Answer:
r = 0.5 or 1/2
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)^t
Simply plug in our known variables:
2700 = 800(1 + r)³
Now we solve for r:
Divide both sides by 800
27/8 = (1 + r)³
Take the cube root on both sides
∛27/8 = ∛(1 + r)³
Simplify
3/2 = 1 + r
Subtract 1 on both sides
r = 1/2
r = 0.5
Answer:
For compound interest, 50%.
Step-by-step explanation:
(I'm assuming this question is asking for the compound interest):
The formula for compound interest is given by:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Plug in the values we know. We can use 1 for n:
[tex]2700=800(1+r)^3\\27/8=(1+r)^3\\1+r=\sqrt[3]{27/8}\\r=3/2-1\\r=1/2=.5[/tex]
So, the interest rate is 50%.
Rafael is at an elevation of 30.5 feet relative to sea level and Jordan is at an elevation of -41.3 feet relative to sea level. Who is at a higher elevation? Who is further from sea level?
Answer:
a. Rafael
b. Jordan
Step-by-step explanation:
Firstly, we should understand that a negative value of elevation indicates that the position is below sea level.
So the person at a higher elevation is the person above the sea level which is Rafael in the case.
Now to the second question, we want to know who is farther from the sea level.
The correct answer is Jordan.
Let’s see the sea level as an origin (0,0) on a cartesian plane and coordinate. We should understand that although sign maybe different, the numbers which are higher in magnitude in either direction shows the farthest from the origin.
So therefore, Jordan is deeper below the sea level than Rafael who is above the sea level.
Which number is a solution of the inequality 8 – 14b ≥ 27?
A. 140
B. –76
C. –8.75
D. –4.75
Answer:
8 - 14b ≥ 27 ⇒ subtract 8 from both sides- 14b ≥ 27 -8 - 14b ≥ 19 ⇒ divide both sides by 14- b ≥ 19/14 ⇒ multiply both sides by -1 b ≤ - 19/14 ⇒ multiplication by a negative changes theinequality sign to opposite one
b ≤ - 19/14 and the answer choices B, C and D are all correct as are less than -19/14
A. 140 is the only one incorrect
Loreto quería decorar un viejo tambor metálico para usarlo de paragüero. Para ello, contaba con un grueso cordón que pretendía pegar en el contorno del borde superior del tambor. Sabiendo que el diámetro de este era 58,5 cm, cortó el cordón, dejando el trozo más largo de 175,5 cm de longitud de modo que le alcanzara justo, pero le faltaron 7 cm. ¿Cuál fue el error de Loreto?
Answer:
u should put the question in English to so English people can also help
Whats the volume of a ball if diameter is 17
Answer:
818.8333333 *pi
or
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Step-by-step explanation:
We need the radius
r = d/2
r = 17/2 = 8.5
We can find the volume using
V = 4/3 pi r^3
V = 4/3 pi ( 8.5)^3
V =818.8333333 *pi
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
How would you write The difference of 9 and the square of a number
Answer:
9 - n^2
Step-by-step explanation:
Answer: 9-x^2
Step-by-step explanation:
no work needed
Can you just answer this question quickly please what is the answer to 420 12 it is multiplication. thanks
Answer:
the answer to 420 times 12 is 5,040
Step-by-step explanation:
Answer: The answer would be 5040.
Step-by-step explanation:
Priya, Han, and Mai each measured one of the circular objects from earlier. Priya says that the bike wheel is 24 inches. Han says that the yo-yo trick is 24 inches. Mai says that the glow necklace is 24 inches. 1. Do you think that all these circles are the same size? 2. What part of the circle did each person measure? Explain your reasoning.
Answer:
Yes they are of the same size since they have the same number and standard unit of measurement (i.e 24 inches).
Each person measures the circumference of the circle.
Step-by-step explanation:
Given that :
Priya, Han, and Mai each measured one of the circular objects from earlier.
Priya says that the bike wheel is 24 inches.
