They will need 3 cars, but one of the cars will be having 3 passengers instead of 4. :)
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
Answer:87.965
Step-by-step explanation calculator . Brainlyest plz
Answer with explanation:
Income earned by my parents in every two weeks = $ 1046.78
In two weeks there are 14 days, so income earned by my parents in 1 day

Income of my parents after a month, if there are 30 days in a month = $74.77 × 30= $ 2243.10
We, will use ,
rule here , which states that , 28% of monthly income of my parents, should be used for monthly housing expenses ,and 36% of gross monthly income should be used for debt purposes.
28% of $2243.78
= $ 628.26 (Approx)
So,my parents, monthly housing expense should not exceed ≥ $ 628.26