Answer:
a. $1,240
b. $1,960
c. 9 years
d. 17 years
Step-by-step explanation:
For interest you multiply the percent with 1,000 and add the number you get for your answer. So 1,000 times 6% is 60. Each year the account earns $60 worth of interest. You multiply 60 by 4 and your result is 240. You add 240 to 1,000 and get your answer for a $1,240.
You repeat the same process for b. 16 times 60 is 960. You add 960 and 1,000 and your answer is $1,960.
So we know the account already has $1,000 so all that has to be done is to divide 500 by 60 and your result is 8.3. However you it is anual interest so you cannot but in a decimal so you round up to 9. Making it 9 years
Same process dividing 1,000 by 60 which gives you 16.6 rounding up to 17. Making it 17 years.
Kenosha is having a lunch with 4 of her friends at a fancy restaurant. The bill total is $175.50 if a 20% tip is added onto the total how much each person need to contribute
Answer:
$8.78
Step-by-step explanation:
first you need to find 20% of $175.50
which is 35.10
then you divide 35.10 by 4 leaving you with 8.78
please mark brainliest
A regular octagon has an apothem of approximately 3.5 cm and a perimeter of approximately 23.2 cm.
Find the area of the octagon.
Answer:
81.2 cm
Step-by-step explanation:
Need help with question
Answer:
f(2) = 1
x = 0
Step-by-step explanation:
f(2) = 1 since y=1 when x=2.
f(0) = -3 since x=0 when y=-3
Would this histogram be skewed right or left?
Answer:
Skewed Left
Step-by-step explanation:
Because it's going to the left side, so it has to be skewed left.
solve 5x+y=24x+y=4 use the linear combination method
Answer:
(x,y)=(0,4)
Step-by-step explanation:
write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)
Henry correctly factored 42? + 52 - 6 as (4% - 3)(₴ + 2)
• He then claimed that the zeros of that quadratic function are located at
*=-=
and r = 2 . Did Henry correctly find the zeros of the function?
O Yes, Henry correctly found the zeros of the function.
O No, the zeros of the function are at x = 4 and =-2
• No, the zeros of the function are at z = - 5 andx = 2.
• No, the zeros of the function are at & = 4 and ≥ = -2
I attached the question and answer choices
Please help
Answer:
No, the zeros of the function are at x = 3/4 and x = –2
Step-by-step explanation:
the equation
4x² + 5x – 6 = 0
(note: since there is a coefficient of x² we need to multiply it to the last term(6))
4x² + 5x – 24 = 0
the factors are :- 8x and – 3x
4x² + 8x – 3x – 6 = 0
4x( x + 2) –3( x + 2) = 0
( 4x – 3)( x + 2) = 0
the zeros will be
4x – 3 = 0
4x = 3
\(x = \frac{3}{4} \)
x + 2 = 0
x = – 2
the zeros are x= 3/4 or –2
i hope this helps
if 3/2p = 15 what is p
Answer:
p= 1/10
Step-by-step explanation:
i looked it up
3. Determine the total cost of the automobile after down payment and finance cost. Round your answer to the nearest penny, do not use commas in your answer.
price of car: $46,890.00, percent down: 26%, finance cost: $792.00 per month for 60 months
answer: $___
The cost of the car is $59,711.4.
Since, A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100.
Given here:
Price of the car = $46,890.00,
percent down: 26%,
finance cost: $792.00 per month for 60 months
Thus Total cost= $46,890.00×0.26+60×792
= $12191.4 + $47520
= $59,711.4
Hence, The cost of the car is $59,711.4
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Triangle
RST is graphed on a coordinate plane with vertices
R(-2, -2),
S(5,-1), and
T(-1,-4). Which of the following methods would
prove that triangle
RST is a right triangle? Select ALL that apply.
A. Applying the slope formula on each of the sides and showing that two of the slopes are negative reciprocals.
B. Applying the distance formula on each of the sides and showing that the three lengths satisfy the converse of the Pythagorean Theorem.
C. Applying the midpoint formula on two of the sides and showing that the segment with the two midpoints as endpoints is half the length of the third side.
Answer:
A. and B.
Step-by-step explanation:
A rectangular prism has a length of 3 1/2 feet, a width of 5 1/3 feet, and a height of 12 feet. What is the volume of the prism?
