Answer:
17.764% up
Step-by-step explanation:
i hope this helped
The required percentage markup from the cost price to the retail price is 1.25%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
An armchair was then discounted by 10% to a sale price of $427.50.
Cost of armchair then = 427.50 - 10% × 427.50
The cost of the armchair then = $384.75.
Now, the cost of the armchair is given $380.
Percentage mark up is given as = 387.75 - 380 / 380 × 100% = 1.25%
Thus, the required percentage markup from the cost price to the retail price is 1.25%.
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Identify a1 and r for the geometric sequence defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1 a1 = r =.
Answer:
Identify a1 and r for the geometric sequence
defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1
a1 =
-256
r =
-1/4
Approximate the sum of the first 17 terms to the nearest tenth.
Sum =
-204.8
Step-by-step explanation:
The value [tex]a_1[/tex] is -256.
The value r = -1/4
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
In a geometric sequence,
Each term is obtained by multiplying the preceding term by a constant factor, which is called the common ratio (r).
So,
The nth term of the sequence.
[tex]a_n[/tex] = -256 x [tex](-1/4){n-1}[/tex]
Now,
[tex]a_1[/tex] = -256 x [tex](-1/4)^{1 -1}[/tex]
= -256 [tex](-1/4)^0[/tex]
= -256 x 1
= -256
[tex]a_2[/tex] = -256 x [tex](-1/4)^{2-1}[/tex]
= -256 x [tex](-1/4)^1[/tex]
= -256 x -1/4
= 64
Now,
[tex]a_1[/tex] r = [tex]a_2[/tex]
-256 x r = 64
r = 64 / -256
r = -1/4
Therefore,
[tex]a_1[/tex]= -256 and r = -1/4
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FIRST PART OF MY LAST QUESTION ONLY FOR ONE PERSON TO uSE
Answer:
C
Step-by-step explanation:
You just need to convert some of the mixed numbers so that they have a denominator (of the fraction part) as 8:
10 4/8 = 10 1/2
10 6/8 = 10 3/4
11 2/8 = 11 1/4
Which of the following modifications to the list of assets and liabilities below would result in a positive net worth? Home owned $105,000. Mortgage owed $100,000. Car valued at $26,000. Car loan of $22,000. Investment fund of $4,500. Savings of $1,500. Credit card balance of $15,000. A. Lowering mortgage by $1,000. B. Increasing investment fund by $500. C. Adding $100 to savings. D. All of the above. Please select the best answer from the choices provided A B C D.
Answer:
I think its D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Can you please simplify these expressions in two forms: radical and simplified without exponents?
I don't really understand how fractional exponents work, so an explanation would be appreciated.
27^4/3
36^3/2
(1/8)^2/3
128^5/7
Thank you :)
Answer:
(a.) 27^4/3 = 81, (b.) 36^3/2 = 216, (c.) (1/8)^2/3 = 1/4, (d.) 128^5/7 = 32
Step-by-step explanation:
All these expressions can be converted in square roots.
In order to do this, we can picture the fractional exponents as exponent / index
(a.) So for this first problem, we would have the cube root of [tex]27^{\frac{4}{3} }[/tex] or
[tex]\sqrt[3]{(27)^{4} }[/tex].
We must do the equation inside the radical first (i.e., [tex](27)^{4}[/tex]) to get [tex]\sqrt[3]{531,441}[/tex] = 81
We can follow these same steps for the remaining equations:
(b.) [tex]36^{\frac{3}{2} }[/tex] = [tex]\sqrt{(36)^3}[/tex] = [tex]\sqrt{46,656}[/tex] = 216
(c.) [tex](\frac{1}{8})^\frac{2}{3}[/tex] = [tex]\sqrt[3]{(\frac{1}{8})^{2} }[/tex] = [tex]\sqrt[3]{(\frac{1^2}{8^2}) }[/tex] = [tex]\sqrt[3]{(\frac{1}{64}) }[/tex] = [tex]\frac{1}{4}[/tex]
(d.) [tex]128^{\frac{5}{7} }[/tex] = [tex]\sqrt[7]{(128)^{5} }[/tex] = 32
Look at the shaded shapes drawn on a square grid.
A
B
Steven says:
The area of rectangle A is double the area of square B.
Is he correct?
Explain your answer:
Answer:
No. Steven is not correct.
Step-by-step explanation:
The area of shape A is 15 (either multiply 5 x 3 or just count squares). The area of shape B is 9.
15 is not double 9.
5) −r − 10r 6) −2x + 11 +6x 7) 11r − 12r 8) −v + 12v 9) −8x −11x 10) 4p + 2p
pls help me simplify this
7. Which expression is equivalent to -2v + (-4) +8+(-3)?
A.-5v
b. 7v
c. -6v+5
d. -5v+4
Answer:
the answer would be answer d.5v+4
hey can someone please give me a step by step explian the answer
Answer:
x = 9/2
Step-by-step explanation:
The outside triangle is also a right triangle, with hypotenuse 8 and side 6.
