You put $500 in a savings account with a simple interest rate of 3%. How long did it take you to earn $30 interest?



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it is b Step-by-step explanation:

Answer:what are the answer choices

Step-by-step explanation:

Answer:

Point A = (0,1)  Point B = (1,2)  Point C = (2,4)

Step-by-step explanation:

To find a point's "ordered pair" (x and y coordinates), consider each line a single digit unless the problem states/shows otherwise (ex. if the lines were evidently counting by 2's). Here, we can see each line represents a single digit. First count how many lines to the left/right of the y axis the point is (this will be your x point - ex. point B in this problem has an x valued at 1 because the point was one line to the right of the bold vertical line in the middle (the y axis). If the point is to the left, it is a negative x value, right would be positive, and if the point is on the y axis line. x is 0. You are essentially counting how far along the x axis the point is. Same applies to the y values, given you do the opposite and count how far from the x axis (horizontal bold line) the point is. Above that line is positive, below is negative, and again, if the point is on the x axis (bold horizontal line), the y value is 0. Then simply fill your values in in their corresponding places in the brackets: (x,y).

Hope this helps :) I know math can be especially hard to grasp so it's always okay to ask for help/explanation.

The tree diagram that represents the events is an illustration of probability and combination

To draw the tree diagram, we make use of the following representations:

See attachment for the tree diagram.

From the tree diagram, the sample space is as follows:

S = {HR, HY, HB, TR, TY, TB}

This is represented as: TY

From the sample space above, we have:

TY = 1

Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1

We have:

TY = 1

Sample size = 6

Hence, the  of tossing tails and spinning yellow is 1/6

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Answer:

10 quarts.  :)

Step-by-step explanation:

Please answer the last question on my profile too for 23 points

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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The argument states that since all paintings by Matisse are beautiful and the museum has a painting by Matisse, the museum must have a beautiful painting.

The argument presented is an example of a logical fallacy known as affirming the consequent. It follows the form of a logical fallacy known as the fallacy of the converse. The fallacy of the converse occurs when one assumes that if the consequent (in this case, having a painting by Matisse) is true, then the antecedent (in this case, the painting being beautiful) must also be true. However, this is not a valid logical inference.

While it is true that the argument assumes that all paintings by Matisse are beautiful, it does not necessarily follow that the museum's painting by Matisse is also beautiful. There may be exceptions to the generalization that all Matisse paintings are beautiful. Additionally, beauty is subjective, and what one person finds beautiful, another may not.

Therefore, based on the argument presented, we cannot conclude with certainty that the museum has a beautiful painting solely because it possesses a painting by Matisse. The argument relies on a logical fallacy and does not provide sufficient evidence to support the claim that the museum's painting is beautiful.

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Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

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The dot plot with the least variability is the box plot B

From the question, we have the following parameters that can be used in our computation:

The dot plots A to D

By definition, the dot plot with the least variability is the dot plot with the least spread

From the list of options, we can see that

The dot plot B has the least spread with a range of 2

Hence, the dot plot with the least variability is B

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Yes, 90 degrees (clockwise) and -270 degrees (counterclockwise) are coterminal angles.

Two angles are coterminal if they share the same terminal side when drawn in standard position. In other words, coterminal angles differ by an integer multiple of 360 degrees.

To see if 90 degrees and -270 degrees are coterminal, we can add 360 degrees to the smaller angle (-270 degrees) and see if we get the other angle:

-270 + 360 = 90

Since we obtain 90 degrees after adding 360 degrees to -270 degrees, these two angles are coterminal. They share the same terminal side in standard position, even though their rotations have different directions (clockwise and counterclockwise).

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Answer:

Q = 12 units

Step-by-step explanation:

Pythagoras’ Theorem

a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute given values into the formula and solve for Q:

⇒ a² + b² = c²

⇒ 5² + Q² = 13²

⇒ 25 + Q² = 169

⇒ Q² = 169 - 25

⇒ Q² = 144

⇒ Q = √144

⇒ Q = 12 units

Answer:

Q = 12 units

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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Step 1

Rearrange the equation

Step 2

Test all options by rearrangement

Option A

Option B

Option C

Option D

Hence, the equivalent options to the equation are options B and C

Answer:

look in explanation

Step-by-step explanation:

what is the probability of the ball hitting u in dodge ball in pe

what is the ratio of your computer to everyone else's in comp science

how much of your essay did you finish (in a fraction)

how many people are there in psychology class for every notebook?

