Answer:
After 40 weeks
Step-by-step explanation:
To get the answer to this question, we need to first know the difference in the amount of money deposited by the 2 individuals and in this case it us $400 since one deposited $500 and the other $100
The next thing to do is to divide the difference in amount(400) by the amount contributed by each person per week.
Catherine deposits $20 per week
400/20 = 20
Lance deposits $10 per week
400/10 = 40
The LCM between 40 and 20 is 40 weeks.
Therefore, both individuals need to deposit money for 40 weeks for both of their savings to be the same.
If Catherine deposits $20 for 40 weeks,she will have 40 × 20 = $800 + $100(initial deposit that she made) = $900
Lance deposits $10 for for 40 weeks and he will have 40 × 10 = $400 + $500(initial deposit made by him)= $900
Answer:
16
Step-by-step explanation:
1st group = 30% or .3 as a decimal
.3 * 40 = 12
2nd group = ate 7
Third group = 1/8 or .125 as a decimal
.125 * 20 = 5
12 + 7 + 5 = 24
40 -24 = 16
Answer:
The solution of the differential equation is .
Step-by-step explanation:
The first step is to take Laplace transform in both sides of the differential equation. As usual, we denote the Laplace transform of as . Then,
In the last step we use that and .
Notice that our differential equations becomes an algebraic equation for , which is more simple to solve.
In the expression we have obtained, we can write in terms of :
which is equivalent to
.
Now, we make a partial fraction decomposition for the term . Thus,
.
Substituting the above value into the expression for we get
) in both hands of the above expression. Recall that . So,
.
To obtain this we have used the following identities that can be found in any table of Laplace transforms