The missing side can be calculated with pythagoras as:
[tex]\sqrt{8^2-6^2} = \sqrt{28}[/tex]
Now for the vertical line, lets call it y, which is a side for two "back to back" triangles, you can do pythagoras twice:
left triangle: [tex]y^2 + (8-x)^2 = 28[/tex]
right triangle: [tex]y^2 + x^2 = 6^2[/tex]
Eliminating y², you can solve:
[tex]28 - (8-x)^2 = 36 - x^2[/tex]
[tex]28 -x^2 + 16x - 64 = 36 - x^2[/tex]
[tex]16x = 36 + 64 - 28[/tex]
[tex]x = \frac92[/tex]
PLEASE HELP ME!! I ALREADY DID THE FIRST ONE BUT IM SO CONFUSED ABOUT THE OTHERS!!!
Answer:
i) 134
ii) Number of bottles sold on Tuesday: [tex]\dfrac{x}{45}[/tex]
iii) Number of bottles sold on Wednesday: [tex]\dfrac{(x-75)}{48}[/tex]
iv) [tex]x=3915[/tex]
Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday
Step-by-step explanation:
i) You need to ensure that the values are both in the same format (either both in dollars, or both in cents).
45 cents = 45/100 dollars = 0.45 dollars
60.30 ÷ 0.45 = 134
ii) both values are in cents, so no need to convert one of them.
Let n be the number of bottles sold.
So 45n = x
Therefore, n = x/45
ii)
Let n be the number of bottles sold.
So 48n = (x - 75)
Therefore, n = [tex]\dfrac{(x-75)}{48}[/tex]
iv)
Number of bottles sold on Tuesday: [tex]\dfrac{x}{45}[/tex]
Number of bottles sold on Wednesday: [tex]\dfrac{(x-75)}{48}[/tex]
If the number of bottles sold on Tuesday was 7 more than those sold on Wednesday:
[tex]\implies \dfrac{x}{45}-7=\dfrac{(x-75)}{48}[/tex]
multiply both sides by 48:
[tex]\implies \dfrac{48x}{45}-336=x-75[/tex]
multiply both sides by 45:
[tex]\implies 48x-15120=45x-3375[/tex]
[tex]\implies 3x=11745[/tex]
[tex]\implies x=3915[/tex]
Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday
Describe the steps you would use to factor the
trinomial 4x2 - 4x - 3.
-
Answer:
5-4x
Step-by-step explanation:
8 - 4x - 3
5 - 4x
Use given triangle to fill in the blank.
Answer:
The choice first
[tex] \tan(x) = \frac{12}{5} [/tex]
Through observation and surveys, Dr. Thompson was able to determine how much time a sample of children spent playing outside. What type of research is this
The type of research that's illustrated in this case is a descriptive study.
What is a descriptive study?Descriptive study simply means a study where information is collected without changing the environment.
Since Dr. Thompson was able to determine how much time a sample of children spent playing outside, this is a descriptive study.
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Please I’m confused…
Answer:
I believe it should be
4 : 1 : 200
Step-by-step explanation:
Write the equation in standard form. Identity the center and radius.
x² + y2 + 8x-4y-7=0
Answer:
equation;
[tex](x + 4) {}^{2} + (y - 2) {}^{2} = 27[/tex]
Center (-4,2)
Radius is
[tex]3 \sqrt{3} [/tex]
Step-by-step explanation:
Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of
[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
Where (h,k) is center
r is the radius
So first we group like Terms together
[tex] {x}^{2} + 8x + {y}^{2} - 4y - 7 = 0[/tex]
Add 7 to both sides
[tex] {x}^{2} + 8x + {y}^{2} - 4y = 7[/tex]
[tex]( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7[/tex]
Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem
[tex] (\frac{8}{2} ) {}^{2} = 16[/tex]
and
[tex]( - \frac{4}{2} ) {}^{2} = 4[/tex]
so we have
[tex] {x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4[/tex]
[tex] {x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27[/tex]
[tex](x + 4) {}^{2} + (y - 2) {}^{2} = 27[/tex]
To find our center, h is -4 and k is 2
so the center is (-4,2)
The radius is
[tex] \sqrt{27} = 3 \sqrt{3} [/tex]
So the radius is 3 times sqr root of 3.
please answer as soon as possible!! (50 points)
Answer:
I think its the first one
Step-by-step explanation:
Krista’s mom has told her she need to make the pen 21 the size that she had planned (5 feet long by 4 21 feet wide). What will the area be? What are two possible lengths and widths she could use?.
