Answer:
Step-by-step explanation:
every 1/4 inch equals 17 miles, so every inch is 17x4=68 miles.
68x3=204 miles between city x and y
Fred and Wilma are in the 33% tax bracket. Their joint taxable income is $205,375. If the first $16,050 is taxed at 10%, with the remainder at 33%, how much tax will they owe?
Answer:
$64,082.25
Step-by-step explanation:
$205,375-16,050=189,325
189,325×33% (or .30)=62,477.25
16,050×10% (or .10)=1,605
1,605+62,477.25=$64,082.25
i neeed help wit this math problem
Answer:
17 hours
Step-by-step explanation:
34 /2=17
17 × 6.20= 105.40
17x 7.20= 122.40
105.40+122.40= 227.80
The ratio of the populations of town A and B is 6:5, while the ratio of the populations of town B and C is 3:4. If the total population of the three towns is 53000, find the population of each town.
Answer:
The population of town A = 18,000
The population of town B = 15,000
The population of town C = 20,000
Step-by-step explanation:
Given;
A:B = 6:5
B:C = 3:4
total population = 53,000
A + B + C = 53,000
\(\frac{A}{B} = \frac{6}{5} \\\\A = \frac{6B}{5} \\\\\Also;\\\\\frac{B}{C} = \frac{3}{4} \\\\C = \frac{4B}{3} \\\\then;\\\\\frac{6B}{5} +B+ \frac{4B}{3} = 53,000\\\\multiply \ through \ by \ "15"\\\\18B + 15B + 20B = 795,000\\\\53B = 795,000\\\\B = \frac{795,000}{53} \\\\B = 15,000\)
Now solve for A and C;
\(A = \frac{6 \times 15,000}{5} = 18,000\\\\C = \frac{4 \times 15,000}{3} = 20,000\)
Which expressions are equivalent to - 62+(-5.5) + 1.5z + 7y-3.5?
Select all that apply.
A. – 9+ 7y +4.52
B. -9+ 7y + (-4.52)
C. 7y-9-4.5z
D. - 4.52 + 7y-9
E. 7y +(-4.52) -5.5
Determine the slope & y intercept for the line shown. Then write the equation of the line. If you hurry I’ll mark you brainliest
Answer:
y = -3/7x + 1
Step-by-step explanation:
from the first point to the second point it goes down 3 and right 7 so this is your slope
the y intercept is 1
Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
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Question A.5 [8 marks]. Consider the Complete Model of the Household studied in class. Suppose that β(1+r)=1, where β is the subjective discount factor, and r is the interest rate. What is the relationship between the optimal levels of consumption today (C) and consumption tomorrow (C′) ? Explain.
The relationship between the optimal levels in the Complete Model of the Household can be explained by the intertemporal budget constraint and the condition given that β(1+r) = 1.
The intertemporal budget constraint states that the present value of lifetime consumption must equal the present value of lifetime income. This can be expressed as:
C + C'/(1+r) = Y + Y'/(1+r)
where Y represents income today and Y' represents income tomorrow.
Given the condition β(1+r) = 1, we can rewrite the intertemporal budget constraint as:
C + C'/(1+r) = Y + Y'/(1+r)
Since β(1+r) = 1, we have β = 1/(1+r). Substituting this into the intertemporal budget constraint, we get:
C + C'/(1+r) = Y + Y'/(1+r)
Now, if we rearrange the equation, we can isolate C':
C'/(1+r) = Y'/(1+r) - C + Y
Multiplying both sides by (1+r), we have:
C' = (1+r)(Y' - C + Y)
From this equation, we can see that the optimal level of consumption tomorrow (C') is determined by the difference between tomorrow's income (Y') and the difference between today's consumption (C) and today's income (Y), all scaled by (1+r).
In summary, the relationship between the optimal levels of consumption today and consumption tomorrow is influenced by the subjective discount factor β and the interest rate (r). The optimal level of consumption tomorrow is determined by the difference between tomorrow's income and the difference between today's consumption and today's income, scaled by (1+r).
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Darnell collected data from two different sales teams in his department, each with four employees.
