The total cost to the nearest cent is $194.25
How to calculate the total cost ?The TV costs of $185
The markup is 5%
The total cost can be calculated as follows
185 + (185 × 5/100)
= 185 + (185 × 0.05)
= 185 + 9.25
= 194.25
Hence the total cost to the nearest cent is $194.25
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If the point (4,1) is a point on the graph of f, then f( __ )____.
A list of facts from which a c conclusion can be drawn
Answer:
fjfj dhfj dh. hfhc hfh hfh hfh hfh hcdh
Find the unit price.
$6.42 for 3 pounds
Answer:
$2.14 per pound
Step-by-step explanation:
To find this: do 6.42 divided by 3, will give you the unit price
use each graph to determine an equation of the circle in (a) center radius form and (b) general form
The graph to determine an equation of the circle in
(a) center radius form
(b) general form
(x -3)² +(y -1)² = 4 . . . . center-radius form
x² +y² -6x -2y +6 = 0 . . . . general form
The "center-radius" form is
(x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r
The graphed circle has its center at (3,1) and a radius of 2. Putting these numbers into the above form gives the equation
(x -3)² +(y -1)² = 4 . . . . center-radius form
Expanding the parentheses, we get
x² -6x +9 +y² -2y +1 = 4
Subtracting 4, and putting in general form, the equation becomes ...
x² +y² -6x -2y +6 = 0 . . . . general form
a graph (inclusive of a sequence of one or greater factors, strains, line segments, curves, or areas) that represents the variant of a variable in assessment with that of one or greater other variables. the gathering of all factors whose coordinates fulfill a given relation (inclusive of a function)
A graph of a function is a unique case of a relation. within the modern foundations of mathematics, and, generally, in set theory, a function is clearly same to its graph. however, it is regularly useful to look functions as mappings, which consist no longer best of the relation among enter and output, but additionally which set is the domain, and which set is the codomain. as an instance, to mention that a characteristic is onto (surjective) or not the codomain have to be taken under consideration
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A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.70mm. Would this outcome warrant a refund (meaning that it would be unusual)?
Probability of 0.79 and would not warrant a refund
Probability of 0.21 and would not warrant a refund
Probability of 0.79 and would warrant a refund
Probability of 0.21 and would warrant a refund
The probability of 0.21 and would not warrant a refund. Therefore, option A is the correct answer.
Given that, mean depth =0.98 mm, standard deviation =0.35 mm.
What is a standard deviation?In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
We are given that the distribution of tire tread is a bell-shaped distribution that is a normal distribution.
Formula: [tex]Z_{score}=\frac{x-\mu}{\sigma}[/tex]
Here, P(depth less than 0.70 mm)
P(x < 0.70)
Then, P(x < 0.70)=P(z<(0.70-0.98)/0.35)
=P(z<(-0.8)
Calculating from the normal z table, we get P(z<(-0.8)=0.212
≈0.21
Thus, the probability of 0.21 and would not warrant a refund. Therefore, option A is the correct answer.
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Katie is selling lemonade for $1.50 per cup. She
decides to put them on sale for $0.90. What percent
discount did she give on her lemonade?
Answer:
60 percent
Step-by-step explanation:
just do 90/150, and yo get 60 percent
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
A.-1
B.3/5
C.-5/3
D.1
Answer:
A) -1
Step-by-step explanation:
Zane has 5 2/5 of soil for his garden. Each bag of soil will cover 20 square feet. How many square feet will zane be able to cover if he uses all these bags of soil?
Write in Interval form/notation
Answer: (-∞, -1] and (0, 2)
Step-by-step explanation:
Can't compare f(x) = x+1 when x<=0 with g(x)=x+1 when x>-1 since the functions are equal between -1<x<=0.
Compare f(x) = 3 when x>0 with g(x)=x+1 when x>-1
g(x) can't be greater than or equal to f(x):
g(x)<f(x)
x+1<3
x+1-1<3-1
x<2 and x>0 ==> 0<x<2
0<x<2 ==> (0, 2) ==> x is between 0 and 2 not including 0 and 2.
