Answer:
$4.84
Step-by-step explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
Answer:
Haircuts cost $50.33
Hair Color costs $80.33
Step-by-step explanation:
Let haircut be cost "a"
coloring be cost "b"
2 haircut, 4 coloring equals 422, we can write:
2a + 4b = 422 {Equation 1}
5 haircut, 4 coloring, equals 573, we can write:
5a + 4b = 573 {Equation 2}
We now multiply equation 1 with -1 and add it with Equation 2 to get:
-1(2a + 4b = 422) = -2a - 4b = -422
Now,
-2a - 4b = -422
5a + 4b = 573
----------------------
3a = 151
a = 151/3 = $50.33
Now, to find b, we plug in this value into any equation and solve for b:
2a + 4b = 422
2(50.33) + 4b = 422
4b = 422 - 100.66
b = $80.33
Haircuts cost $50.33
Hair Color costs $80.33
Let

denote the amount of salt in the tank at time

. We're given that the tank initially holds

lbs of salt.
The rate at which salt flows in and out of the tank is given by the relation


Find the integrating factor:

Distribute

along both sides of the ODE:




Since

, we get

so that the particular solution for

is

The tank becomes full when the volume of solution in the tank at time

is the same as the total volume of the tank:

at which point the amount of salt in the solution would be
Answer:
10
Step-by-step explanation:
30÷?=3
30÷3 =10
so 30÷10=3