Han says that the yo-yo trick is 24 inches.
Mai says that the glow necklace is 24 inches.
Do you think that all these circles are the same size?
Yes they are of the same size since they have the same number and standard unit of measurement (i.e 24 inches).
What part of the circle did each person measure?
Each person measures the circumference of the circle.
The circumference also known as the perimeter of the circle is denoted by :
C = 2π r
The circumference of a circle is the distance round the edges of the circle.
Given that C = 24
24 = 2π r
r = 24/(2π)
r = 3.8 inches
This confirms the claim that all the circle are of the same size since they possess the same radius.
Answer:
The person who answered first is WRONG
Step-by-step explanation:
I did this and these are the answers the teacher gave me:
the circles are NOT the same size
and they are measuring by diameter, radius, and circumfrence
Which of the following lists of three numbers could form the side lengths of a triangle? A. 10, 20, 30 B. 122, 257, 137 C. 8.6, 12.2, 2.7 D. 1/2, 1/5, 1/6
Answer:
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle os greater than the third side.
■■■■■■■■■■■■■■■■■■■■■■■■■■
First triangle:
Let a,b and c be the sides of the triangle:
● a = 10
● b = 20
● c = 30
Now let's apply the theorem.
● a+b = 10+20=30
That's equal to the third side (c=30)
●b+c = 50
That's greater than a.
● a+c = 40
That's greater than b.
These aren't the sides of a triangel since the first inequality isn't verified.
■■■■■■■■■■■■■■■■■■■■■■■■■
Second triangle:
● a = 122
● b = 257
● c = 137
Let's apply the theorem.
● a+b = 379
That's greater than c
● a+c = 259
That's greater than b
● b+c = 394
That's greater than a
So 122,257 and 137 can be sides of a triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
The third triangle:
● a = 8.6
● b = 12.2
● c = 2.7
Let's apply the theorem:
● a+b = 20.8
That's greater than c
● b+c = 14.9
That's greater than a
● a+c = 11.3
That isn't greater than b
So theses sides aren't the sides of triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● a = 1/2
● b = 1/5
● c = 1/6
Let's apply the theorem.
● a+b = 7/10
That's greater than c
● a+c = 2/3
That's greater than b
● b+c = 11/30
That isn't greater than a
So these can't be the sides of a triangle.
Puzzle corner
Look Before You Leap!
See how long it takes you to work out the
following:
(1 x2)×(3 x 4)×(586)×(7 x 8) x (
9×0)
Answer:
0
Step-by-step explanation:
Notice that the last factor is null (9×0)
So the result will be null since any number that is multiplied by 0 equals 0.
what is x+2/-1 = 3? i need to know
Answer:
x=-5
Step-by-step explanation:
-5+2=(-3)
-3*(-1)= 3
Answer:
x=-5
Step-by-step explanation:
(x+2)/-1 = 3
Multiply each side by -1
(x+2)/-1 * -1 = 3*-1
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
answer answer it it it
Answer:
May-June
Step-by-step explanation:
Notice that:
● during April-May period the Badminton memberships rate of increase is greather then Swimming's since the graph of Badminton is showing a faster increase.
● During June-July period, both functions are decreasing so this period does not satisfy our condition.
● During May-June The Swimming memberships growed faster than Badminton's so its rate of increase is greather than Badminton's.
● during August-September period, The swimming memeberships are increasing slower than Badminton's
So the answer is May-June
Answer:
May-June
Step-by-step explanation:
PLEASE HELP ME !!!!!!!!!!!!!!!!!
Answer:
2
Step-by-step explanation:
The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...
S = a1/(1 -r) 1/(1 -1/2) = 2
The sum of the series is 2.
what is a coterminal angles
Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
12. Write 0.8 as a fraction,
Pls explain in full detail.
