The total discretionary money every month is $1,117.43.
What is discretionary money?This is the amount of money after paying for necessary products and other obligations. This includes:
FoodHousingTaxesHow to calculate the discretionary money?Discretionary money = Total income - money spent on taxes and basic expenses.
Basic expenses:
Rent: $953.20Auto payment: $165.87Telephone: $56.98Autoinsurance: $714.36 every six months / 6 months = 119.06Total: 1,295.11Discretionary money = Total income - money spent on taxes and basic expenses.
$2,412.54 - $1,295.11 = $1,117.43Learn more about discretionary money in: https://brainly.com/question/12159880
Paul bought 4 DVDs for $9.95 each. What was his total cost?
Answer:
He bought 4 DVDs for $9.95 each, so $9.95*4= $39.8 is his total cost.
Step-by-step explanation:
A company is using the first two years of its profits to predict what will happen in the future. The profit, p(x), in millions, can be modeled by
the function p(x) =x^2 + 4x + 5, where x, represents the number of years after 2020
- In what year did the company have the largest profit and what was the amount?
Answer:
2022
9 million
Step-by-step explanation:
[tex]p(x) =-x^2 + 4x + 5[/tex]
To find the value of x when the maximum profit occurs, differentiate the function:
[tex]\implies p'(x)=-2x+4[/tex]
set it to zero and solve for x:
[tex]\implies p'(x)=0[/tex]
[tex]\implies -2x+4=0[/tex]
[tex]\implies x=2[/tex]
Therefore, the year in which the company had its largest profit was
2020 + 2 = 2022
Input found value of x into the function:
[tex]p(2) =-(2)^2 + 4(2) + 5=9[/tex]
Therefore, the amount was 9 million
What is the volume of a cube with a length of 10 meters?
A. 10,000 m³
B. 1,000 m³
C. 100 m³
D. 30 m³
In this exercise we have to use the formula for volume of the cube and we find that:
Volume of cube is 1000m³
How is volume calculated?The formula is V = c * l * a, where:
V = volume, c = length, l = width, a = height.Given that the length of side of cube = 10m, and knowing the formula the volume of cube is:
[tex]Volume of cube = (side)^3\\Volume of cube= (10)^3\\Volume of cube = 1000 m^3[/tex]
See more about volume at brainly.com/question/1578538
which option does the following expression simplify to?
please help :)
»Option (A.)
Let find
5b^{0}
= 1
hope its helps
Okay
Solve using log
Help would be much appreciated
Answer:
5.2812
Step-by-step explanation:
[tex]10^{x-3.6}-7=41[/tex]
Add 7 to both sides:
[tex]\implies 10^{x-3.6}=48[/tex]
Taking logs of base 10:
[tex]\implies \log_{10}10^{x-3.6}=\log_{10}48[/tex]
Apply log rule [tex]\log a^b=b \log a[/tex]:
[tex]\implies (x-3.6)\log_{10}10=\log_{10}48[/tex]
Apply log rule [tex]\log_aa=1[/tex]:
[tex]\implies (x-3.6)\times 1 =\log_{10}48[/tex]
Simplify and solve:
[tex]\implies x-3.6=\log_{10}48[/tex]
[tex]\implies x=\log_{10}48+3.6[/tex]
[tex]\implies x = 5.281241237...[/tex]
[tex]10^{x-3.6}-7=41[/tex]
Use the rules of exponents and logarithms to solve the equation.
[tex]10^{x-3.6}-7=41[/tex]
Add 7 to both sides of the equation.
[tex]10^{x-3.6}=48[/tex]
Take the logarithm of both sides of the equation.
[tex]log(10^{x-3.6})=log(48)[/tex]
The logarithm of a number raised to a power is the power times the logarithm of the number.
[tex](x-3.6)log(10)=log(48)[/tex]
Add 3.6 to both sides of the equation.
[tex]x=log(48)-(-3.6)[/tex]
Solve by first finding [tex]log(48)[/tex] then subtract [tex](-3.6)[/tex] from the answer:
1. [tex]log(48)=1.6812412373755872181499834821531[/tex]
Now just solve the equation:
[tex]1.6812412373755872181499834821531 - (-3.6)=5.2812412373755872181499834821531[/tex]
Your answer is C. [tex]5.2812412373755872181499834821531[/tex] or [tex]5.2812[/tex]
i need help please thanks
Answer:
127 degrees
Step-by-step explanation:
Which is the range of the discrete function G(x)?
