Answer:
Since it's increasing add 3.5% to 100%
= 103.5% of £16470.45
= 103.5/100 × 16470.45
= 17046.92
= £17046.92
Hope this helps.
On day t=0t=0t, equals, 0, the stock is at its average value of {\$}3.47$3.47dollar sign, 3, point, 47 per share, but 91.2591.2591, point, 25 days later, its value is down to its minimum of \$1.97$1.97dollar sign, 1, point, 97.
Answer:
S(t) = a.sin (b.t) + d
a = -1.5, b = (2π/365), d = 3.47
S(t) = -1.5 sin (2πt/365) + 3.47
Step-by-step explanation:
Complete Question is presented in the attached image to this solution.
- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form
S(t) = a.sin(b.t) + d.
On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.
Find S(t). t should be in radians.
S(t) =
Solution
S(t) = a.sin(b.t) + d.
At t = 0, S(t) = $3.47
S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47
Sin 0 = 0,
S(t=0) = d = 3.47.
At t = 91.25 days, S(t) = $1.97
But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.
Hence, b = (2π/365)
S(91.25) = 1.97 = a.sin(b×91.25) + d
d = 3.47 from the first expression
S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97
1.97 = a.sin (2π×91.25/365) + 3.47
1.97 = a sin (0.5π) + 3.47
Sin 0.5π = 1
1.97 = a + 3.47
a = -1.5
Hence,
S(t) = a.sin (b.t) + d
a = -1.5, b = (2π/365), d = 3.47
S(t) = -1.5 sin (2πt/365) + 3.47
Hope this Helps!!!
The fifth graders to plant a butterfly garden. Clover grows in ½ of the garden, daisies in ¼ of the garden, coneflowers in ⅛ of the garden, and milkweed in ⅛ of the garden. The fifth graders notice that the butterflies land on the clover, and milkweed. What fraction of the garden do the butterflies use?
Answer:
Fraction of the garden used = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The fifth graders to plant a butterfly garden.
We are given that
Clover grows in ½ of the garden
Daisies grow in ¼ of the garden
Coneflowers grow in ⅛ of the garden
milkweed grows in ⅛ of the garden
The fifth graders notice that the butterflies land on the clover and milkweed.
We are asked to find out the fraction of the garden that the butterflies used.
Fraction of the garden used = clover + milkweed
Fraction of the garden used = [tex]\frac{1}{2} + \frac{1}{8}[/tex]
The LCM of 2 and 8 is 8
Fraction of the garden used = [tex]\frac{4 +1}{8}[/tex]
Fraction of the garden used = [tex]\frac{5}{8}[/tex]
Therefore, the butterflies used [tex]\frac{5}{8}[/tex] fraction of the garden.
The price of an item yesterday was $115. Today, the price rose to $184. Find the percentage increase.
Please help me I’m so confused
Answer:
60%
Step-by-step explanation:
184 - 115 = 69
[tex]\frac{69}{115} =.6\\\\[/tex]
.6 × 100 = 60%
115 + 60% = 69
urgent geometry
AD is a diameter of E and BE is perpendicular to AD. If m CD = 30°, what is mBEC?
30°
150°
90°
60°
Which of the following combinations cannot be the side lengths of a triangle?
2.3 inches, 3.4 inches, and 3.2 inches
4.8 inches, 5 inches, and 1.2 inches
2.5 inches, 2.5 inches, and 2.5 inches
6.7 inches, 1.1 inches, and 7.9 inches
Answer:
AD and BE is perpendicular => angle BED = 90 deg.
Otherwise angle CED = arc CD = 30 deg
=> angle BEC = angle BED - angle CED = 90 - 30 = 60 deg
Suppose a, b and c are 3 sides of a triangle in which a < b < c.
As property of length of sides a, b, and c of a triangle:
c - b < a < c + b
b - a < c < b + a
c - a < b < c + a
=> 6.7 inches, 1.1 inches, and 7.9 inches are not sides of a triangle
Check:
7.9 - 1.1 < 6.7 <=> 6.8 < 6.7 <=> invalid!
Hope this helps!
:)
What is the area of the circle below? (Hint: you need to find the radius first)
A. 1808.64 square meters
B. 75.36 square meters
C. 452.16 square meters
D. 150.72 square meters
Other: Comment
Answer:
A =452.16 m^2
Step-by-step explanation:
The diameter is 24, so the radius is 1/2 of the diameter
r = 24/2 = 12
The area of a circle
A = pi r^2
A = 3.14 * (12)^2
A =452.16 m^2
The right answer is 452.16 square meters.( option C)
please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
At Challenger School, 2/3 of the students play basketball. Out of the students who play basketball, 1/4 of the students also play an instrument. What fraction of the students at Challenger School play both basketball and an instrument? *
Answer:6/12
Step-by-step explanation:
The tires of a tractor are 5.25 feet tall. what measure would help to find how many feet the tractor will travel in 1 rotation
and how many feet would it travel
Answer:
16.5 ft
Step-by-step explanation:
Circumference is 2πr, so radius being 5.25/2 would calculate to 16.5
Can someone help me?