Answer:
8/10
Step-by-step explanation:
10x10 is 100 8x10 would be 80 so 80/100=8/10
Answer:
8/10 = 4/5
Step-by-step explanation:
0.8 is 8-10th which means 8 divided by 10
reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then
(8=2*4)/(10=2*5)
if 2 cancels out, then you are left with 4/5
Solve the triangle. A = 51°, b = 14, c = 6 A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9 B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9 C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9
Answer:
(B) has the closest values.
Step-by-step explanation:
Solve the triangle: A = 51°, b = 14, c = 6
A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9
B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9
C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9
Using the cosine rule,
a^2 = b^2+c^2-2bc (cos(A))
= 196+36 - 2(14)(6)cos(51)
= 196+36 - 105.72
= 126.27
a = sqrt(126.27)
= 11.24
using sine rule,
sin(C)/sin(A) = 6/11.24
sin(C) = 6/11.24*sin(51)= 0.41495
C = arcsin(0.41495 = 24.5 degrees, reasonably close to the given value, probably due to the answer used the rounded value of a.
B = 180-51-24.5 =104.5
Out of the given options, only (B) has the correct value of a and C
Jill has 120 feet of fencing to use for her horse paddock. To increase the area she can enclose, she plans on using the side of the barn as one side of her paddock as shown below. Determine which equation can be used to find the dimensions of the horse paddock when the area is 1,800 square feet. Let x represent the width of the paddock.
Answer:
D) -2x²+120=1800
Step-by-step explanation:
area=l*w
the area is 1800 (given)
the length is x (given)
the width would be 120-2x (120 feet of fencing minus the two lengths)
SO
1800=(x)(120-2x)
1800=120x-2x²
1800=-2x²+120
-2x²+120=1800
So the answer is D
The equation representing the area of the horse paddock is -2x² + 120x = 1800. The correct option is (D).
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The area of a rectangle can be found by taking the product of its length and breadth.
Given that,
The total length of the fence is 120 feet.
And, the area enclosed is 1800 square feet.
As per the given question, the expression for the length of fence is as below,
2x + l = 120
=> l = 120 - 2x
Since the horse paddock is in the shape of a rectangle, its area can be written as,
x(120 - 2x) = 1800
=> 120x - 2x² = 1800
=> -2x² + 120x = 1800
Hence, the equation that can be used to find the dimensions of the horse paddock is given as -2x² + 120x = 1800.
To know more about rectangle click on,
https://brainly.com/question/25501702
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Patrick deposited $6,875 into a savings account 17 years ago. The account has an interest rate of 4.9% and the balance is currently $15,734.11. How often does the interest compound
Answer:
Quaterly
Step-by-step explanation:
A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?
Answer:
Each book weighs 1/2 lbs
Step-by-step explanation:
Take the total weight and divide by the number of books
10 lbs/20 books
1/2 lbs per book
Each book weighs 1/2 lbs
Kelly bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent.
Answer:
$1.60 a crate
Step-by-step explanation:
t= 95.94/(6x20)
(6x20)= 60
95.94/60
$1.60
Answer:
Step-by-step explanation:
i) Cost per box = cost of a crate ÷ Number of boxes in the crate
b = 95.94 ÷ 6
b = $ 15.99
ii) Cost per tile = Cost per box ÷ Number of tiles in a box
t = b ÷ 20
t = 15.99 ÷20
t = $ 0.7995
write -7.08 as a mixed number or fraction in a simplest from
Answer:
7 2/5
Step-by-step explanation:
7.08 to improper fraction:
708/100
= 7 2/25
PLEASE HELP ASAP! Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 22 1/4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish.
Answer:
See below.
Step-by-step explanation:
Approximation:
The wall is 8 ft wide.
The frame is 22 1/4 inches wide. 22 1/4 inches is close to 2 ft since 2 ft = 24 inches.
8 ft - 2 ft = 6 ft
There will be approximately 6 ft of space tot he sides of the frame.
6 ft/2 = 3 ft
3 ft * 12 in./ft = 36 in.