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=7 \end{cases}\implies V=\cfrac{\pi (3)^2(7)}{3} \\\\\\ V=21\pi \implies {\Large \begin{array}{llll} V\approx 65.97 \end{array}} ~in^3 ~~ \approx 66~in^3\)

Answer:

vertical

Step-by-step explanation:

This 'A' has vertical symmetry.

Answer: \(14.9^{\circ}\)

Step-by-step explanation:

Given

Applied force is 9 lb to hold of 35 lb crate on a hill

Suppose the hill makes an angle of \(\theta\) with horizontal

There will be two component of weights i.e. along and perpendicular to the hill

Only the component along the hill pulls the crate backwards

So,

\(\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}\)

To find the component form of the velocity of the airplane, we need to resolve the velocity vector into its horizontal and vertical components.

Assuming that the bearing of 110 degrees is measured clockwise from the North, the horizontal component of the velocity is given by:

cos(110 degrees) = -sin(20 degrees) ≈ -0.342

Horizontal component = 560 mph * (-0.342) ≈ -191.5 mph

Similarly, the vertical component of the velocity is given by:

sin(110 degrees) = cos(20 degrees) ≈ 0.940

Vertical component = 560 mph * 0.940 ≈ 526.4 mph

Therefore, the component form of the velocity of the airplane is approximately (-191.5 mph, 526.4 mph).

The amount of interest earned in 10 years is $75.

So, interest earned after 2 years = $15

Therefore, the amount of interest earned in 10 years is $75.

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The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

Step-by-step explanation:

Step one:

let the number of adults be x

and the number of children be y

cost of tickets $8 for adults and $5 for children

total tickets is 206

total money made=$1408

Step two:

The system of equation is

x+y=206--------1

8x+5y=1408-----2

from 1 x=206-y

put x=206-y in equation 2 we have

8(206-y)+5y=1408

1648-8y+5y=1408

-3y=1408-1648

-3y=-240

divide both sides by -3

y=80 children tickets

put y=80 in x+y=206--------1

x+80=206

x=206-80

x=126 adult tickest

126 adult tickest

Answer: Slope or gradient =2/5

Yintercept or where graph cuts the y axis is -9

Step-by-step explanation:

-9+2/5x=y

We can write it the other way around

y=2/5x-9

Because the line is of the form y=mx+b

We can simply read off the gradient or the slope

slope=2/5.... value in front of the x value or independent variable

the number part at the end lets us know where the graph crosses the y axis

b=-9

To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.

For the first inequality, -2x + 4 < 8, we will isolate x:

-2x + 4 - 4 < 8 - 4

-2x < 4

Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):

x > -2

For the second inequality, 3x + 4 ≤ -5, we isolate x:

3x + 4 - 4 ≤ -5 - 4

3x ≤ -9

Dividing both sides by 3:

x ≤ -3

Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.

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Mike made 15/18 of his free throw attempts.

Lisa made 14/18 of her free throw attempts.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

Mike made 5/6 of his free throw attempts.

And, Lisa made 7/9 of her free throw attempts.

Now, We can solve as;

To bring the denominator, we need to take the LCM of the denominator, therefore,

⇒ 5/6, 7/9

We know that the LCM of 6 and 9 is 18.

⇒ 5×3/6×3, 7×2/9×2

⇒ 15/18, 14/18

Thus, Mike made 15/18 of his free throw attempts.

And, Lisa made 14/18 of her free throw attempts.

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(-2, -3) || -3 + -2 < -5 || -5 < -5 || FALSE

(-4, -2) || -2 + -4 < -5 || -6 < -5 || TRUE

(-3, -2) || -2 + -3 < -5 || -5 < -5 || FALSE

(-1, -3) || -3 + -1 < -5 || -4 < -5 || FALSE

Correct Answer: (-4, -2)

Hope this helps!

Answer:

(-1,-3)

Step-by-step explanation:

(x,y)

it's not hard just plug in the coordinates for x and y ;-;

-2 is x, -3 is y

-3+-2<-5

-5<-5? false.

-4 is x, -2 is y

-2+-4<-5

-6<-5? false.