Answer:
D. All real numbers.
Step-by-step explanation:
This expression can have any real number assigned to x.
Answer:
The input is all real numbers
Step-by-step explanation:
The domain is the input to the function
f(x) = x^2 + 3x +5
There is no limit to what we can put in the function so
The input is all real numbers
Drag values to complete each equation. 95⋅9‐993 =? (94)3⋅9‐14 = ? options: 9 to the power of 7 9 to the power of negative 7 9 to the power of negative 2 9 to the power of negative 1
Answer:
2 9
Step-by-step explanation: yikes
Find the area. Thank you!
Answer:
5.78
Step-by-step explanation:
S=[tex]\frac{1}{2}[/tex](a+b)*h
a = 1.8
b = 5
h = 1.7
S = [tex]\frac{1}{2}[/tex](1.8+5)*1.7
S = (6.8*1.7)/2
S = 11.56/2
S = 5.78
Please help meeee I’m stuck only if you know geometry
Answer:
Step-by-step explanation:
You can see by the markings that ST is congruent to AY, and that TA is congruent to YS. Those are 2 sides, so so far we have SS. One important thing that comes up WAY TOO OFTEN IN GEOMETRY TO IGNORE is the fact that both of those triangles share the side SA. This is called the reflexive property. The theorem for congruency between these 2 triangles is SSS.
please help quickly !!
Answer:
I believe you have to add 15.9 on both sides
What is the area of this figure? Use 3.14 for pi.
A. 49.26 cm2
B. 28.07 cm2
C. 24.53 cm2
D. 21 cm2
Answer:
24,53cm²
Step-by-step explanation:
rectangle area=length×width=7×3
=21cm²
circle area=1/2Π r²
=1/2×3.14×1.5×1.5
=3.5325cm²
add the two areas
21+3.53=24,53cm²
What is the vertex of g(x) = –3x2 + 18x + 2?
Answer:
[tex](3,29)[/tex]
Step-by-step explanation:
There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is [tex]x=\frac{-b}{2a}[/tex]
We have the function [tex]g(x)=-3x^2+18x+2[/tex]
From this function, we can find that
[tex]a=-3\\b=18\\c=2[/tex]
We can plug in our know values into the formula to get
[tex]x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3[/tex]
Then we can plug in our x-value to find the y-value of the vertex
[tex]g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29[/tex]
This means that the vertex would be [tex](3,29)[/tex]
Answer:
C. (3,29)
Step-by-step explanation:
Edge 2020
MARKING BRAINLEAST + 15 POINTS + THANKS + RATE 5 STARS
PLEASE HELP!
Answer:
2sqrt5, 5, sqrt13, 14.5
Step-by-step explanation:
Just use vectors to calculate the change in the x and y axis during each movement and then apply the Pythagoras Theorem.
please help quickly !! will give brainliest !!
How do I solve this problem?
Answer:
5.3 cm
Step-by-step explanation:
[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 10.6 = \frac{1}{2} \times base \times 4 \\ \\ 10.6 = base \times 2 \\ \\ base = \frac{10.6}{2} \\ \\ base = 5.3 \: cm[/tex]
Consider the following system of equations.
y =6x²+1,
y = x² +4
Whích statement describes why the system has two solutions?
Answer:
Each graph has one y-intercept, which is a solution.
Step-by-step explanation:
I used the process of elimination, so none of the others were true, or explained why there were two solutions.
I hope this helps you!
BRANLIEST!! Write without exponents (See image.)
Answer:
BXBXBXBXBXB
Step-by-step explanation:
The term without exponent is b*b*b*b*b*b,
B: (b³)² = b⁶.
What is Exponential Function?The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given the term (b³)²
we know a² = a*a
so (b³)² = b³*b³
and a³ = a*a*a
(b³)² = b³*b³ = b*b*b*b*b*b
so (b³)² without exponent is b*b*b*b*b*b
and we know (aⁿ)ˣ = aⁿˣ
(b³)² = b⁶
Hence term without exponent is b*b*b*b*b*b and compared power is b⁶.
Learn more about Exponential Function;
https://brainly.com/question/14355665
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please help will mark brainlest
Answer:
14 square inches
Step-by-step explanation:
Given shape is obtained by joining two rectangles of dimensions 4 by 2 inches and 3 by 2 inches.
