Answers
C. Shifted upwards by 28 units
The explanation is shown below:
1. The problem gives you the following linear function:
f(x)=ax+b
Where a is the slope and b is the y-intercept
2. When you graph that linear function, you obtain a line.
3. Therefore, if b (y-incercept) increases 28,000; the line will shifted 28 units upwards.
4. As you can see, the correct answer is the option mentioned above.
Addition of $28,000 means, we are adding 28 to the given function. Addition/Subtraction of a number to the function brings only vertical shift not the horizontal shift.
Addition bring upward shift and Subtraction brings downward shift. So, increase of $28,000 will bring an upward shift of 28 units.
So, the correct answer is option C
Related Questions
Question 7 Unsaved A couch cost $825. If the state has a 10% sale's tax. What was the price of the couch before taxes?
Question 7 options:
$785
$750
$735
$700
Answers
The equation can be framed as follows:
Before tax cost *(1+tax rate) = Final cost
Given tax rate = 10% = 0.1
Final cost = $825
Before tax cost *(1+0.1) = 825
Before tax cost * 1.1 = 825
Before tax cost = 825/1.1
Before tax cost = $750
Price of the couch before taxes = $750
William invested $7000 in an account that earns 4.5% interest, compounded annually. The formula for compound interest is A(t) = P(1 + i)t. How much did William have in the account after 3 years? A. $21,340.38 B. $7988.16 C. $7094.93 D. $7945
Answers
Answer:
7988.16
Step-by-step explanation:
This is a matter of plugging in numbers.
P = 7000 (starting value)
l = 0.045 (rate)
t = 3 (number of years)
A(t) = 7000(1 + 0.045)^3
A(t) = 7000(1.045)^3
After three years, William will have 7988.16
The amount in William's account after 3 years with compound interest will be $7,988.16. Hence the correct option is B.
The compounded interest formula is:
A(t) = P(1 + i)^t
where P is the principal amount ($7000), i is the interest rate (4.5% or 0.045), and t is the time in years (3).
Calculate the total amount:
A(3) = 7000(1 + 0.045)^3
A(3) = 7000(1.045)^3
A(3) = 7000 * 1.144976125
A(3) = $7,988.16
Ebony wants to leave an 18% tip for a $19.82 restaurant bill. The tax is 6.25%, which is added to the bill before the tip.
Answers
1. find the tax. we are told it is 6.25% in decimal form this is .0625. We need to multiply that by the total 19.82 to find the tax so
[tex]0.0625 \times 19.82 = 1.24[/tex]
so the tax is $1.24
2. Add the tax to the total
[tex]19.82 + 1.24 = 21.06[/tex]
3. calculate a 18% tip. we can do this in our head numerous ways (moving the decimal place to find 10% taking half of that for 5% and moving the decimal again for 1% multiply by 3 and add) but for space we will simply do the same as we did for tax
[tex]21.06 \times .18 = 3.79[/tex]
so our tip is $3.79
4. add the tip to the total
[tex]21.06 + 3.79 = 24 .85[/tex]
so with tax and tip her total is 24.85 However I have found it very common for people to tip just on the price before tax. if this is the case calculate the 18% based just on the original price and add that value plus the 1.24 tax
Ebony will pay a total of $24.85 for her meal after adding a 6.25% tax to the original price of $19.82 and then calculating an 18% tip on the resulting amount, which includes the tax.
The student, Ebony, needs to calculate the total cost of a restaurant bill which involves adding tax and a tip. The cost of her meal is $19.82, with a 6.25% tax to be added before calculating an 18% tip.
First, determine the sales tax amount by converting the percent to a decimal:
0.0625 × $19.82 = $1.24.
Add the sales tax to the meal's original cost to find the total before tip:
$19.82 + $1.24 = $21.06.
Next, calculate the tip amount by converting 18% to a decimal and multiplying by the post-tax total:
0.18 × $21.06 = $3.79.
To find the final amount Ebony will pay including the tax and tip, add the tip to the post-tax total:
$21.06 + $3.79 = $24.85.
Ebony will pay $24.85 at the restaurant's register, using either cash or a credit card, to cover her $19.82 meal with tax and tip.
PLEASE HURRY, I NEED THE ANSWERS!!