G(x) = {(1,2), (3, 2), (4, 5), (5,9), (7,2)}
O A. {1,2,3,4,5,7,9}
B. {1,3,4,7)
O C. {2,5,9}
D. {1,9}
A jet boat is used to take canoers 200 miles upriver to their starting point. As the driver of the jet boat,
Jeremy knows that it will take him 5 hours to get the canoers upstream, but only 4 hours to get the boat
back downstream after dropping the canoers off, as long as he keeps the boat moving at a constant speed.
How fast would the boat be moving in still water?
A
B
C
D
5 mph
40 mph
45 mph
50 mph
Answer:
The answer is D because if you go at a constant speed of 50 MPH for 4 hours you will have reached 200-mile mark at 4 hours
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
50mph
Fernando had to pay $1.40 in sales tax when he purchased a shirt. If the sales tax rate is 7%, how much did his shirt cost? please show step by step
On Monday Tom takes 15 minutes to walk one mile to school. On Tuesday
he takes 20 minutes to walk the same distance. Calculate his speed in mph
for each day's walk.
Answer:
Tom's speed (in mph) on Monday [tex]=4mph[/tex]
Tom's speed (in mph) on Tuesday [tex]=3mph[/tex]
Step-by-step explanation:
Using Speed distance time formula.
Tom's speed (in mph) on Monday
[tex]=Distance/time.[/tex]
[tex]=1/(15/60).[/tex] [By question statements, [tex]1hr=60min].[/tex]
[tex]=4mph[/tex]
Tom's speed (in mph) on Tuesday
[tex]=Distance/time.\\ =1/(20/60).[/tex][By question statements, [tex]1hr=60min].[/tex]
[tex]=3mph.[/tex]
Hence
Tom's speed (in mph) on Monday[tex]=4mph.[/tex]
Tom's speed (in mph) on Tuesday[tex]=3mph.[/tex]
I hope this helps you
:)
On Monday, The speed of Tom will be 4 mph.
On Tuesday, The speed of Tom will be 3 mph.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
On Monday Tom takes 15 minutes to walk one mile to school.
On Tuesday he takes 20 minutes to walk the same distance.
Now,
For Monday;
Tom takes 15 minutes to walk one mile to school.
Hence, Distance = 1 mile
Time = 15 minutes = 15/60 hour
Thus, Speed = Distance / Time
= 1 / (15/60)
= 60/15
= 4 mph
For Tuesday;
Tom takes 20 minutes to walk one mile to school.
Hence, Distance = 1 mile
Time = 20 minutes = 20/60 hour
Thus, Speed = Distance / Time
= 1 / (20/60)
= 60/20
= 3 mph
Thus, On Monday, The speed of Tom will be 4 mph.
On Tuesday, The speed of Tom will be 3 mph.
Learn more about the speed visit:
https://brainly.com/question/13943409
#SPJ2
TRANSFORMATIONS !!
The vertices of a trapezoid are shown below.
(0,6), (6,12), (6,9), (0,12)
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
A . (2,8) B. (3,3) C. (3,6) D. (12,24)
Answer: C
Step-by-step explanation:
Triangle 2 is a scale drawing of Triangle 1. Based on information in the diagram, what is the length of side b?
Urgent help pls.
Answer:
36.0
Step-by-step explanation:
45 / 10 = 4.5
8 * 4.5 = 36
Please help! 20 points thanks :)
Answer:
D) There is not enough info to tell (sike maybe not the asnwer)
B) b (bbbbbbbbbbb)
Step-by-step explanation:
SiiiKE, not D) I think but My first thought is D but I know it is not D unless it is another answer BUT I think it is B My final answer is B) b
Carson runs a farm stand that sells strawberries and bananas. Each pound of strawberries sells for $3 and each pound of bananas sells for $1.50. Carson sold 4 times as many pounds of strawberries as pounds of bananas and he made $135 altogether. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x, and the number of pounds of bananas sold, y.
Answer:
3.33
Step-by-step explanation:
Janet just mulched her yard and had 2 1/4 bags of mulch left. She divided it evenly and gave 3/8 of a bag to each of the people on her block. How many people live on Janet's block?
Answer:
6 people
Step-by-step explanation:
2 1/4 = 9/4 = 18/8
She gave 3/8 of a bag to each of the people => she gave 18/8 : 3/8 = 6 people
So, there are 6 people that live on Janet's block (maybe 7 if count Janet herself)
Answer:
6
Step-by-step explanation:
2.25 divided by 3/8 (0.375)
To double check multiply 3/8 by 6 and you'll get 2.25 (2 1/4).
