Square root of 3 because it equals 1.73
Answer:
f(-3) =16
Step-by-step explanation:
f(x) = -5x + 1
f(-3) means let x=-3
Substituting x=-3 into the equation
f(-3) = -5 (-3) +1
Multiplying -5 and -3
f(-3) = 15+1
f(-3) =16
Answer:
$3714.18
Step-by-step explanation:
From the question;
Amount invested is $3300
Rate of interest 3% per year compound interest
Time is 4 years
We want to determine the amount that accrued after 4 years
In this case we are going to use the compound interest formula;
That is;
where A is the amount, P is the principal , r is the rate of interest and n is the time taken.
Therefore;
= $3714.18
Therefore, the amount accrued after 4 years is $3714.18
Answer:
1734
Step-by-step explanation:
add them
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