Compare f(x) = x+1 when x<=0 with g(x)=2x when x<=-1. Both equations have common x-values at x<=-1.
g(x)<f(x)
2x<x+1
2x-x<x-x+1
x<1 and x<=-1 ==> x<=-1
x<=-1 ==> (-∞, -1] ==> x is between -∞ and -1 not including -∞ but including -1.
(-∞, -1] and (0, 2)
Match the polynomial on the left with the appropriately factored expression on the right.
4x² + 18x
2x(2x + 1)
4x² + 2x + 18x +9
2x(2x + 9)
(2x + 1)(2x +9)
(2x + 3)(2x + 3)
The polynomials that match with other equivalent expressions are :
(a) → (iii), (b) → (ii), (c) → (iv), (d) → (i)
Consider the polynomials,
(a) 4x² + 18x (i) 2x(2x + 1)
(b) 4x² + 2x + 18x +9 (ii) (2x + 1)(2x +9)
(c) (2x + 3)(2x + 3) (iii) 2x(2x + 9)
(d) 4x² + 2x (iv) 4x² + 12x + 9
Now,
Consider the polynomial 2x(2x + 1),
2x(2x + 1) = 2x(2x) + 2x(1)
2x(2x + 1) = 4x² + 2
Therefore, (d) is equal to (i).
Consider the polynomial 2x(2x + 9),
2x(2x + 9) = 2x(2x) + 2x(9)
2x(2x + 9) = 4x² + 18x
Therefore, (a) is equal to (iii).
Consider the polynomial (2x + 1)(2x +9) ,
(2x + 1)(2x +9) = (2x)(2x) + (2x)(9) + (2x)(1) + 9
(2x + 1)(2x +9) = 4x² + 18x + 2x + 9
Therefore, (b) is equal to (ii).
Consider the polynomial (2x + 3)(2x + 3),
(2x + 3)(2x + 3) = (2x)(2x) + (2x)(3) + (3)(2x) + 9
(2x + 3)(2x + 3) = 4x² + 12x + 9
Therefore, (c) is equal to (iv).
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The complete question is mentioned below:
Match the polynomial on the left with the appropriately factored expression on the right.
(a) 4x² + 18x (i) 2x(2x + 1)
(b) 4x² + 2x + 18x +9 (ii) (2x + 1)(2x +9)
(c) (2x + 3)(2x + 3) (iii) 2x(2x + 9)
(d) 4x² + 2x (iv) 4x² + 12x + 9
What is the equation, in point-slope form, of the line that
is parallel to the given line and passes through the point
(-3, 1)?
Oy-1=-(x+3)
Oy-1=-(x+3)
Oy-1= (x+3)
Oy-1= (x+3)
The equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
What is point slope form?One of the most popular ways to represent a linear equation is in point-slope form, which has the following structure:
y - y1 = m(x - x1) (x - x1),
where (x1, y1) is a point on the line, m is the slope, and x and y are variables that denote further points along the line. When one point on the line and the slope are known, the point-slope form can be employed. Given that at least one point and the slope of the line are known, it is helpful for locating further points on a line.
According to the given values;
Equation of a line in point-slope form
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
where:
m is the slope
(x0,y0) is the point on the line
The slope of the given line is as shown:
Slope = 2-(-4)/2-(-2)
Slope = 2+4/2+2
Slope = 6/4 = 3/2
Substitute the slope and the point
y - 1 = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
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(NEED HELP FAST!! 100 POINTS!!) The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
The total price of the financed is $7,973
The total finance charges are $2,272.31
The monthly payment if the vehicle is financed for 3 years is $284.59
What is the impact of trade-in allowance on selling price?
The trade-in allowance on the car's selling price reduces the total amount the car dealer would charge a tax of 8% on.
selling price net of trade in allowance=$8850-$1500
selling price net of trade-in allowance=$7,350
the selling price plus sales tax=$7350*(1+8%)
the selling price plus sales tax=$7,938.00
total cost including title fee =$7,938+$35
total cost including title fee=$7,973
finance charges for 3 years=$7,973*9.5%*3
finance charges for 3 years=$2,272.31
monthly payment=($7,973+$2,272.31)/36
monthly payment=$284.59
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Macmillan Learning
The table contains information on the price per month and the monthly demand and supply of online music streaming
subscriptions.