1. The surface area of a box is 627in, what is the surface area if it is scaled by a factor of ten? (Show work)
2. The volume of the box is 720in, what is the volume of the box if it is scaled by 1/10? (Show work)
Answers
Can someone help me find the volume
Answers
Jason ran 325 meters farther than Kim.Kim ran 4.2 kilometers.How many meters did Jason run?Estimate to check your answer
Answers
Jason 4200+325=4525 m Jason ran
4.2km = 4.2 x 1000 = 4200m
Jason ran 325m farther than Kim
⇒ 4200 + 325 = 4525m
Answer: Jason ran 4525m
you spin a spinner the has 8 equal sized sections numbered. one to eight. Find P( 1 or 2 )
Answers
This wasn't really a complete question but i hope i answered it!!
Fell free to ask questions :)
The probability of spinning a 1 or 2 on a spinner with eight equally sized sections can be calculated using the formula for probability, resulting in a probability of 0.25.
Explanation:The question asks to find the probability of spinning a 1 or 2 on a spinner with eight equally sized sections, each numbered from 1 to 8. The problem is a straightforward application of the concept of probability in mathematics, which can be calculated by the formula P(E) = Number of favourable outcomes / Total number of outcomes.
In this case, the number of favourable outcomes (spinning a 1 or 2) is 2, and the total number of outcomes is the total number of sections on the spinner, which is 8. Therefore, the probability P(1 or 2) is computed as 2 / 8 = 0.25.
Learn more about Probability here:https://brainly.com/question/32117953
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ASAP pleaseeeeee!!!!!!
Answers
For questions 1 and two find the volume of the given prism. Round to the nearest tenth if necessary.
Answers
The volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively
How to calculate the volume of the prism?The formula for calculating the volume of a prism is given as;
V = lwh
l is the length
w is the width
h is the height
1) The volume of the prism is expressed as;
V = 12.1 * 5.3 * 4.2
V = 269.3 cubic centimeters
2) Volume of the triangular based prism = BH
Base area = 1/2(13)(13)sin60
Base area = 84.5(0.8660)
Base area = 73.177 square yard
Height H = 24 yards
Volume of the prism = 24 * 73.177
Volume of the prism = 1756.3 cubic yards
Hence the volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively
Learn more on volume of prism here: https://brainly.com/question/3867601
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please help solve 13 + m = 10
m = _____
Answers
Short answer: -3
Why?
To find out what m is, we have to subtract the two numbers. 10 - 13 => -3
Hope this helped you! ♥
turn 0.43,0.50 into a median
20 points
Answers
HOPE THIS HELPS
use the graph of f(x)to find the solutions to the equation f(x)=0.
Answers
f (x) = 0
For this case, the first thing you should see is the cut points of the graph with the x axis.
We then have the following computer pairs:
(-6, 0)
(2, 0)
Answer:
The solution for f (x) = 0 is:
(-6, 0)
(2, 0)
how many cube shaped boxes with 12-inch edges can fit into a box that is 4 feet tall 4 feet long and 5 feet wide
A-20
B-27
C-68
D-80
Answers
Dimensions of bigger box = 4ft x 4ft x 5ft
or, 48 in x 48 in x 60 in (Because 1 ft = 12 inch)
We know that, volume of a cuboid is:
V = length x breadth x height
Volumeo f big box = 48 x 48 x 60
= 138240 cubic inch.
Edge length of cube shape box = 12 inch
For cube, volume = edge^3
Volume of cube = (12)^3
= 1728 cubic inch
Number of cube shaped box that can fit into big box = Volume of big box / Volume of cube shaped box
= 138240 / 1728
= 80
Hence, correct answer is D-80.
You ran 4 miles. Rob ran half as far as you. Tim ran half as far as rob. Nicole ran half as far as tim. Write an expression for how far Nicole ran
Answers
Final answer:
Nicole ran 0.5 miles. The expression for Nicole's running distance, starting from your 4 miles run, is (4 / 2^3) or 4 / 8, which simplifies to 0.5 miles.
Explanation:
Expression for Nicole's Running Distance
The expression to find out how far Nicole ran is based on a sequence of halving distances starting from the original distance you ran. You ran 4 miles. Rob ran half as far as you, so Rob ran 4 miles / 2 = 2 miles. Tim ran half as far as Rob, therefore Tim ran 2 miles / 2 = 1 mile. Finally, Nicole ran half as far as Tim. Hence, Nicole ran 1 mile / 2, which is equal to 0.5 miles.
