If x is the number of hours Patricia needs to babysit, the inequality is
Therefore, since she has already saved $60,
Thus, the inequality that models the question is 60+5x>=200
Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
Answer: C
Step-by-step explanation:
Considering the number to be = x
Interpreting the question
( 24 - x )/x = 3
By multiplying through by x , or cross multiply using a layman language,
24 - x = 3x, since 3 is an integer
solving for x
3x + x = 24
4x = 24
x = 6
Therefore, the option is C
I attached a picture of how I worked out the answer