There will be approximately 36 in. on each side of the frame.
Exact:
8 ft - 22 1/4 in. = 8 * 12 in. - 22 1/4 in. =
= 96 in. - 22 1/4 in.
= 95 4/4 in. - 22 1/4 in.
= 73 3/4 in.
The total amount of width of the wall not occupied by the frame is 73 3/4 in.
Half of that amount is on each side of the frame.
(73 3/4 in.)/2 = (73 3/4 in.) * 1/2 = (73 * 1/2 + 3/4 * 1/2) in. =
= 36 1/2 in. + 3/8 in.
= 36 4/8 in. + 3/8 in.
= 36 + 7/8 in.
= 36 7/8 in.
What is the best way to display data if there is a wide range and we want to see individual data?
a.frequency table with intervals
b.stem-and-leaf plot
c.line plot
d.frequency table
Answer:
The correct option is;
b. Stem and leaf plot
Step-by-step explanation:
A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.
Answer: b. stem-and-leaf plot
Step-by-step explanation:
hope this helps
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answer:
[tex] 9.3 + b = 14.5 [/tex]
Step-by-step explanation:
Longest side of ∆ = 2a = 6.2 cm
If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is
The sum of the 3 sides = perimeter = 14.5 cm
Thus,
[tex] a + 2a + b = 14.5 cm [/tex]
Plug in the values of a and b
[tex] 3.1 + 6.2 + b = 14.5 [/tex]
The equation that can be used to find the side lengths is [tex] 9.3 + b = 14.5 [/tex]
A cotton candy vendor has 27 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?
Answer:
36
Step-by-step explanation:
Let the total number of cotton candy = A
Number of blue cotton candy = 27 cones
Percentage of blue cotton candy = 75%
Therefore, the total number of cotton candy is calculated as:
27/A × 100 = 75%
2700/A = 75
Cross Multiply
75A = 2700
A = 2700/75
A = 36
Therefore, the amount of total cotton candy that we have is 36.
9.Find the perimeter of the triangle formed by points (0,4), (0,0) and (3,0)
(1 Point)
55
1212
1111
None of these
Answer:
12Step-by-step explanation:
A(0,0) ∧ B(3,0) ⇒ AB = 3
A(0,0) ∧ C(0,4) ⇒ AC = 4
From Pythagorean theorem:
AB² + AC² = AB²
3² + 4² = AB²
AB² = 9+16 = 25
AB = 5
Perimeter:
AB + AC + BC = 3 + 4 + 5 = 12
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
SIMPLIFY (i)35 + 25 x 72 – 51 ÷(10 + 7) (ii)-6 x 9 + 7 – 12 ÷ 3 – 5 Pls give me the correct answer
Answer:
i.1832 ii.-56
Step-by-step explanation:
using BODMAS for the first question we solve for what's in the bracket after we go with the division and after multiplication next addition and subtract in doing all that we get
35+25*72-51/17
35+25*72-3
35+1800-3
1835-3
1832
you can also use your calculator to verify answer
ii.-6*9+7-4-5
-54+7-4-5
-47-4-5
-56
Special right triangles
what should we do??? the question isn't there!
Why the answer question now correct
Answer:
461.58 in²
Step-by-step explanation:
The surface area (A) is calculated as
A = area of base + area of curved surface
= πr² + πrl ( r is the radius of base and l is slant height )
= 3.14 × 7² + 3.14 × 7 × 14
= 3.14 × 49 + 3.14 × 98
= 3.14(49 + 98)
= 3.14 ×147
= 461.58 in²
Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlotte is 12 years old, find how much Ava and Charlotte will get.
Answer:
Ava's share = $20
Charlotte's share = $16
Step-by-step explanation:
15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36
27x = 36 : add x terms
x = 36 / 27 : divide both sides of equation by 27
x = 4 / 3
Ava's share = 15x = 15 * 4/3 = 20
Charlotte's share = 12x = 12 * 4/3 = 16