What is an equation of the line that passes through the points (6,2) and
(7, 1)?
(Giving brainliest )
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8[/tex]
15 POINTS!
Heath performed an experiment in which he randomly pulled one marble out of a bag at a time, recorded its color, placed it back in the bag, and repeated. His results are shown in the following table. What is the experimental probability of pulling a green marble?
Enter your answer as a decimal rounded to the nearest hundredth, like this: 42.53
Answer: 21/36
Step-by-step explanation:
I added both of the numbers together (15+21) and I got 36 so I just put 21 over 36. So the percentage of it is either 58% or 58.3% !
Hope it helped ;>
Answer:
0.58
Step-by-step explanation:
15 + 21 = 36
21 / 36 = 0.58
0.58
NOW SOMETIMES SOME SCHOOLWORK WILL WANT IT HAS A HIGHER DECIMAL IT DEPENDS ON UR SCHOOL SO IF 0.58 DOES END UP BEING WRONG (which is unlikely because most schools would want it this way) THEN I WOULD DO 58.33
ok have a wonderful rest of ur day :)
The parabola with equation y = a(x – 2)^2 + q passes through the points (-2,5) and (4, -1) Determine the coordinates of the vertex of the parabola.
please help!
Step-by-step explanation:
the standard form for a quadratic function is
y = ax² + bx + c
our parabola had the equation
y = a(x - 2)² + q
let's do the "math" :
y = a(x² - 4x + 4) + q = ax² - 4ax + 4a + q
so, we know (when comparing with the standard form)
b = -4a
c = 4a + q
for the vertex we need to find the axis of symmetry first by using the standard formula
x = -b/2a
which is in our case
x = -(-4a)/2a = 4a/2a = 2
to get y for this x we need to find a and q first.
we are using the given points for that :
5 = a(-2)² - 4a×(-2) + 4a + q
-1 = a(4)² - 4a×4 + 4a + q
the first equation then forms into
5 = 4a + 8a + 4a + q = 16a + q
the second equation forms into
-1 = 16a - 16a + 4a + q = 4a + q
let's subtract the second from the first equation
5 = 16a + q
- -1 = 4a + q
--------------------
6 = 12a + 0
12a = 6
a = 1/2
-1 = 4a + q = 4×1/2 + q = 2 + q
q = -3
so, the original equation for our parabola is
y = 1/2 × (x - 2)² - 3
so y for the vertex (remember, x = 2) is
y = 1/2 × (2 - 2)² - 3 = 1/2 × 0 - 3 = -3
so the vertex is (2, -3)
Keith opened a credit card and spent $55. Which of the following represents the situation?
5 points
A. Keith has +55 dollars
B. Keith has -55 dollars
C. Keith earned 55 dollars
D. Keith has a zero balance
Answer:
B
Step-by-step explanation:
I think B because he opened credit card and not yet deposit and then he spent $55.
Gabriella has 3 bottles of water.
Each bottle contains 500 ml of water.
Work out the total quantity of water.
Give your answer in litres.
Answer:
1.5 Liters
Step-by-step explanation:
500ml=0.5L
(0.5L)x3= 1.5L
A rectangular room has a 10ft by 8ft rug in the center such that the distance from the edge of the rug to the wall is the same on all four sides. If the area of the room is 288 square feet, find the distance the rug is from the wall.
The answer I got was 13ft away, can someone check me on that?
Answer:
You are correct if rounding to the nearest whole number.
I got 12.69 so if you round up, you will get 13 (see below)
Step-by-step explanation:
X*Y = 288
(X-a)*(Y-a) = 10 * 8 = 80
X-a = 10
Y-a = 8
a = Y-8 = X-10
(X-10) * X = 288
X^2 - 10X = 288
X^2-10X-288= 0
quadratic equation
[tex]X = \frac{10 +/- \sqrt{100 - (4)(-288)} }{2}[/tex]
X = (10 + 35.38)/2 =22.69 (technically it would have 2 answers, but we only want to evaluate the positive answer)
a = X- 10 = 22.69- 10 = 12.69 which would round up to 13 if you are rounding to the nearest whole number.
HOPE THIS HELPS!!!
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 59(0.59)
This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .59 which is less than 1, representing decay.