The area of Krista’s mom new pan is 11 1/4 ft² and two possible dimensions are (5 , 4 1/2) and (4 1/2 , 2 1/2)
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The dimensions of pan which, Krista’s mom, had planned is 5 feet long by 4 1/2 feet wide. Therefore, the length of the pen is 5 feet and the width of the pan is 4 1/2 feet.
Thus, the area of this rectangular pan is,
[tex]A=5\times4\dfrac{1}{2}\\A=5\times\dfrac{9}{2}\\A=22\dfrac{1}{2}\rm ft^2[/tex]
The area of the pan is 22 1/2 ft².
Now, Krista’s mom has told her she needs to make the pen 1/2 the size. Thus the area of new pan is,
[tex]A=\dfrac{22\dfrac{1}{2}}{2}\\A=\dfrac{\dfrac{45}{2}}{2}\\A=\dfrac{45}{4}}\\A=11\dfrac{1}{4}}\\[/tex]
For this area, possible dimensions are 4 1/2 and 2 1/2.
Hence, the area of Krista’s mom new pan is 11 1/4 ft² and two possible dimensions are (5 , 4 1/2) and (4 1/2 , 2 1/2)
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What number is plotted on the number line?
Answer:
The number 0.7 is plotted on the number line.
Answer:
0.7.Step-by-step explanation:
Count up 0 to 1.
Stop at the point.
If you stop at the point, you should know what the point is.
The point is graphed at 0.7.
2) What percent of 87 is 55 ?
Answer:
If you don't add decimals a 63.
Step-by-step explanation:
because 55 out of 87 correct on a test would be a 63%
Triangle ABC is equilateral, what is the value of X, What is the measure of angle B
Answer:
x = [tex]\sqrt{48}[/tex]
Angle B = 60 degrees
Step-by-step explanation:
Since the triangle is equilateral, we know that all sides will be 8 units long. Side CB is split in half so each half (CD and DB) are 4 units long. Side CA is 8 units long and is the hypotenuse for triangle ACD. To find the unknown side (AD aka x):
4^2 + x^2 = 8^2. use the pythagorean theorem
16 + x^2 = 64. subtract 16 from both sides
x^2 = 48. take the square root of both sides
x = [tex]\sqrt{48}[/tex]
For angle B, we know that all the angles in triangle ABC will be the same since it is an equilateral triangle.
180/3 = 60. total sum of all angles in a triangle will be 180 so divide that by total angles (3)
Angle B = 60 degrees
The value of x is 6.92 units.
The measure of angle B is 60 degree.
What is Pythagoras theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
Given:
Since the triangle is equilateral all sides will be 8 units long.
and, CD or DB = 1/2 (CB)
= 4 units long.
Now, In ΔACD using Pythagoras theorem
4² + x² = 8²
16 + x² = 64
x² = 48
x = 6.92 unit.
and, We know all three angles of Equilateral triangle are Equal in measure.
So, 180/3 = 60.
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Fourteen equals fifteen decreased
by an unknown number.
Answer:
14 = 15 - x
Step-by-step explanation:
14 = 15 - x
14 = 15 -1
14 = 14
Hope this helps!
I don't know what I'm suppose to do with the minus .Solve the inequality: 10 ≤ 7 - x
Answer:
Step-by-step explanation:
10 ≤ 7 - x
Add x to both sides
10 +x ≤ 7 -x + x
10 +x ≤ 7
Subtract 10 from both sides
10 - 10 + x≤ 7 - 10
x ≤ -3
x = { ....... -4, -3}
Bri and Annamarie are picking strawberries at two different strawberry farms that charge a flat fee plus a cost per basket picked. The graph shows the total cost for Annamarie based on the number of baskets of strawberries picked.
The equation y = 3.25x + 5.5 shows the total cost for Bri with y representing the cost and x representing the number of baskets picked.
Which statements about the baskets picked by the two girls are true? Select each correct answer.
A) The farm where Bri picks charges less of a flat fee.
B) The farm where Bri picks charges less per basket picked.
C) Annamarie pays $2.75 per basket picked.
D) Bri pays $5.50 per basket picked.
The points on the graph for the amount of strawberries picked by Annamarie are (0, 11), (10, 38.5).
(10, 38.5)
38.5/10 = 3.85
Annamarie pays $3.85 per basket.
y = 3.25x + 5.5
(3.25, 5.5)
The amount of strawberries picked by Bri is (3.25, 5.5).
Bri pays $5.50 per basket.
The farm where Bri chose to pick strawberries charges more for them so A and B are not the answer.
Annamarie pays $3.85 per basket so C is not one of the answers.
