Answer:
16%
Step-by-step explanation:
First week- 200 stickers
Second week- 280 stickers
Third week- 168 stickers
40% of 200 = 80
40% of 280 = 112
200-168=32
32 is 16% of 200
What does photosynthesis produce?
Answer:
Food for plants
Step-by-step explanation:
Step-by-step explanation:
During the process of photosynthesis, cells use carbon dioxide and energy from the Sun to make sugar molecules and oxygen. These sugar molecules are the basis for more complex molecules made by the photosynthetic cell, such as glucose.
Rebecca was advised to invest her £12000 life savings in a special High
Interest Savings account, but she had to agree not to touch it for 4 years.
The interest rates for the 4 year period were 4.5%, 5%, 5.3% and 4.9% respectively.
(a) Calculate the value of her savings at the end of each year.
(b) What was the total interest that had accrued on her account?
(c) Express this as a percentage of her original investment.
#a
#1st year
\(\\ \rm\Rrightarrow 12000+0.045(12000)=12540\)
#2nd year
\(\\ \rm\Rrightarrow 12540+0.05(12540)=13167\)
#3rd year
\(\\ \rm\Rrightarrow 13167+0.053(13167)=13864.85\)
#4th year
\(\\ \rm\Rrightarrow 13864.85+13864.85(0.049)=14544.2\)
#b
Total interest
\(\\ \rm\Rrightarrow 14544.2-12000=£ 2544.2\)
#c
Percentage
\(\\ \rm\Rrightarrow \dfrac{2544.2}{12000}\times 100\)
\(\\ \rm\Rrightarrow 21.2\%\)
Answer:
(a) Year 1: £12,540
Year 2: £13,167
Year 3: £13,964.85
Year 4: £14,544.23
(b) £2,544.23
(c) 21.2% (1 d.p.)
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
Principal = £12,000Interest rates for each progressive year = 4.5%, 5%, 5.3% and 4.9%Part (a)Year 1
⇒ A = 12000(1 + 0.045)
⇒ A = £12,540
Year 2
⇒ A = 12540(1 + 0.05)
⇒ A = £13,167
Year 3
⇒ A = 13167(1 + 0.053)
⇒ A = 13964.851
⇒ A = £13,964.85
Year 4
⇒ A = 13964.851(1 + 0.049)
⇒ A = 14544.2287
⇒ A = £14,544.23
Part (b)\(\begin{aligned}\sf Total \: interest & = \sf final \: amount - principal \: amount\\& = \sf 14544.23 - 12000\\& = \sf \£2,544.23\end{aligned}\)
Part (c)\(\begin{aligned}\sf Percent & =\sf \left(\dfrac{Value}{Total\:value}\right) \times 100\\\\ \implies \textsf{Percent} & =\sf \dfrac{2544.23}{12000} \times 100\\\\ & = \sf 21.2\%\:\:(1\:d.p.) \end{aligned}\)
Suppose a designer has a palette of 16 colors to work with, and wants to design a flag with 2 vertical stripes, all of different colors.
How many possible flags can be created?
When given a palette of 16 colors to work with and the desire to create a flag with two vertical stripes made up of all different hues, 240 different flags are feasible.
what is permutation ?If the set is now sorted, or if the individuals are arranged in a sequential or sequential sequence, permuting is essentially gradually moves its pieces around. In this context, this same term "permutation" is used to describe the process of changing the vertical order of either an ordered set. Possible combination is the mathematical method that determines the number of alternative configurations for a given set. In its simplest and basic form, variation refers to the number of conceivable configurations or orders. With permutations, the arrangement of the components is important. A permutation is an arrangement of objects in some kind of a particular order. Here, various elements in the set are organized either in linear or chronological order.
given
Considering that each stripe will be a distinct color:
16 different things are consumed two at a time, and there are...
16P2 = 16·15
= 240
Each one of the 16 colors in the palette can be the first color. Any of the remaining 15 colors, as well as the second color, must be distinct.
When given a palette of 16 colors to work with and the desire to create a flag with two vertical stripes made up of all different hues, 240 different flags are feasible.
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find the missing angle
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
Please help I don't understand what to do for this. Kindly will be giving +15 points if you can give me an answer for this.
The Trapezoid EFGH's GH length is 5 units.
Is a trapezoid that is upside down still a trapezoid?The shape of a trapezoid is used to describe a lobster trap with a void (trapezoid). The bottom (5m) and top (5m) sides of this trapezium are parallel (8m). Although it is upside down, this trapezium also features parallel top and bottom sides. Nonetheless, it is a trapezium.
Trapezoid EFGH and Trapezoid ABCD are comparable to one another based on the image, indicating that their respective sides are proportional.