-3 is x, -2 is y

-3+-2<-5

-5<-5? false

-1 is x, -3 is y

-1+-3<-5

-4<-5? true

hopefully you found out the pattern in how to do this if you did not know. or if you simply were too l a z y to do it urself I understand that as well. have a great day!

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ x = 23}}}}}\)

Option B is correct.

Step-by-step explanation:

\( \star{ \text{ \: \: x - 8 = 15}}\)

\( \text{Step \: 1 \: : Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)

\( \hookrightarrow{ \sf{x = 15 + 8}}\)

\( \text{Step \: 2 \: : Add \: the \: numbers \: : 15 \: and \: 8}\)

\( \hookrightarrow{ \sf{x = 23}}\)

\( \sf{ \: The \: value \: of \: x \: is \: 23.}\)

\( \sf{Hope \: I \: helped !}\)

\( \sf{Best \: regards!!}\)

~\( \sf{TheAnimeGirl}\)

To determine the angle of rotation from ARST to AR'S'T', we need to consider the orientation of the two figures. From ARST to AR'S'T', the figure has been rotated counterclockwise. Therefore, the angle of rotation is in the counterclockwise direction.

To determine the magnitude of the angle, we can look at the new position of a point on the figure after the rotation.

Let's take point A on the original figure ARST. After the rotation, point A has moved to A', which is located in the second quadrant. To find the angle of rotation, we can find the angle that point A makes with the positive x-axis, and subtract it from the angle that point A' makes with the positive x-axis.

The angle that point A makes with the positive x-axis is 135 degrees (measured counterclockwise from the positive x-axis). The angle that point A' makes with the positive x-axis is 45 degrees (also measured counterclockwise from the positive x-axis). Therefore, the angle of rotation is:

45 degrees - 135 degrees = -90 degrees

Since the rotation is counterclockwise, the angle of rotation is in the counterclockwise direction. However, the magnitude of the angle is 90 degrees, not 270 degrees. Therefore, the answer is:

C. 90° counterclockwise
To find the angle of rotation from ARST to AR'S'T', follow these steps:

1. Identify the center of rotation, which is given as the origin.
2. Observe the positions of points A, R, S, and T in the original figure (ARST) and their corresponding positions in the transformed figure (AR'S'T').
3. Determine the direction (clockwise or counterclockwise) and the angle of rotation that would bring ARST to the position of AR'S'T' using the origin as the center.

Based on the given options:

A. If it is a 180° clockwise rotation, the positions of the points would be flipped horizontally and vertically.
B. If it is a 90° clockwise rotation, the positions of the points would be rotated a quarter-turn in the clockwise direction.
C. If it is a 90° counterclockwise rotation, the positions of the points would be rotated a quarter-turn in the counterclockwise direction.
D. If it is a 270° counterclockwise rotation, the positions of the points would be rotated three-quarter turns in the counterclockwise direction.

Compare the original and transformed positions of the points to identify which option aligns with the given transformation. Without specific coordinates for the points, we cannot provide a definite answer. However, you can use this process to determine the correct option based on the coordinates given in your problem.

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The simplified form of trigonometric expression, cosec θ / sin θ + cos θ cot θ is 1.

Given,

The trigonometric expression = cosec θ / sin θ + cos θ cot θ

We have  to simplify this expression.

For that we can use trigonometric identities.

cosec θ = 1 / sin θ

cot θ = cos θ / sin θ

We can substitute the above given identities in the expression.

Then we get,

cosec θ / sin θ + cos θ cot θ = (1 / sin θ) / (sin θ + cos θ x (cos θ/sin θ))

= (1 / sin θ) / ((sin²θ + cos²θ) / sin θ)

Cancel sin θ from both numerator and denominator.

= 1 / sin² θ + cos² θ

We know that sin² θ + cos² θ = 1

So, we get,

1 / sin² θ + cos² θ = 1 / 1 = 1

Therefore, the simplified form of  cosec θ / sin θ + cos θ cot θ is 1.

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The probability of being dealt 4​, ​5, 6​, 7​, and 8​, not necessarily in the same​ suit is  0.00039.

The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.

We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.

Possible ways= 4^5= 1024

Total selection= C(52,5)= 2598960

Probability of being dealt with  4​, ​5, 6​, 7​, and 8​ is 1024/2598960 which is equal to 0.00039.

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