The only answer is D) Bri pays $5.50 per basket picked.Answer:
[tex]From \: the \: graph, \: the \: equation \: representing \: the \: number \: of \: strawberries \: picked \: by \: Annamarie \: is \: given \: by: \\ \\ \frac{y - 11}{x - 0} = \frac{38.5 - 11}{10 - 0} \\ \\ \frac{y - 11}{x} = \frac{27.5}{10} = 2.75 \\ \\ y - 11 = 2.75x \\ \\ y = 2.75x + 11 \\ \\ Given that the \: equation \: representing \: the \: number \: of \: strawberries \: picked \: by \: Bri \: is \: given \: by \: y \: = 3.25x + 5.5 \\ \\ From \: the \: \: two \: equations \: we \: can \: deduce \: that : \: \\ \\
The \: farm \: where \: Bri \: picks \: charges \: less \: of \: a \: flat \: fee. \: \\ \\Annamarie \: pays \: $2.75 \: per \: basket \: picked. \: [/tex]
C) Annamarie pays $2.75 per basket picked.Miles is buying a chair that regularly costs $250. Today the chair is on sale for 30% off. The sales tax of 6% is taken on the sales price. What will be the total cost, including tax, if Miles buys the chair today. (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $185.50)
Step-by-step Explanation:
First find out what is the price after 30% off.
250 · 0.3 = 75
250 - 75 = 175
Then find the tax and add it on. Remember to calculate the tax AFTER the discount.
175 · 0.06 = 10.50
175 + 10.50 = 185.50
I need help please, anyone?!! I don’t know what I’m doing, please give explanation to your answer
The table shows the membership cost for two CD clubs. How many CDs would you need to buy in a year in order for the total cost of both memberships to be the same?
CD Club Membership
Club #1: Annual Fee = 50$ and Cost Per CD = 7.50$
Club #2: Annual Fee = 35$ and Cost Per CD = 8.00$
Answer:
Club 1: 16 would be 120
Club 2: 15 would be 120
Pls i need answer I’m really confused with this question
Answer:
answer choice 2
Step-by-step explanation:
10+4(19)=86
What are the values of a 1 and r of the geometric series? 1 3 9 27 81.
For the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
What is geometric series?A series of numbers whose any two consecutive numbers are always in a common ratio of that series.
Given to us
Series, 1 3 9 27 81
To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,
[tex]r = ratio = \dfrac{3}{1} = 3[/tex]
As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.
We need to find the value of a₁ for the given series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,
a₁ = 1
Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
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In 2020, summer camp registration was $15
more than it was in 2021. In 2020, registration
was $285. By what percentage did the summer
camp registration decrease in 2021?
Answer:
I think your answer is 5.25% or it could be 5.3 or 5
5.26 percent of the summer camp registration decreased in 2021
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
In 2020, there was a $285 membership fee for summer camp.
It is stated that the membership cost for summer camp increased by $15 in 2020 compared to 2021. We can calculate the summer camp registration cost for 2021 using the data given.
In 2021, there was a $285-$15 membership fee for summer camps.
there was a $270 membership fee for summer camps.
The gradual decrease in the summer enrichment registration price must be determined = (Drop/Initial Value)*100 represents the proportion decrease.
= (15/285)*100 represents the percentage decline.
The membership price for summer camps has decreased by 5.26 percent.
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2. Find the area of the shaded region. Express your answer in terms of
3 in
6 in
9 in
12 in
18 in
Answer:
Step-by-step explanation:
Find the area of the rectangle. A = length * width
Find the area of each circle. A = π*radius*radius
Subtract the area of each circle from the area of the rectangle.
A = length * width
A = (3+6+9+12) * 18
A = 30 * 18
A = 540 square inches
Bottom circle
A = π * radius * radius. (radius is 1/2 of the diameter)
A = 3.14 * 6 * 6
A = 133.04 square inches
Middle circle
A = π * radius * radius
A = 3.14 * 4.5 * 4.5
A = 63.59 square inches
Top circle
A = π * radius * radius
A = 3.14 * 3 * 3
A = 28.26 square inches
Subtract the circles from the rectangle.
540 - 133.04 - 63.59 - 28.26 = 315.11 square inches is the area of the shaded part.
can someone help me with this
Answer:
Statements Justifications
E bisects AI, BC bisects AE, FH bisects EI Given
AE is congruent to EI Definition of Bisector
AD is congruent to DE Definition of Bisector
EG is congruent to GI Definition of Bisector
If AE is congruent to EI, AD is congruent to DE, and EG is congruent to GI, then AD is congruent to DE, EG, and GI, DE is congruent to AD, EG, and GI, EG is congruent to AD, DE, and GI, and GI is congruent to AD, DE, and EG. Therefore, AD is congruent to EG.
This isn't the best answer and probably won't get you a 100, but it shows effort so...