Write the equation for the following relationships
x: 1/2, 0, 2
y: 4, 0, 16
please write in the y=mx+b formula
to get the equation of any straight line we simply need two points off of it, from the table [tex]\begin{array}{|cccc|ll} \cline{1-4} x&\frac{1}{2}&0&2\\ \cline{1-4} y&4&0&16\\ \cline{1-4} \end{array}[/tex] let's use the points of (0 , 0) and (2 , 16)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{16}{2}\implies 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{8}(x-\stackrel{x_1}{0})\implies y=8x[/tex]
MAX POINTS
The 19% APR is the annual interest rate, but it is compounded monthly. What is the
monthly interest rate?
Other loan info (I don't know what all you need to calculate this)
The debt owed is 910$ and the minimum payments is 2.5% or ten dollars whatever is larger. Assume Zach is going to pay only the minimum. If he only pays minimum it would take him 154 months.
Answer:
Monthly rate: 19%/12 ≈ 1.5833%72 months to pay off the loanStep-by-step explanation:
The monthly interest rate is the annual rate (APR) divided by 12.
19%/12 ≈ 1.5833%
The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.
HELP AGAINN
5(2x+6) using x=4
Answer:
70
Step-by-step explanation:
Answer:
Step-by-step explanation:
Plugin x = 4 in the expression
5*(2x + 6 ) = 5*(2*4 + 6)
= 5* (8 + 6)
= 5 * 14
= 70
Antonia is factoring the polynomial, which has four terms. 21x3−63x2 15x−45 3[7x3−21x2 5x−15] 3[7x2(x−3) 5(x−3)] Which is the completely factored form of her polynomial? 21x2(x − 3) 36x2(x − 3) 3(7x2 5) (x − 3) 3(12x2 5) (x − 3).
Answer:
21x2(x-3)
Step-by-step explanation:
Answer: Its C- 3(7x^2+5)(x-3)
Step-by-step explanation:
took it on edge2022
PLS HELP ILL GIVE BRAINLIEST!!!!!!!!
Answer:
It says it right there.
the answer that you need is 300
Step-by-step explanation:
Brainiest
Answer:
The height of the square pyramid is 150 inches
Step-by-step explanation:
[tex]volume \ of \ square \ pyramid = a^2 \frac{h}{3}[/tex]
[tex]450 = 3^2 \frac{h}{3}[/tex]
[tex]450 = 9( \frac{h}{3} )[/tex]
[tex]450 = 3( {h}{)[/tex]
[tex]450 = 3h[/tex]
[tex]h = 150[/tex]
ln(r^2s^10 4√r^2s^10) is equal to Alnr+Blns Where A equals and B equals
[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( r^2s^{10}\sqrt[4]{r^2s^{10}} \right)\qquad \qquad \stackrel{\textit{let's for a second make}}{z = r^2s^{10}} \\\\\\ \ln\left(z\cdot \sqrt[4]{z} \right)\implies \ln\left(z\cdot z^{\frac{1}{4}} \right)\implies \ln\left(z^{1+\frac{1}{4}} \right)\implies \ln\left(z^{\frac{5}{4}} \right)[/tex]
[tex]\stackrel{\textit{and substituting back}}{\ln\left( \left[ r^2s^{10} \right]^{\frac{5}{4}} \right)}\implies \ln\left( r^{2\cdot \frac{5}{4}} ~~ s^{10\cdot \frac{5}{4}} \right)\implies \ln\left( r^{\frac{5}{2}}~~s^{\frac{25}{2}} \right) \\\\\\ \ln\left( r^{\frac{5}{2}} \right)~~ + ~~\ln\left( s^{\frac{25}{2}} \right)\implies \stackrel{A}{\cfrac{5}{2}}\ln(r)~~ + ~~\stackrel{B}{\cfrac{25}{2}}\ln(s)[/tex]
Which type of data would be best displayed in a dot plot?
Answer:
the top one
Step-by-step explanation:
it has the least number
Answer:
A
Step-by-step explanation: i got it right
how do i graph y=1/2+4
y=1/2+4
y=2+4
y=6
or
y=1/2+4
y=1/6
y=6
Those homeworks are so easy lmaøoo
Answer:
To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value. From the y-intercept point, use the slope to find a second point. The numerator of the slope tells you how many units to move up or down from the intercept, and the denominator of the slope tells you how many units to move left or right in order to plot the second point. Connect the two points and draw arrows at either end to indicate that the line extends infinitely.
Step-by-step explanation:
Since the equation is in y=mx+B form, M is the value of we can use B as the Y_Intercept and M as the slope.
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