Melissa's employer matches retirement funds 1:2 up to 6% of salary. She makes $55,000 per year. How much should she contribute t
1 answer:
You might be interested in
If 
is the amount of salt in the tank at time 
, then the rate at which the amount of salt in the tank changes is given by
Let's drop the units for now. We have
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/100}A(t)\right]=24e^{t/100}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F100%7DA%28t%29%5Cright%5D%3D24e%5E%7Bt%2F100%7D)
We're given that the water is pure at the start, so
, giving
So the amount of salt in the tank (in lbs) at time is
Let's drop the units for now. We have
We're given that the water is pure at the start, so
So the amount of salt in the tank (in lbs) at time
By eliminating exponents, the <em>logarithmic</em> expression is equivalent to the <em>logarithmic</em> expression
.
<h3>How to simplify logarithmic functions</h3>
In this problem we are supposed to eliminate all exponents of a <em>logarithmic</em> function by applying any of the following properties:
- ㏒ x · y = ㏒ x + ㏒ y
- ㏒ x/y = ㏒ x - ㏒ y
- ㏒ yˣ = x · ㏒ y
Now, we proceed to simplify the function:
By eliminating exponents, the <em>logarithmic</em> expression is equivalent to the <em>logarithmic</em> expression
.
To learn more on logarithms: brainly.com/question/24211708
#SPJ1