ANSWER
EXPLANATION
The given equation is
Take antilogarithm of both sides to base e.
This will simplify to
Group like terms to obtain,
Take square root of both sides to get,
|a| = a for a ≥ 0
examples
|2| = 2, |4| = 4, |234| = 234, |1/2| = 1/2, |0| = 0
|a| = -a for a < 0
examples
|-4| = -(-4) = 4, |-6| = -(-6), |-123| = 123, |-4/5| = 4/5
|5 - 15| = | - 10| = 10
0 × |-6| = 0
<u>Answer-</u>
<em>You need to deposit $337.62 each month, to reach this goal.</em>
<u>Solution-</u>
We know that,
![\text{FV of annuity}=P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctext%7BFV%20of%20annuity%7D%3DP%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
Where,
P = periodic payment
r = rate per period
n = number of period
Here,
Putting the values,
![\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]](https://tex.z-dn.net/?f=%5CRightarrow%202500000%3DP%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D)
![\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cfrac%7B2500000%7D%7B%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D%7D)
When you say something goes on forever, it means that it is going on to infinity. Infinity is something that can be used as a mathematical concept, but forever is not. Forever is something people say if they don't know how infinity is used.
The equation would be x+7x+12x = 100
solving gives x=5
12×5=60
7×35
5+35+60=100
The age/answer is 60