Price Quantity demanded (thousands)
$9.80
270
$10.00
230
$10.20
180
$10.40
100
What is the quantity demanded at $10.20?
What is the quantity supplied at $10.20?
At what price
the quantity supplied equal to 200,000?
Using linear functions and the given table, it is found that:
The quantity demanded at $10.20 is of 170,000 of subscriptions.The quantity supplied at $10.20 is of 290,000 of subscriptions.The quantity supplied will be equal to 200,000 at a price of $9.87.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.From the table, we have that:
The quantity demanded at $10.20 is of 170,000 of subscriptions.The quantity supplied at $10.20 is of 290,000 of subscriptions.For the supply equation, we have two points:
(9.8, 190), (10, 220).
Hence the slope is given by:
m = (220 - 190)/(10 - 9.8) = 150.
Hence:
y = 150x + b.
When x = 9.8, y = 190, hence:
190 = 150(9.8) + b
b = -1280.
Hence:
y = 150x - 1280.
We want to find x when y = 200, hence:
200 = 150x - 1280
x = 1480/150
x = $9.87.
The quantity supplied will be equal to 200,000 at a price of $9.87.
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what would be the answer to this (9-3×2)²
144?
9
Step-by-step explanation:
PEMDAS
inside parentheses we have 3*2 = 6
9-6 =3
3^2 = 9
Quadrilateral ABCD has coordinates A (0, 2), B (3, 4), C (4,2), D (3,0). Determine the coordinates of the vertices of A'B'C'D' after a translation along vector < 2, -3>.
The coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.
What is translation?The translation is the action of moving the image's position relative to the coordinate system. The points are translated on a coordinate plane.
Given that quadrilateral, ABCD has coordinates A (0, 2), B (3, 4), C (4,2), and D (3,0).
The translation of the points will be done as below:-
A(0, 2) ⇒ ( 2, -1 )
B (3, 4) ⇒ ( 5, 1)
C (4,2) ⇒ ( 6, -1)
D (3,0) ⇒ ( 5, -3)
Therefore, the coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.
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What is the sum of the 22 solutions of the equation x^2-4x-45=0x
2
−4x−45=0 ?
The solution for the equation x² – 4x – 45 = 0 is (x – 9) (x + 5)
Given,
Quadratic equation = x² – 4x – 45
We can solve this by using quadratic formula.
Equations of the form ax² + bx + c = 0 can be solved using quadratic formula.
Here the equation is in the form of above mentioned:
x² – 4x – 45 = 0
Quadratic formula = [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the values in the formula,
x = [tex]\frac{-(-4)(+-)\sqrt{(-4)^{2}-4(-45) } }{2}[/tex]
x = [tex]\frac{4(+-)\sqrt{16 -4(-45)} }{2}[/tex]
x = [tex]\frac{4(+-)\sqrt{16+180} }{2}[/tex]
x = [tex]\frac{4(+-)\sqrt{196} }{2}[/tex]
x = [tex]\frac{4(+-)14}{2}[/tex]
Now, solve the equation for:
x = [tex]\frac{4+14}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9
Next, solve the equation for:
x = [tex]\frac{4-14}{2}[/tex] = [tex]\frac{-10}{2}[/tex] = -5
According to ax² + bx + c = a(x - x₁) (x - x₂),
Here, x₁ is 9 and x₂ is -5
So,
x² - 4x - 45 = ( x - 9) (x - (-5))
That is,
x² - 4x - 45 = (x - 9) (x + 5)
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Which expression is equivalent to 12(5 - 4x)?
Answer:
12x
Step-by-step explanation:
12(5-4x)=60-48x
=12x
Mrs Rama uses three types of fruit juice for a party. The ratio of the amount of watermelon juice to the amount of apple juice is 4: 9. The Ratio of the amount of apple juice to the amount of orange juice is 27: 14. Find the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form
the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.