In a form of an expression, the distance Nicole ran can be represented as:
(4 / 2) / 2) / 2
Or simplified to:
(4 / 2^3)
Or,
4 / 8 = 0.5 miles
The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
Is the height of these students a function of their wrist circumference?
A(Yes because as wrist circumference increases height also increases
B(Yes because a line can be fit to these data to predict other pairings.
C(No because the height of 151 cm is paired with two wrist circumferences.
D(No because the wrist circumference of 16 cm is paired with two heights.
Answers
Answer:
Option D(No because the wrist circumference of 16 cm is paired with two heights.
Step-by-step explanation:
In the given graph we have set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.
x axis represents the wrist circumference while y axis represent the height.
Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.
Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.
HURRY PLZ!!!!!!!!!!!The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 and its length is 19 inches. What is the perimeter of the tray, where the raised edge is? To find the width, use the formula , where w represents the width, A represents the area and l represents the length. To determine the perimeter, use the formula , where P represents the perimeter, l represents the length, and w represents the width
Answers
2*(19+228/19)=62
Hope this helps!
Answer:
62 inches
Step-by-step explanation:
plz mark brainliest
Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)
Of cd =9 what is lm?
Answers
The value of LM = 6.
Let's break down the given transformations for each point:
1. Original point: [tex]\( (x, y) \)[/tex]
2. First transformation: [tex]\( (x+3, y-2) \)[/tex]
3. Second transformation: [tex]\( \left(\frac{2}{3}(x+3)[/tex], [tex]\frac{2}{3}(y-2)\right) \)[/tex]
Now, if CD = 9 in the original triangle, LM can be found using the scale factor of [tex]\( \frac{2}{3} \)[/tex], as the second transformation involves scaling by [tex]\( \frac{2}{3} \)[/tex].
[tex]\[ LM = \frac{2}{3} \times CD \]\\LM = \frac{2}{3} \times 9 \]\\LM = 6 \][/tex]
Therefore, LM = 6.
Help please........................
Answers
(0,0) does not change with the rotation, nor does it change with the dilation.
(2,0) will become (-2,0) with the rotation and (-6,0) with the dilation.
(0,4) goes right around to the - y axis. It become (0,-4) with the rotation. and (0,3*-4) = (0,-12) with the dilation.
There is no way that these triangles are congruent. I could have said that right at the very beginning. But there is a way that they are similar. The angles between them remain unaltered. You can test that out with (0,4) to (0,0) to (2,0) which is a right angle (labeled CAB). No matter what you have done in these two steps, that right angle remains. Dilation other than a dilation of 1 will not produce congruence.
B . <<<< Answer.
I dont know how to set it up. #20 solving equations with variables on both sides.
Answers
1) Cost = 5x + 60
2) Cost = 11x
Where x is the number of lessons.
Since we want to find the value of x (the number of lessons), we can set both equations equal to each other:
5x + 60 = 11x
Subtract 5x from both sides:
60 = 6x
Divide by 6:
x = 10
So it will take 10 lessons till a member and a nonmember pay the same amount.
write as a numerical expression subtract 50 from the sum of 6 and 4 to the tenth power
Answers
The numerical expression for 'subtract 50 from the sum of 6 and 4 to the tenth power' is written as[tex](6 + 4^{10}) - 50,[/tex] following the order of operations.
To write the statement "subtract 50 from the sum of 6 and 4 to the tenth power" as a numerical expression, you would first calculate 4 to the tenth power, then add 6 to this result, and finally subtract 50 from the total sum.
The expression would look like this:
[tex](6 + 4^{10) - 50[/tex]
It's important to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here, you calculate the exponent before adding 6 and then subtract 50 from the result.
how do I solve for x?
