Answer:
43-(16*11) = -133
Step-by-step explanation:
6x4 = 24
Therefore, 24 is your answer.
9514 1404 393
Answer:
$503.85
Step-by-step explanation:
The amortization formula can help with this.
A = P(r/12)/(1 -(1 +r/12)^(-n))
where P is the loan value, A is the monthly payment, r is the annual interest rate, and n is the number of monthly payments.
We want to find P. All of the other values are given.
P = A(1 -(1 +r/12)^-n)/(r/12)
P = 32.48(1 -1.012667^-18)/(0.012667) = 31.48·16.0054
P ≈ 503.85
The equivalent cash price is about $503.85.
Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