The results of the study, based on each worker's age and sales, are listed in the tables below.
Team 1
Team 2
Worker's Age
Sales
Worker's Age
Sales
25
30,000
29,000
27
32,000
35,500
28
35,000
37,000
33
38,000
65,000
Which of the following is a true statement?
225
28
29
31
Answer:
The answer is C The sales range for team 2 is greater than the sales range for team 1.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Brian buys a computer for £1600. It depreciates at a rate of 4% per year. How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.
Answer:
amount = £1415.57
Step-by-step explanation:
given data
computer buy = £1600
depreciates rate = 4% per year
time = 3 year
solution
we get here amount that is express here as
amount = P × \((1-r)^{t}\) ...................................1
here r is rate and t is time put here value
amount will be
amount = 1600 × \((1-0.04)^{3}\)
solve it we get
amount = £1415.57
A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.
Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))
Answer:
The answer is B.
Step-by-step explanation:
I hope you have a great day and thank you if you give me Brainliest!
Answer: B) (1/2, -3)
Step-by-step explanation:
Hope this helps!
Mark me brainliest!
Pls and Ty!
Can someone please show me y=2x-2 and x=4 on a graph please. ( IF U CAN PLEASE SHOW ME WHERE THE LINES GO THROUGH EACH OTHER ON A GRAPH)
Please help :(
The complement of an angle is 36º. What is the measure of the angle?
Answer:
54º.
Step-by-step explanation:
two angles that are complementary have to add up to 90º. therefore, 90º-36º=54º angle.
14/6 + 1/5 marking brainliest (show me how you got it)
Answer:
\( \frac{14}{6} + \frac{1}{5} = \frac{70 + 6}{30} = \frac{38}{15} \)
Answer:38/15
Step-by-step explanation:
First we have to make the denominator of both the decimals,lets see:6 and 5 are the denominator.They can both be turned into 30! The 14/6 ’s 6 is time 5 to get to 30 so 14/6 x =70/30 and the other is 1/5 =6/30.
So: 70/30 + 6/30=76/30!
Simplified: 38/15
Hope this helped!
Hope you have a great day!
Good luck !
lfu29
Mrs. Merrel purchases 3 1/3 lb. of turkey for $10.50, and Mrs. Ayres purchases 2 1/2 lb. of turkey for $6.25. Which is the better buy per pound? Why?
Two secant segments are drawn to a circle from a point outside the circle. The external segment of the first secant segment is 8 centimeters and its internal segment is 6 centimeters. If the entire length of the second secant segment is 28 centimeters, what is the length of its external segment?
Given:
Two secant segments are drawn to a circle from a point outside the circle.
External segment of the first secant segment = 8 centimeters
Internal segment of the first secant = 6 centimeters.
Entire length of the second secant segment = 28 centimeters.
To find:
The length of its external segment.
Solution:
Let x be the length of its external segment.
Entire length of the first secant segment = 8+6 = 14 centimeters.
If two secant segments are drawn to a circle from a point outside the circle, then product of entire length of first secant and external length of first secant is equal to product of entire length of second secant and external length of second secant.
\(14\times 8=28\times x\)
\(112=28x\)
Divide both sides by 28.
\(\dfrac{112}{28}=x\)
\(4=x\)
Therefore, the length of external segment of second secant is 4 centimeters.
help with this question
Answer:
B Possibly?
Step-by-step explanation:
A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?
Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.
To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.
First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.
The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.
Using the Pythagorean theorem, we have:
x^2 + (width of the river)^2 = PR^2
Since the width of the river is not given, we'll represent it as w. Therefore:
x^2 + w^2 = 400^2
Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.
Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.
To find the total distance, we add up the distances:
Total distance = QP + PR + RQ
= x + 400 + x
= 2x + 400
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What is the value of the expression below when z=2?
4z^2 -3z-4
Answer:
6
Step-by-step explanation:
Evaluate 4 z^2 - 3 z - 4 where z = 2:
4 z^2 - 3 z - 4 = 4×2^2 - 3×2 - 4
Hint: | Evaluate 2^2.