Let's establish a ratio for the lengths of the parallel sides of the two trapezoids using the dimensions provided:
BC/FG = AB/EF
We can change the values provided by:
12/6 = 10/GH
The left side of can be made simpler by:
2 = 10/GH
Now we can solve for GH by multiplying both sides by GH:
2GH = 10
Finally, we can solve for GH by dividing both sides by 2:
GH = 5
Therefore, the length of GH in units is 5.
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(-(cosø)/(sinø))*(-(cosø)/(sinø))
Im trying to solve this but i dont know how to multiply them
Ø= theta
The required simplification of the expression is \(\csc^2\theta-1.$$\)
What is trigonometric function?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This implies that these trig functions provide the relationship between the angles and sides of a triangle.
Relation between cosine and sine.Using the equation cos2(x) + sin2(x) = 1, one can change sin to cos. Rearranging this results in sin(x) = sqrt(1 - cos(x)), which means that sin(x) = cos(1 - cos(x)). Utilizing the equation sin(x) = cos(pi/2 - x) is another method of converting sin to cos.
According to question:\($(\frac{-\cos\theta}{\sin\theta})\cdot(\frac{-\cos\theta}{\sin\theta})=\frac{\cos^2\theta}{\sin^2\theta}=\frac{1-\sin^2\theta}{\sin^2\theta}=\frac{1}{\sin^2\theta}-1=\csc^2\theta-1.$$\)
Thus, required simplification of the expression is \(\csc^2\theta-1.$$\)
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refer to the graphs shown, which depict a perfectly competitive market and firm. if market demand is d0, the:
Firm shown in the graph will produce q0, but all the firms in the market will produce a total of Q0.
What is competitive market?A perfect market, sometimes known as an atomistic market, is described in economics by numerous idealizing requirements, together known as perfect competition, or atomistic competition. A competitive market is one in which no one customer or producer has sway over the market. Its reaction to supply and demand varies with the supply curve, which represents the quantity of a commodity. Perfect competition, monopolistic competition, oligopoly, and monopoly are the four types of economic market systems.
Here,
The business on the graph will create q0, but the market as a whole will yield Q0.
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Write four thousand twenty four and seventy six thousandths in
number
inta decimall
Answer:
4,024.076
Step-by-step explanation:
and = Decimal point
0 = tenths 7 = hundredths 6 = thousandths
help please bad please
Answer:
\( \displaystyle A .20\)
Step-by-step explanation:
By tangent theorem we acquire:
\( \displaystyle x + 10 = 9 + 21\)
simplify addition:
\( \displaystyle x + 10 = 30\)
cancel 10 from both sides:
\( \displaystyle x = 20\)
hence,
our answer is A
chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
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If x varies directly as y, find x when y = 8.
x = -4 when y = 10
X =
Answer:
9.6
Step-by-step explanation:
I think!
Which mathematical figure has length but no beginning or end?
O a point
O a segment
O a line
O a ray
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Find the length of side x in simplest radical form with a rational denominator
Answer:
4
Step-by-step explanation:
that is what i think it is i am almost positive
Abdi reads for twice as many hours per week as Sarwan. Together they read for a
total of 24 hours in one week.
Find the number of hours each person spent reading
that week.
Write two equations to represent the information.
Use the method of substitution to find the number of hours each person spent
reading that week.
Answer:576
Step-by-step explanation:
24x24=576
7+9876*67781+543523153
Answer:
1212928316
Step-by-step explanation:
i need help with the question
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
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Solve using the tangent formula(real answers please)
Answer:
21.17
Step-by-step explanation:
tan= opposite/ adjacent
tan(36)= x/29
0.73= x/29
x= 21.17
G(x) = x-2/x+2 when g (4)
Answer:
g(4) = 1/3
Step-by-step explanation:
G(x) = x-2/x+2
To find g(4) let x= 4
G(4) = (4-2)/(4+2)
= 2 / 6
Simplifying
= 1/3
g(4) = 1/3
\(\huge \boxed{\color{fuchsia} \tt Question :}\)
\( \rm \dag \: g(x) = \dfrac{x - 2}{x + 2} \: when \: g(4).\)
\(\huge \boxed{\color{fuchsia} \tt Answer :}\)
\( \rm \dag \: g(x) = \dfrac{x - 2}{x + 2} \)
Now, in g(4), x = 4
\( \rm : \implies \: g(4) = \dfrac{4 - 2}{4+ 2} \\ \rm : \implies \: g(4) = \cancel{\dfrac{2}{6}} \\ \rm : \implies \: g(4) = \dfrac{1}{3} \)
\( \tt Hence, \: {\color{cyan}g(4) = \dfrac{1}{3}} \: is \: the \: answer.\)
Write an equation in slope-intercept form (-5,-7);y=-2x+4
Answer:
Step-by-step explanation:
First, let us substitute x and y values: -7 = -2(-5) + 4
Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).
Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:
14 + b = -7
by simplifying, we can conclude that b = -21
Finally, we can plug in the b-value into our original equation:
y = -2x + 4 - 21
After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).
89.80 divided 4 plz help٩(๑❛ᴗ❛๑)۶
Answer:
22.45
Step-by-step explanation:
Answer:
89.80 divided by 4 is 22.45
Step-by-step explanation:
im just cool
A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3. Find the perimeter and area of the dilated figure.
A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3.The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).
Let's begin by finding the side length of the original square. Since the perimeter of the square is given as 24 m, we can divide it by 4 (as a square has four equal sides) to find the length of each side. Therefore, the original square has a side length of 6 m.
To find the perimeter of the dilated figure, we need to multiply the side length of the original square by the scale factor of 3. So, the new side length of the dilated figure is 6 m * 3 = 18 m. Since the dilated figure is also a square, all its sides are equal. Therefore, the perimeter of the dilated figure is 18 m + 18 m + 18 m + 18 m = 72 m.
To find the area of the dilated figure, we need to square the new side length of 18 m: \(18 m * 18 m = 324 m^2\). Hence, the area of the dilated figure is \(324 m^2.\)
The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).
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How do I find GBA and show all the work
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°A person leaves home and walks 4 miles west, then 5 miles southwest.
How far from home is she?
miles
In what direction must she walk to head directly home?
degrees North of East
The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.
To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).
To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).
To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.
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jasmine has a collection of 80 seashells of all the seashells in her collection 35 percent of them are white how man of jasmines seashells are white
Answer:
28% is your awnser
Step-by-step explanation:
um If you look up what is 35 percent of 80 you will get your awnser
your friend ran 6 more miles than anna
Answer:
thanks for the points
Step-by-step explanation:
21n over 9n in lowest terms
Answer:
21n/9n
= 7n/3n
21n/9n in the lowest terms is 7n/3n
Which is the following is an incorrect way to label the line in the diagram below?
Answer:
line T
Step-by-step explanation:
Don't quote me on this, but I've never seen a t lookin like that on a plot. plus, if it was line DEF that would make line DF incorrect too. so yeah it's most likely line t.
Myron records the number of chirps per minute (x) that crickets make at
different temperatures (v) in degrees Fahrenheit.
He determines that the association is linear and that the line of best fit is
y=+50.
What is the interpretation of the slope and y-intercept of this equation?
A. The slope predicts a temperature increase of about 50° for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x = 0), the temperature is 0°.
B. The slope predicts a temperature increase of about 6* for every
increase of 50 chirps per minute. The y-intercept shows that when
the crickets are not chirping (x= 0), the temperature is
OC. The slope predicts a temperature increase of about for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x = 0), the temperature is 50°.
D. The chirping increases as the temperature goes down.
The correct interpretation of the slope and y-intercept of the equation
y = 50 is:
A. The slope predicts a temperature increase of about 50° for every increase of 1 chirp per minute. The y-intercept shows that when the crickets are not chirping (x = 0), the temperature is 0°.
In the given equation y = 50, the slope of 50 indicates that for every increase of 1 chirp per minute (x), the temperature (y) increases by approximately 50° Fahrenheit.
The positive slope suggests a positive correlation between the number of chirps per minute and temperature.
The y-intercept of 0 in this equation represents the temperature when the crickets are not chirping (x = 0). It implies that when there are no chirps per minute, the temperature is at 0° Fahrenheit.
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Find an equation for the perpendicular bisector of the line segment whose endpoints
are (7,4) and (-5,8).
9514 1404 393
Answer:
y = 3x +3
Step-by-step explanation:
The midpoint of the given segment is a point on the line. That point is ...
M = ((7, 4) +(-5, 8))/2 = (7-5, 4+8)/2 = (1, 6)
The difference between the end points can be helpful in writing the equation.
(-5, 8) -(7, 4) = (-12, 4) = (Δx, Δy)
Then the general form of the equation of the perpendicular bisector can be written as ...
Δx(x -Mx) +Δy(y -My) = 0 . . . . . where midpoint M = (Mx, My)
-12(x -1) +4(y -6) = 0
Dividing by -4 and eliminating parentheses, we have ...
3(x -1) -(y -6) = 0
3x -y +3 = 0 . . . . general form equation for the line
y = 3x +3 . . . . . . slope-intercept form equation