Think of the greater than sign as an equals sign. Then, you solve for m
Answer:
Step-by-step explanation:
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
___
The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Answer:
6
Step-by-step explanation:
set up a ratio
1.5 / 0.25 = x/1
x = 1.5 / 0.25 = 6
Ok so what we need to find is 3 years of the simple interest so let’s get to it!
Ok so we found the principal price which is 250.00
And our rate is going to be 2.85%
A=P(1+rt)
Therefore the answer is going to be A=$271.38, therefore from the simple interest on a principal of $250.00 at a rate of 2.85% per year for 3 years is $271.38.
