27 centimeters = 2.7 decimeters
X = the number
14 + 2x = 6x - 7
21 + 2x = 6x
21 = 4x
5.25 = x
The number is 5.25.
Answer:
a) $12,440.43
b) $8,000.00
c) $4,440.43
Step-by-step explanation:
the question is a bit ambiguous, I calculated from zero initial Deposit to $100 per quarter. If they deposited $100 initially and then $100 quarterly for 20 years then the numbers are as follows.
a) $12,671.05
b) $8,100
c) $4,571.05
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:
x - 1
Step-by-step explanation:
combine like terms
(5x -4x) = x
(-4 + 3) = - 1