Hence,
[tex]Area \: of \: the \: figure \\ = 4 \times 2 + 3 \times 2 \\ = 8 + 6 \\ = 14 \: {inches}^{2} [/tex]
A newspaper conducted a survey to find out how many high school students play video games.The two ways table below displays the data from the survey. Based on these data in the table, which statement is true? A) There were 2,451 boys surveyed, and about 29% of them play video games. B) There were 2,996 girls surveyed, and about 45% of them play video games. C) There were 5,447 students surveyed, and about 54% of them do not play video games. D) There were 2,493 students surveyed, and about 34% of them are girls who do not play veideo games.
Answer:
Step-by-step explanation:
Given that
We are given the following:
1. Boys who do play video games = 1593
2. Boys who do not play video games = 858
3. Total boys = 2451
4. Girls who do play video games = 1361
5. Boys who do not play video games = 1635
6. Total Girls = 2996
7. Total number of candidates = Total boys + Total girls
=(2451 + 2996) = 5447
8. Total number of students, who play video games = 2954
9. Total number of students, who do not play video games = 2493
Percentage of boys who play video games:
[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]
So, option A is not correct.
Percentage of girls who play video games:
[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]
so option B is correct. The percentage is near about 45%,
Percentage of Total number of students, who do not play video games:
[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]
So, option C is not correct.
Given the rational expressions 7/(x ^ 2 - 12) and (2x - 1)/(x + 2) which of the following is true?
Answer:
option C
Step-by-step explanation:
[tex]\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}[/tex]
Someone please help me!!!!!
1. Answer (D). By the law of sines, we have [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] in any [tex]\triangle ABC.[/tex]
2. Answer (C). The law of cosines, [tex]c^2=a^2+b^2-2ab\cos C,[/tex]accepts up to three sides and an angle as an input.
3. Answer (D). Although this triangle is right, we are not given enough information to uniquely determine its sides and angles - here, we need either one more side or one more angle.
4. Answer (D). Don't get tripped up by answer choice (C) - this is just a rearrangement of the statement of the law of cosines. In choice (D), the signs of [tex]a^2[/tex] and [tex]2ab\cos C[/tex] are reversed.
5. Answer (B). By the law of sines, we have [tex]\frac{5}{\sin 40^\circ}=\frac{3}{\sin\theta}.[/tex] Solving gives [tex]\theta\approx \boxed{23^\circ},157^\circ.[/tex] Note that this is the ambiguous (SSA) case of the law of sines, where the given measures could specify one triangle, two triangles, or none at all!
6. Answer (A). Since we know all three sides and none of the angles, starting with the law of sines will not help, so we begin with the law of cosines to find one angle; from there, we can use the law of sines to find the remaining angles.
I need help ASAP first person will get a crown
why since lockdown i am so clueless?
Answer:
15%
Step-by-step explanation:
first find the difference in profit:
3162.50-2750 = 412.50
Now find the percentage increase:
412.50/2750 x 100 = 15%
Hope this helps.
Good Luck
Answer:
Answer: The profit percentage increase = 15%
Step-by-step explanation:
Subtract 3162.50 - 2750 = 412.5
412.5/2750 x 100 = 15 percent
please brainliest meWhen a volcano erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was 8,219.5 feet. This was 85% of the original height. What was the original height?
Answer:
9,670
Step-by-step explanation:
8,219.5 ÷ 85% (0.85) = 9,670
The height of the volcano is reduced after the eruption, then the original height of the volcano is 9670 feet.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given information in the question,
Height of the volcano after eruption = 8,219.5 feet
Let the original height of the volcano is x.
85% of x = 8219.5
x = (8219.5 × 100)/85
x = 9670 feet.
To know more about percentages:
https://brainly.com/question/29306119
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There are 4 cookies if there is 1/4 of a cookie in each bag how many bags will there be
Answer:
there will be 16 bags
Step-by-step explanation:
Find the percent of change from 3,545 pt to 709 p
Answer:
80%
Step-by-step explanation:
We need to find the percent of change from 3,545 pt to 709 pt.
Original value is 3,545
Changed value is 709
Percent change is given by :
[tex]\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%[/tex]
So, there is 80% of change from 3,545 pt to 709 pt.
one expression that is equivalent to this sum is 18+12
Answer:
2(9+6)
Step-by-step explanation:
It costs $0.25 to download an individual song and $2 to download an album. Whitney has $9 to spend downloading music.
Complete the table showing three ways Whitney can spend $9 downloading individual songs and albums.
Answer:
Step-by-step explanation:
The number of dollars Left always needs to be even if you want to buy albums last because we can never have half an album. So if you download 4 songs that leaves you left with $8.
0.25x4
=1
Now with the rest of the money you can download 4 albums.
4 individual songs, 4 albums.
0.25x4+4x2
=1+8
= $9
12 individual songs, 3 albums
0.25x12+2x3
= 3+6
=$9
20 individual song, 2 albums
0.25x20+ 2x2
= 5+4
= $9