Answers
1) Brianna's average monthly income is $1,850.
2) Brianna's average monthly expenses are $3,135.
3) Brianna's total monthly cash flow is -$1,295.
What is the cash flow?The cash flow refers to the cash inflows and cash outflows.
Cash inflows are incomes while cash outflows are expenses.
Brianna's Monthly Budget:Monthly Rent = $700
Gas = $120
Car Insurance = $75
Health Insurance = $140
Renter's Insurance = $25
Cell phone = $110
Utilities = $100
Groceries = $300
Entertainment/eating out = $250
Total monthly expenses = $1,820
= $21,840 ($1,820 x 12)
Annual Expenses:College = $12,000
Gifts = $1,000
Vacations = $1,500
Clothes = $800
Charity =$600
Total monthly expenses = $21,840
Total annual expenses = $37,740
Average monthly expenses = $3,135 ($37,740 ÷ 12)
Monthly Income = $1,600
Yearly Income = $ 19,200 ($1,600 x 12)
Annual Scholarship = $3,000
Total annual income = $22,200
Average monthly income = $1,850 ($22,200 ÷ 12)
Cash Flows:Average monthly income = $1,850
Average monthly expenses = $3,135
Cash flows = -$1,295 ($1,850 - $3,135)
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Related Questions
you deposit $1,300 in an account that pays 4% interest compounded yearly find the Balance after 3 years
Answers
Answer:In 3 years, you will have $1,462.32
Step-by-step explanation:
The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 48 who smoke. Step 1 of 2: Suppose a sample of 271 Americans over 48 is drawn. Of these people, 220 don't smoke. Using the data, estimate the proportion of Americans over 48 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answers
Answer:
0.188
Step-by-step explanation:
The computation is shown below;
First we have to determine the no of smokers
= Total no of persons - number of non-smokers
= 271 - 220
= 51
Now we have to estimate the proportion
So for this
= 51 ÷ 271
= 0.188192
= 0.188
Hence, the estimation is 0.188
The same is to be considered
is the ordered pair a solution to the equation. y=-7; (-5,6)
Answers
Answer: No
To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.
If the equation is true, then the ordered pair is a solution to the equation.
If we put (-5,6) into y=-7, we get 6=-7, which is not true.
So, (-5,6) is not a solution to the equation y=-7.
A box contains 2 red crayons, 6 blue
crayons, 5 green crayons, 9 yellow crayons,
and 3 purple crayons. A crayon is drawn
at random, not replaced, then another is
drawn. Find each probability,
P(yellow, then green)
P(both blue)
Answers
Answer:
yellow 9/25
yellow and green is 14/25
Using it's concept, it is found that the probabilities are given as follows:
P(yellow, then green) = 0.075 = 7.5%.P(both blue) = 0.05 = 5%.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 9 out of 25 are yellow, then 5 out of 24 will be green, hence:
P(yellow, then green) = 9/25 x 5/24 = 45/(25 x 24) = 0.075 = 7.5%.
For both blue, we have that they are, respectively, 6 out of 25 and 5 out of 24, hence:
P(both blue) = 6/25 x 5/24 = 30/(25 x 24) = 0.05 = 5%.
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If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11
Answers
The value of the inverse function f-¹ (3) is (e) 11
Calculating the value of the inverse functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 8
To calculate the inverse value at f-¹ (3)
We set the value to 3
using the above as a guide, we have the following:
x - 8 = 3
Evaluate the like terms
x = 11
Hence, the value of the inverse function is (e) 11
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Complete question
if f(x) = x - 8, what is the value of f-¹ (3)?
Jamir is training for a race and is running laps around a field. If the distance around the field is 275 yards,
how many complete laps would he need to do to run at least 3 miles?
Answers
Answer:
19.2
Step-by-step explanation:
1 mile is 1760 that times 3 equals 5280 divided by 275 = around 19.2
Área de un rectángulo cuya base mide 10m y su altura es de 15m
Answers
El área del rectángulo cuya base mide 10 metros y altura de 15 metros es de 150 metros cuadrados.
Para calcular el área de un rectángulo, multiplicamos la longitud de la base por la altura. En este caso, la base del rectángulo es de 10 metros y su altura es de 15 metros.
Área del rectángulo = Base × Altura
Sustituyendo los valores:
Área del rectángulo = 10 m × 15 m
Área del rectángulo = 150 m²
Por lo tanto, el área del rectángulo cuya base mide 10 metros y altura de 15 metros es de 150 metros cuadrados.
