Answer:
You make $32,000 a year and want to save 10% of your income every year. How much should you put into savings every month?
$32$,000 x 0.10 = 3,200
You want to save $3200 a year.
You should be saving $266.67 a month or $133.33 a paycheck if you are paid
Step-by-step explanation:
Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

By expanding the previous equation:

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

Since there is no accumulation within the tank, expression is simplified to this:

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
, where
.

The solution of this equation is:

The salt concentration after 8 minutes is:

The instantaneous amount of salt in the tank is:
Answer:
is 2
Step-by-step explanation:
Given:
1st letter : 2.9 ounces
2nd letter: 4.1 ounces
f(1) = 0.42 + 0.20(x-1)
f(1) = 0.42 + 0.20(2.9-1)
f(1) = 0.42 + 0.20(1.9)
f(1) = 0.42 + 0.38
f(1) = 0.80
f(2) = 0.42 + 0.20(4.1-1)
f(2) = 0.42 + 0.20(3.1)
f(2) = 0.42 + 0.62
f(2) = 1.04
0.80 + 1.04 = 1.84 last choice