The ratio of the amount of watermelon juice to the amount of apple juice = 4 : 9
This can also be written as:
4 × 3 : 9 × 3
12 : 27
The ratio of the amount of apple juice to the amount of orange juice = 27 : 14
Now, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice will be:
Ratio = 12 : 27 : 14
Therefore, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.
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Write in slope - intercept form
14x -7y = 21
Answer: y = 2x - 3
Step-by-step explanation:
y = mx + b
y + 2x - 3
I need help with this stat
Answer:
2,835
Step-by-step explanation:
63 x 5 = 315
63 x 4 = 252
315
+2520
2835
W contains the top movies of 2014 according to Time Magazine. If W= {The Grand Budapest Hotel, Boyhood, The LEGO Movie, Lucy, Goodbye to Language, Jodorowsky's Dune, Nightcrawler, Citizenfour}, how many subsets does W contain?
Answer:
256
Step-by-step explanation:
The number of subsets of a set with n elements is 2^n.
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.
What is the range of the given function?
{x | x = –5, 1, 4, 6}
{y | y = –7, –1, 0, 9}
{x | x = –7, –5, –1, 0, 1, 4, 6, 9}
{y | y = –7, –5, –1, 0, 1, 4, 6, 9}
The range of the given function is B. {y | y = –7, –1, 0, 9}
How to illustrate the information?It should be noted that ee usually denote independent variable as x and dependent variable as y.
The range of a function is basically the set of all resulting y-values.
Given the first column is labeled x with entries - 5, 1, 4, 6. The second column is labeled y with entries 9, 0,-7, -1.
Then, the range of the given function = values in second columns
i.e. Range={y | y = –7, –1, 0, 9} [Arranged in order].
In conclusion, the correct option is B.
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Use the following commission schedule to find the total graduated commission in Problems 5–8. Chart is in picture. Show work
Please help
Using proportions, the commissions are given as follows:
5. a. $200. b. $0. c. $0. d. $200.
6. a. $250. b. $200. c. $0. d. $490.
7. a. $250. b. $800. c. $300. d. $1350.
8. a. $250. b. $800. c. $1250. d. $2300.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For item 5, the amount is less than $5,000, hence there is a single commission of 5%, as follows:
0.05 x 4000 = $200.
Hence the amounts are:
a. $200. b. $0. c. $0. d. $200.
For item 6, the commissions are divided as follows:
5% of the first $5,000: 0.05 x 5000 = $250.8% of the next $3,000: 0.08 x 3000 = $240.For a total of $490, as 250 + 240 = 490.
Hence the amounts are:
a. $250. b. $200. c. $0. d. $490.
For item 7, the commissions are divided as follows:
5% of the first $5,000: 0.05 x 5000 = $250.8% of the next $10,000: 0.08 x 10000 = $800.10% of the final $3,000: 0.1 x 3000 = $300.For a total of $1,350, as 250 + 800 + 300 = 1350.
Hence the amounts are:
a. $250. b. $800. c. $300. d. $1350.
For item 8, the commissions are divided as follows:
5% of the first $5,000: 0.05 x 5000 = $250.8% of the next $10,000: 0.08 x 10000 = $800.10% of the final $12,500: 0.1 x 12500 = $1,250.For a total of $2,300, as 250 + 800 + 1250 = 2300.
Hence the amounts are:
a. $250. b. $800. c. $1250. d. $2300.
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m = -7.6, y-intercept
(0,2/5)
Answer:12
Step-by-step explanation:
cuz yes
When multiplying a number by 10 move the decimal to the right. When multiplying a number by .01 move the decimal to the left. Why
The reason why multiplying a number by 10 moves the decimal to the right is because the number is increasing. When the decimal moves left when multiplied by 0.01, the number is decreasing.
What happens when you multiply by powers of 10?When you multiply by powers of 10 which are positive, the number that is being multiplied will see its decimal move to the right. This is to show that the number is now increasing in value.