Answers
Given: 56 cm of rectangle
Unknown: find x
Length: 2 + x or x + 2
Width: 2x-5
Area = l * w
(x+2)(2x-5)
set x equal to 0
x+2=0 --> x=-2 2x-5=0 --> 2x=5 --> x = 5/2
so the answer we got was x=-2,5/2
we know that x cannot be negative because you can't measure with negative numbers, therefore, 5/2 is your answer
width = b
ab = 56 ---- first equation
a = 2 + x ---- second equation
b = 2x - 5 ---- third equation
substitude second and third equation into the first equation
(2+x)(2x-5) = 56
4x - 10 + 2x^2 - 5x = 56
2x^2 - x - 10 - 56 = 0
2x^2 - x - 66 = 0
(x-6)(2x+11) = 0
x1 = 6 , x2 = - 11/2 ---> - 5.5 (nearest whole num)
kathleen rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 4
Answers
Stevens family traveled 240 miles in 4 hours. What was there average speed in miles per hour?
Answers
Answer:
60mph
Step-by-step explanation:
divide 240 by 4 it's easy that's
how I solve these types of questions so keep that in mind.
Eight times the sum of a number and one is -8
Answers
times= multiply
sum= add
8(x + 1)= -8
multiply 8 by parentheses
(8*x) + (8*1)= -8
8x + 8= -8
subtract 8 from both sides
8x= -16
divide both sides by 8
x= -2
CHECK:
8(x + 1)= -8
8(-2 + 1)= -8
8(-1)= -8
-8= -8
ANSWER: The number is -2.
Hope this helps! :)
Read the complete problem before answering. Teresa bought 2 1/2 gallons of chocolate milk at the dairy farm. Chocolate milk cost $4.50 a gallon. How much did Teresa spend on the milk? A student solved the problem this way. gallons 2 1/2 = 2.5 gallons Let n represent the amount Teresa spent on the milk. n = 2.5 × $4.50 n = $11.25 Teresa spent $11.25. Use a similar strategy to solve this problem. Pedro bought 1 1/4 lb of red sand and 5 1/2 lb of brown sand to refill his sand box. Both types of sand cost $4.60 a pound. How much did Pedro spend on the sand?
Answers
A boat traveling upstream goes 84 kilometers in 7 hours. If the return trip takes only 3 hours, what is the speed (in kilometers per hour) of the boat still in water?
Answers
Speed upstream = 84 ÷ 7 = 12 km/h
Speed downstream = 84 ÷ 3 = 28 km/h
Speed in still water = 1/2(28 + 12) = 20 km/h
Answer: 20 km/h
what are all the properties of a square
Answers
square
The sides of a square are all congruent (the same length.)
The angles of a square are all congruent (the same size and measure.)
Remember that a 90 degree angle is called a "right angle." So, a square has four right angles.
Opposite angles of a square are congruent.
Opposite sides of a square are congruent.
Opposite sides of a square are parallel.
To find the perimeter of a square, just add up all the lengths of the sides.
To find the area of a square, multiply the lengths of two sides together.
To find the length of the diagonal of a square, multiply the length of one side by the square root of 2
The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular.
The diagonals of a square are the same length (congruent).
A square is a rectangle, parallelogram, trapezoid, and rhombus.
Hope this helps!!!
A square is a quadrilateral defined by its properties of equal sides and right angles.
A square is a quadrilateral with four equal sides and four right angles.
Its properties include:
All sides are equal in length
All angles are right angles
The diagonals are equal in length and bisect each other at right angles
find the missing measure in each triangle with the given angle measure ? 45° , 35°,x°
Answers
80 + x = 180
80-80 = 0
180-80 = 100
The answer is x = 100°
Answer:
X=100
Step-by-step explanation:
what is greater 3 x 1/10 plus 4 x 1/100 plus 8x 1/1000 greater than one and two tenths
Answers
3*0.1 + 4*0.01 + 8*0.001 ? 1.2
Multiply:
0.3 + 0.04 + 0.008 ? 1.2
0.348 < 1.2
One and two tenths is larger.
Hopefully this is what you're asking, as this question is unclear
3*0.1 + 4*0.01 + 8*0.001 ? 1.2
Multiply:
0.3 + 0.04 + 0.008 ? 1.2
0.348 < 1.2
One and two tenths is larger
The next step in the solution for which equation could use the distributive property?
A. 4(t-6)=3t+9
B. 4•(t•6)=3t+9
C. 4t-6+3t=9
D. 4•t•1/4=3t+9
Answers
The correct answer is option A, because:
4(t - 6)
Use the distributive property
(4)(t) + (4)(-6)
So yeah, this is how the distributive property works.
Option A is the only option that works with the distributive property.
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!