2^2 = 4:
4×4 - 3×2 - 4
Hint: | Multiply 4 and 4 together.
4×4 = 16:
16 - 3×2 - 4
Hint: | Multiply -3 and 2 together.
-3×2 = -6:
16 + -6 - 4
Hint: | Group the negative terms in 16 - 6 - 4 together and factor out the minus sign.
16 - 6 - 4 = 16 - (6 + 4):
16 - (6 + 4)
Hint: | Evaluate 6 + 4.
6 + 4 = 10:
16 - 10
Hint: | Subtract 10 from 16.
| 1 | 6
- | 1 | 0
| 0 | 6:
Answer: 6
Kristina walks from her house, around the park, to the store. She is interested in taking a shortcut through the park to save time. Approximately how far away from her house is the store, if she were to follow the path shown by the dotted line in the graphic below?* HOUSE PARK 80 m 100 m STOR O 134 m O 128 m O 180 m 200 m nal. If a 65 inch television has 1 point
If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.
How to calculate the distance between her house and the store?To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;
C² = a² + b²
where;
a= 80
b= 100
c= ?
That is;
c²= 80²+100²
= 6400+10000
= 16,400
c = √16400
= 128.1m
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SOMEONE HELP ME PLEASE
Answer:
m=-2/3
Step-by-step explanation:
two points from graph:(-1,1) and (-4,3)
m=y2-y1/x2-x1
m=3-1/-4-(-1)
m=2/-3
m=-2/3
Example 9: The position at time \( t \) of an object moving along a line is given by \( s(t)=t^{3}-9 t^{2}+24 t+15 \), where \( s \) is in feet and \( t \) is in scconds, find each of the following. a.Find the total distance traveled by the object between times t=0 and t=5 b) Find the acceleration of the object determine when the object is accelerating and decelerating between t=0 and t=5
Previous question
a. The total distance traveled by the object between times \(\( t = 0 \) and \( t = 5 \)\) is 32 feet. b. The object is accelerating from \(\( t = 0 \) to \( t = 3 \)\) and decelerating from \(\( t = 3 \) to \( t = 5 \).\)
a. To find the total distance traveled by the object, we need to consider both the positive and negative displacements. We calculate the displacement by subtracting the initial position from the final position. In this case\(, \( s(0) = 15 \) feet and \( s(5) = 65 \)\)feet. Therefore, the displacement is\(\( 65 - 15 = 50 \)\) feet. Since the object changes direction at \(\( t = 3 \),\) we need to consider the absolute value of the displacement. Hence, the total distance traveled is\(\( |50| = 50 \)\) feet.
b. The acceleration of the object is given by the second derivative of the position function, \(\( a(t) = s''(t) \).\) We find the second derivative by differentiating the position function twice.\(\( a(t) = 6t - 18 \).\)To determine when the object is accelerating or decelerating, we examine the sign of the acceleration function. The object is accelerating when \(\( a(t) > 0 \)\)and decelerating when\(\( a(t) < 0 \).\) For the given time interval, from \(\( t = 0 \) to \( t = 5 \),\) the object is accelerating from \(\( t = 0 \) to \( t = 3 \)\) and decelerating from \(\( t = 3 \) to \( t = 5 \).\)
Therefore, the total distance traveled is 32 feet and the object is accelerating from \(\( t = 0 \) to \( t = 3 \)\)and decelerating from \(\( t = 3 \) to \( t = 5 \).\)
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Please help me I am so lost
Answer:
x = 64°
Step-by-step explanation:
In a parallel line the opposite angle sides have the same value.
first you have to get the value of the angle beside the 128° angle.
we know the half the circle has 180°. so the rest of the angle must be 180° - 128° = 52°
Now the opposite site of the parallel line its going to be the same.
since now we have the value of the angle.
2x + 52 = 180
2x = 180-52
2x = 128
x = 128/2
x = 64
OR,
You can just cut all the nonsense and write
2x = 128°
because its on the opposite side of the parallel. the value will be same.
so,
x = 128/2
x = 64
Thank me later.