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which rectangle has the greatest area?
A: Rectangle A that is 3.25 inches wide and 6.1 inches long or
B: rectangle B that is 4.06 inches wide and 5.009 inches long.
Answers
Answer:
Rectangle B
Step-by-step explanation:
Rectangle A:
L × B
3.25 × 6.1
19.825 inches
Rectangle B:
L × B
4.06 × 5.009
20.33654 inches
solve the inequality. graph your solution
6(y+1)>6
Answers
Step-by-step explanation:
\(6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0\)
sin 0 = - 3/5 and cos 0 > 0. Identify the quadrant of the terminal side of 0 and
find cos 0
Answers
Answer:
Quadrant IV
cos0=4/5
Step-by-step explanation:
Inequalities - Introduction
Answers
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
For each of the following, compute the present value:
Present Value Years Interest Rate Future Value
$12 4 % $18,928 4 9 43,117 16 12 806,382 21 11 663,816
Answers
Answer:
1. $11,822.61
2. $30,577.76
3. $131,546.81
4. $74,117.67
Step-by-step explanation:
The calculation of present value is shown below:-
\(Present\ value = \frac{Future\ value}{(1 + r)^n}\)
For 1 scenario
\(Present\ value = \frac{\$18,928}{(1 + 0.04)^{12}}\)
\(= \frac{\$18,928}{1.601}\)
= $11,822.61
So, the present value of 1st scenario is $11,822.61
For 2nd scenario
\(Present\ value = \frac{\$43,117}{(1 + 0.09)^{4}}\)
\(= \frac{43,117}{1.411}\)
= $30,577.76
So, the present value of 2nd scenario is $30,577.76
For 3rd scenario
\(Present\ value = \frac{\$806,382}{(1 + 0.12)^{16}}\)
\(Present\ value = \frac{\$806,382}{6.130}\)
= $131,546.81
So, the present value of 3rd scenario is $131,546.81
For 4th scenario
\(Present\ value = \frac{\$663,816}{(1 + 0.11)^{21}}\)
\(= \frac{\$663,816}{8.949}\)
= $74,117.67
So, the present value of 4th scenario is $74,117.67
Therefore we simply applied the above formula
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
Answers
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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f(n) = 3n - 1 ; find (4)
Answers
Answer:
11
Step-by-step explanation:
f(4)= 3(4)-1
=12-1
Last year and investor purchased 115 shares of stock A at $90 per share
Answers
The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10
The third option is correct.
How do we calculate?For stock A:High price value: 115 shares * $105.19 per share = $12,084.85
Low price value: 115 shares * $103.25 per share = $11,858.75
For stock B:High price value: 30 shares * $145.18 per share = $4,355.40
Low price value: 30 shares * $143.28 per share = $4,298.40
The overall value at high price:
$12,084.85 + $4,355.40
= $16,440.25
The overall value at low price:
$11,858.75 + $4,298.40
= $16,157.15
In conclusion, the difference in overall gain or loss:
$16,440.25 - $16,157.15 = $280.10
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Help please.................
Answers
Answer:
(-4, 0) and (5/2, 0)
Step-by-step explanation:
if you graph the equation you can see where the curve intersects the x-axis or you can factor the equation into: (2x - 5)(x + 4) = 0
set each factor equal to zero and solve:
2x - 5 = 0
2x = 5
x = 5/2
x + 4 = 0
x = -4
Which investment results in the greatest total amount?
Investment A: $4,000 invested for 5 years compounded semiannually at 6%.
Investment B: $5,000 invested for 3 years compounded quarterly at 2.7%.
Find the total amount of investment A.
$ (Round to the nearest cent as needed.)
Answers
Answer:
Step-by-step explanation:
The formula to calculate the future value of an investment with compound interest is:
FV = PV * (1 + (r/n))^(n*t)
Where:
PV is the present value (the initial investment)
r is the annual interest rate
n is the number of compounding periods per year
t is the number of years
For Investment A:
PV = $4,000
r = 6% = 0.06
n = 2 (semiannual compounding)
t = 5 years
FV = $4,000 * (1 + (0.06/2))^(2*5) = $4,000 * (1.03)^10
FV = $4,000 * 1.664131669 = $6,656.53
So, the total amount of Investment A is $6,656.53 (rounded to the nearest cent).