When you multiply by 0.01 however, the number will decrease and so the decimal will have to move left to show that the value of the number has decreased. For instance, 50 x 0.01 becomes 0.5.
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Hans went to a store and bought 3 items. Each item costs the same. He spent $21. How much did each item cost?
Answer:
$7
Step-by-step explanation:
If the total spending is $21, and he bought 3 items, we have to divide 21 by 3 and that makes 7
Hope it helped!
Answer:
7
Step-by-step explanation:
because each item is the same
let the item be 3x=21(given)
so x=21/3
therefore x = 7
come on this is easy
Place the numbers in order from least to greatest.
= 0.059
0.11
0.09
0.0099998
0.111
The order of numbers from least to greatest :
0.0099998 < 0.059 < 0.09 < 0.11 < 0.111 .
Given, numbers 0.059 , 0.11 , 0.09 , 0.0099998 , 0.111 .
Ascending order : When the set of numbers are to be arranged in least to greatest order.
Descending order : When the set of numbers are to be arranged in greatest to least order.
Now the numbers are to be arranged in ascending order.
Least number : 0.0099998
Second least number : 0.059
Third least number : 0.09
Fourth least number : 0.11
Greatest number : 0.111
Thus the order of numbers in ascending order will be least to greatest .
0.0099998 < 0.059 < 0.09 < 0.11 < 0.111
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Ana's gymnastics
scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number.
15/ Finley's vault score is 15.050. How does
The digits for the missing number are 1, 2, 3, 4.
The difference between her vault score and her uneven bar score is 0.367
How to illustrate the information?The floor score must be higher than 15.133 and lower than 15.500
The missing digit must be an integer.
Then all the possible scores are: 15.166 , 15.266 , 15.366 and 15.466
Because 15.166 > 15.133 and 15.466 < 15.500
Then all the possible digits are 1 , 2 , 3 , 4
The difference between her vault score and her uneven bar score is
= 15.500 - 15.133
= 0.367
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Ana’s gymnastics scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number.
Vault- 15.500
Floor- 15._66
Uneven Bars- 15.133
Beam- 14.200
What is the difference between her vault score and her uneven bar score?
write the equation of the line that passes through the points (1, 7) and (-3, -1)
Answer:
y = 2x + 5
Step-by-step explanation:
The slope is
[tex]\frac{-1-7}{-3-1}=2[/tex]
Substituting into point-slope form, we get the equation to be
[tex]y-7=2(x-1)[/tex]
which rearranges into slope-intercept form as:
[tex]y-7=2x-2 \\ \\ y=2x+5[/tex]
Triangle PQR with vertices P(-4, 0), Q(-6, -3), and R(-5,-5):
a) reflection in the line x = -2
b) dilation with scale factor of 3 using (-1, -4) as the center
a) reflection in the line x = -2 is P'Q'R' is shown.
b) The coordinates of image P'Q'R' are
(-12, 0), (-18, -9), R(-5,-5) respectively.
What is defined as the dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making objects larger or smaller. This transformation yields an image that is identical to the original shape. However, there is a size difference in the shape.Part a) reflection in the line x = -2
When the triangle PQR with the coordinates P(-4, 0), Q(-6, -3), and R(-5,-5) made a reflection along the x = -2, the coordinates of the image are obtained as;
See the graph; image triangle P'Q'R';
P' = (0, 0)
Q' = (2, -3)
R' = (1, -5)
Part b) dilation with scale factor of 3 using (-1, -4) as the center.
Let the coordinates are;
(x, y) ---> (kx, ky); where k is the scale factor i.e, 3.
This can be written as; (3x, 3y).
For the point P(-4, 0).
The image of P' = (-4×3, 0×3) = (-12, 0)
For the point Q(-6, -3)
The image of Q' = (-6×3, -3×3) = (-18, -9)
For the point R(-5,-5)
The image of P' = (-5×3, -5×3) = (-15, -15)
Therefore, the image with the dilation of scale factor of 3 is P'Q'R' are
(-12, 0), (-18, -9), R(-5,-5) respectively.
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