 6 to both sides of the equation:
![-6m-6 + 6 = + 6\\-6m = 6](https://tex.z-dn.net/?f=-6m-6%20%2B%206%20%3D%20%2B%206%5C%5C-6m%20%3D%206)
Dividing between -6 on both sides of the equation:
![\frac {-6m} {6} = \frac {6} {6}\\-m = 1](https://tex.z-dn.net/?f=%5Cfrac%20%7B-6m%7D%20%7B6%7D%20%3D%20%5Cfrac%20%7B6%7D%20%7B6%7D%5C%5C-m%20%3D%201)
So:
![m = -1](https://tex.z-dn.net/?f=m%20%3D%20-1)
If we want to know the value of 3m, then:
![3m = 3 (-1) = - 3](https://tex.z-dn.net/?f=3m%20%3D%203%20%28-1%29%20%3D%20-%203)
Answer:
Option C
Answer: D
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite of the angle and the hypotenuse. We can use the sine function to acquire the value of x°.
sin(x) = 7/13
Take the inverse sine on both sides by using a calculator to get:
x = 32.58°
Answer:
0=0
Step-by-step explanation:
4(2x+3)+6x+9=14x+21
8x+12+6x+9-14x-21=0
14x-14x+21-21=0
0=0
Answer:
13
------
28
I think that's the answer