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Answers
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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Inverse of g(x)=-x^5-3
Answers
Answer:
\( {g}^{ - 1} (x) = \sqrt[5]{ - x - 3} \)Step-by-step explanation:
\(g(x) = - {x}^{5} - 3\)To find the inverse of g(x) equate g(x) to y
That's
\(y = - {x}^{5} - 3\)Next interchange the terms
x becomes y and y becomes x
We have
\(x = - {y}^{5} - 3\)Next make y the subject
Multiply both sides by - 1
That's
\( {y}^{5} + 3 = - x\)Send 3 to the right side of the equation
That's
\( {y}^{5} = - x - 3\)
Find the 5th root of both sides
That's
\( \sqrt[5]{ {y}^{5} } = \sqrt[5]{ - x - 3} \\ y = \sqrt[5]{ - x - 3} \)We have the final answer as
\( {g}^{ - 1} (x) = \sqrt[5]{ - x - 3} \)Hope this helps you
Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answers
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
Please please help me! I need help
Answers
Answer:
7
Step-by-step explanation:
lets bring the numbers down here.
7,7,2,4,6,7,8,8,8,8,9,0,0,4,4
By arranging them from least to greatest.
0 ,0 ,2 ,4, 4, 4, 6, 7 ,7, 7 ,8 ,8 ,8 ,8 ,9
the median(middle number) is 7
Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
Answers
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?
Answers
Answer:way too much because chicken like turkey
Step-by-step explanation:turky is juste sleepyi chimken
Find two square numbers that total 45
Answers
x^2+^2=45
if ×=3 and y=6
then 9+36=45
what is Bethany's score on the test if she answered 23 out of 30 right?
part:
whole:
percent:
Answers
Answer: 76.67%
Step-by-step explanation:
hello I seem to be having trouble on this problem it is requiring a decimal place answer please help
Answers
Given:
There are 8 women and 5 men in a game show.
Producer of the show going to choose 5 people.
Required:
Find the probability that the producer chooses 3 women and 2 men.
Formula:
\(nC_r=\frac{n!}{r!(n-r)!}\)Explanation:
We can use Combination for solving the problem.
\(\begin{gathered} Total\text{ number of members to be choosen from for gameshow=8+5} \\ =13 \end{gathered}\)\(\begin{gathered} Total\text{ number of ways that we made without any restriction =13C}_5 \\ =\frac{13!}{5!(13-5)!} \\ =\frac{13!}{5!(8!)} \\ =\frac{13\times12\times11\times10\times9\times8!}{5!(8!)} \\ =\frac{13\times12\times11\times10\times9}{1\times2\times3\times4\times5} \\ =13\times11\times9 \\ =1287 \end{gathered}\)\(\begin{gathered} No\text{ of ways to select 3 women and 2 men=8C}_3\times5C_2 \\ =\frac{8\times7\times6}{1\times2\times3}\times\frac{5\times4}{1\times2} \\ =560 \end{gathered}\)We can take the total number of ways as sample space(S).
\(n(S)=1287\)Let A be the even that no of ways to select 3 women and 2 men.
\(n(A)=560\)\(\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ =\frac{560}{1287} \\ =0.435 \end{gathered}\)Final Answer:
Probability that the producer choosing 3 women and 2 men is 0.435
The animals at a safari park include camels,
kangaroos and meerkats.
There are 12 more kangaroos than there are
camels.
There are 3 times as many meerkats as there
are camels.
There are the same number of kangaroos as
there are meerkats.
How many camels are there at the safari park?
Answers
m = 3c
k = m
Equating the RHS of the first two equations gives
3c = c + 12
2c = 12
c = 6
There are 6 camels
Which graph represents the function f(x) = -|x| − 3?
Answers
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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For one month diera calculated her home towns average high temperature
Answers
The answer for this question is Celsius for Fahrenheit.
The Formula for Converting TemperatureTo convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.
(50°F - 32) x.5556 = 10°C, for instance.
When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.
For instance, (30°C x 1.8) + 32 = 86°F'
Here are two useful charts that translate between F and C as well as between C and F.
How to calculate her home towns average high temperature?The temperature of f degrees Fahrenheit converted to degree Celsius.
(( f)=5/9 (f-32)
represent the temperature of f degrees Fahrenheit converted to degree Celsius.
The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.
So that means if the temperature is in Fahrenheit it will be converted to Celsius.
So that means the C(F) represents the Celsius temperature.
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Complete Question -
For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?
A ladder leans against the side of the a house. The ladder is 19 feet long and forms an angle of elevation of 75 degree when leaned against the house. How far away from the house is the ladder? Round your answer to the nearest tenth.
Answers
Answer: 18.35259
Hope it helps!