Answer:
The answer is 1054ft³
Step-by-step explanation:
Volume of rectangular prism =1/3LWH
V=1/3×31/2×51/3×12
V=1054ft³
Which rational number is less than 4/9
Answer:
Step-by-step explanation:
The number 4/9 is a rational number. It is a ratio, or fraction, made up of two integers, 4 and 9. So a rational number less than 4/9 will be any fraction less.
look at the picture
Answer:
Welll by the looks of it do the last one then > then do the other big number. Hopefully i helped :)))))))))))))))))))))))))))))))))))))))))))))))))))))))
Step-by-step explanation:
The following is a list of wait times, in minutes, at the DMV. is the mean, median, or mode likely to be the best measure of the center for the data set? 31, 32, 31, 34, 30, 30, 31, 31, 30, 31
For the given data set 31, 32, 31, 34, 30, 30, 31, 31, 30, 31, median is the best measure of the center.
The given data set is 31, 32, 31, 34, 30, 30, 31, 31, 30, 31.
In this data set, the best measure of the center would likely be the median.
The data set is relatively small and seems to have a repeated value (30), which could potentially skew the mean.
The median, on the other hand, would provide a more representative measure of the central tendency as it is not affected by outliers or repeated values as much as the mean or mode.
Hence, median is the best measure of the center for the data set.
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my notes use implicit differentiation to find an equation of the tangent line to the curve at the given point.
The equation of the tangent line to the curve at the point (2,4) is y = (-1/2)x + 5.
To use implicit differentiation to find an equation of the tangent line to the curve at the given point (2,4), we need an implicit equation of the curve. Let's assume the curve is given by the equation:
x² + y² = 16
We can use implicit differentiation to find the slope of the tangent line at any point on this curve. Taking the derivative of both sides with respect to x, we get:
2x + 2y (dy/dx) = 0
Simplifying for (dy/dx), we get:
dy/dx = -x/y
Now we can substitute the given point (2,4) into this equation to find the slope of the tangent line at that point:
dy/dx = -2/4 = -1/2
So the slope of the tangent line at (2,4) is -1/2. We can use this slope and the point-slope form of the equation of a line to find an equation of the tangent line. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the given point. Substituting the values, we get:
y - 4 = (-1/2)(x - 2)
Simplifying, we get:
y = (-1/2)x + 5
Therefore, the equation of the tangent line to the curve at the point (2,4) is y = (-1/2)x + 5.
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Complete question:
Use implicit differentiation to find an equation of the tangent line to the curve at the given point (2,4)
Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Please answer this correctly
Answer:
676
Step-by-step explanation:
lxw
14x35
4x24
6x15
676
Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
Still timed. More math needing help with, i'll double points and mark brainliest! 1. (y - 6) (y + 3) 2. (4x - 5) (x - 7) 3.(3x - 2) ( 4x - 1)
Answer:
1. y² - 3x - 18
2. 4x² - 33x + 35
3. 12x² - 11x + 2
Step-by-step explanation:
All we do with these questions are expanding the factored binomials. Use FOIL:
1. y² + 3y - 6y - 18
y² - 3y - 18
2. 4x² - 28x - 5x + 35
4x² - 33x + 35
3. 12x² - 3x - 8x + 2
12x² - 11x + 2
Answer:
1) (y-6) (y+3)
=> \(y^2+3y-6y-18\)
=> \(y^2-3y-18\)
2) (4x-5) (x-7)
=> \(4x^2-28x-5x+35\)
=> \(4x^2-33x+35\)
3) (3x - 2) ( 4x - 1)
=> \(12x^2-3x-8x+3\)
=> \(12x^2-11x+3\)
How are we supposed to find the Perimeter?
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures
Answer:
1. second
2. -200
Step-by-step explanation:
Just did it on e2020
Number 22. The local toy store sells a package of 7 different shaped erasers for 4.20 $ what is the unit cost of each eraser in the package
Answer:
$4.20 / 7 erasers = $0.60 per eraser
So each eraser in the package costs $0.60.
Solve the following integral.
\(\int4x\cos(2-3x)dx\)
Hi there!
\(\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}\)
To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:
\(-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C\)
Answer:
this is your answer look it once
A family is planning their vacation to Disney World. They will drive from a small town outside New Orleans,
Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this
trip take?
The time taken for the trip will be 12.7 hours.
How to calculate the value?It should be noted that time taken is calculated as:
Time = Distance / Speed
Distance = 700 miles
Speed = 55 mph
Time = 700/55
Time = 12.7 hours.
Therefore, the time taken for the trip will be 12.7 hours.
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Please help
Solve the equation.
2 x/-10=2/5
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
help asap plspls !! :)
Answer:
16/9 pounds or 1.667... pounds
Step-by-step explanation:
8/9 + 1/9 = 1
2/3=6/9
1 + 6/9 = 16/9 or 1.667
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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