If the Miami Marlins won 14 of their first 27 games and the team continued to win at the

Alex makes $61,992 per year and pays about 25% of his gross monthly income in federal and state taxes. He wants to find an apart

ivanzaharov [21]

Answer:

Rent each month = $1421

Amount left after rent and taxes monthly = $2453

Step-by-step explanation:

Gross salary; $61,992 per year

His gross pay per month will be;

61992/12 = $5166

Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.

Now, let's adopt an average of 27.5%

Thus;

Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421

We are told he pays 25% of his gross monthly income in federal and state taxes.

Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292

Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453

4 0

3 years ago

What is the distance between the points (-3,4) and (5,4)?

marta [7]

Answer:

8/1

Step-by-step explanation:

You have to go up 8 more to get to (5,4) I hope Im right and this helps

5 0

3 years ago

Read 2 more answers

Problem 10: A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per g

AysviL [449]

Answer:

The quantity of salt at time t is $m_{salt} = (60)\cdot (30 - 29.833\cdot e^{-\frac{t}{10} })$ , where t is measured in minutes.

Step-by-step explanation:

The law of mass conservation for control volume indicates that:

$\dot m_{in} - \dot m_{out} = \left(\frac{dm}{dt} \right)_{CV}$

Where mass flow is the product of salt concentration and water volume flow.

The model of the tank according to the statement is:

$(0.5\,\frac{pd}{gal} )\cdot \left(6\,\frac{gal}{min} \right) - c\cdot \left(6\,\frac{gal}{min} \right) = V\cdot \frac{dc}{dt}$

Where:

$c$ - The salt concentration in the tank, as well at the exit of the tank, measured in $\frac{pd}{gal}$ .

$\frac{dc}{dt}$ - Concentration rate of change in the tank, measured in $\frac{pd}{min}$ .

$V$ - Volume of the tank, measured in gallons.

The following first-order linear non-homogeneous differential equation is found:

$V \cdot \frac{dc}{dt} + 6\cdot c = 3$

$60\cdot \frac{dc}{dt} + 6\cdot c = 3$

$\frac{dc}{dt} + \frac{1}{10}\cdot c = 3$

This equation is solved as follows:

$e^{\frac{t}{10} }\cdot \left(\frac{dc}{dt} +\frac{1}{10} \cdot c \right) = 3 \cdot e^{\frac{t}{10} }$

$\frac{d}{dt}\left(e^{\frac{t}{10}}\cdot c\right) = 3\cdot e^{\frac{t}{10} }$

$e^{\frac{t}{10} }\cdot c = 3 \cdot \int {e^{\frac{t}{10} }} \, dt$

$e^{\frac{t}{10} }\cdot c = 30\cdot e^{\frac{t}{10} } + C$

$c = 30 + C\cdot e^{-\frac{t}{10} }$

The initial concentration in the tank is:

$c_{o} = \frac{10\,pd}{60\,gal}$

$c_{o} = 0.167\,\frac{pd}{gal}$

Now, the integration constant is:

$0.167 = 30 + C$

$C = -29.833$

The solution of the differential equation is:

$c(t) = 30 - 29.833\cdot e^{-\frac{t}{10} }$

Now, the quantity of salt at time t is:

$m_{salt} = V_{tank}\cdot c(t)$

$m_{salt} = (60)\cdot (30 - 29.833\cdot e^{-\frac{t}{10} })$

Where t is measured in minutes.

7 0

3 years ago

Help with questions 21-23 using pemdas

taurus [48]

Answer:

21. 123 22. 6.86 or 6/ 6/7 23. 90

Step-by-step explanation:

21. (6+4)² + (22+10÷2)

(10)² + (22 + 5)

100 + 27

127

22. (11+42-5) ÷ (11-4)

48 ÷ 7

6.85 or 6 6/7

23. (17-3) × (14 - 6) -22

14 × 8 - 22

112 - 22

90

5 0

3 years ago

What is the y-intercept of the function, represented by the table of values below? x: -2,1,2,4,7 y: 14,8,6,2,-4

anastassius [24]

Answer:

The y-intercept is at y = 10.

Step-by-step explanation:

It will be between y = 14 and y = 7 because the corresponding x values are -2 and 1.

An increase of 3 units of x gives a decrease of 6 units of y fro the above values.

Then an increase of 1 ( 1 to 2) in x gives decrease in y of 2 (8 to 6). The other values show the same pattern.

So very unit increase in x, the y values change by -2.

So from x = -2 to 0 is +2 units for x and this will be -4 units for y so the y-intercept ( when x = 0) will be at y = 14-4 = 10

y-intercept is (0,10).

7 0

3 years ago