Consider this triangle.
use sin
sin(50) = x/6
sin(50) x 6 = x
x = ~4.5963
What is the name of the numeral system we use today?.
97) help please !!!!!!!!!!
Answer:
?
Step-by-step explanation:
write the equation in the slope intercept form of the line shown on the graph
Ronen has 1,003 marbles. He wants to give the same number of marbles to each of his 8
teammates with as few as possible left over. How many marbles did each teammate receive?
How many marbles were left?
Enter the correct value to complete each sentence.
Blank marbles were shared with each teammate.
Blank marbles were left.
Answer:
3 Marbles were left.
Step-by-step explanation:
To find the number of marbles Ronen gave to each teammate, we can divide the total number of marbles by the number of teammates:
1003 ÷ 8 = 125 with a remainder of 3
Therefore, each teammate received 125 marbles, and there were 3 marbles left over.
So, 125 marbles were shared with each teammate, and 3 marbles were left.
Asap, need help. Thanks if your going to help me! Please explain the steps!
Answers:
Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars=============================================================
Explanation:
We don't have enough information to nail down exact figures, but we can make a range estimate.
The two people (call them A and B) share the profits in the ratio of 4 to 5
In shorthand notation, we can say the ratio is 4:5
This means person A gets 4x dollars while person B gets 5x dollars
The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.
The total profit is therefore 4x+5x = 9x dollars
This expression 9x is between 1800 and 3600 dollars, including both endpoints
We then can say...
\(1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400\)
We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.
The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.
-------------------------
To summarize:
Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.
-------------------------
Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.
Solve dx 2
d 2
y(x)+4y(x)=−4sin(2x), with y(0)=−1 dx
dy(0)
=−1
y(x)=?
The solution to the differential equation is:
y(x) = -1 + 0e^(-4x) - sin(2x)
= -1 - sin(2x)
To solve the given second-order linear homogeneous differential equation:
d²y/dx² + 4dy/dx = -4sin(2x)
We can first find the general solution to the associated homogeneous equation, which is obtained by setting the right-hand side (-4sin(2x)) equal to zero:
d²y₀/dx² + 4dy₀/dx = 0
The characteristic equation is r² + 4r = 0, which factors as r(r + 4) = 0. This gives two roots: r₁ = 0 and r₂ = -4.
Therefore, the general solution to the homogeneous equation is:
y₀(x) = c₁e^(0x) + c₂e^(-4x)
= c₁ + c₂e^(-4x)
Now, we need to find a particular solution to the original non-homogeneous equation. We make an educated guess that the particular solution has the form yₚ(x) = Asin(2x) + Bcos(2x), where A and B are constants to be determined.
Taking the derivatives:
dyₚ/dx = 2Acos(2x) - 2Bsin(2x)
d²yₚ/dx² = -4Asin(2x) - 4Bcos(2x)
Substituting these derivatives into the differential equation:
(-4Asin(2x) - 4Bcos(2x)) + 4(2Acos(2x) - 2Bsin(2x)) = -4sin(2x)
Simplifying terms:
(-4A + 8A)*sin(2x) + (-4B - 8B)*cos(2x) = -4sin(2x)
This gives us two equations:
4A = -4 --> A = -1
-12B = 0 --> B = 0
Therefore, the particular solution is yₚ(x) = -sin(2x).
The general solution for the non-homogeneous equation is the sum of the general solution to the homogeneous equation and the particular solution:
y(x) = y₀(x) + yₚ(x)
= c₁ + c₂e^(-4x) - sin(2x)
Using the initial conditions y(0) = -1 and dy/dx(0) = -1:
y(0) = c₁ + c₂ - sin(0) = c₁ + c₂
= -1
dy/dx(0) = -4c₂ - 2cos(0) = -4c₂ - 2
= -1
We have a system of equations:
c₁ + c₂ = -1
-4c₂ - 2 = -1
Solving this system gives c₁ = -1 and c₂ = 0.
Therefore, the solution to the differential equation is:
y(x) = -1 + 0e^(-4x) - sin(2x)
= -1 - sin(2x)
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to define a default field value, add the attribute ____.
To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.
This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.
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