You deposit $100 in a savings account. The account earns 6% simple interest per year

Answer:

12x - 28° = 116°

7x + 32° = 116°

Step-by-step explanation:

12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.

Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:

12x - 28° = 7x + 32°

Collect like terms

12x - 7x = 28 + 32

5x = 60

Divide both sides by 5

5x/5 = 60/5

x = 12

✔️12x - 28°

Plug in the value of x

12(12) - 28

= 144 - 28

= 116°

✔️7x + 32°

7(12) + 32

= 84 + 32

= 116°

Answer:

30.48

Step-by-step explanation:

Look up foot to centimeter  :)

Answer:

30.48

Step-by-step explanation:

You take 2.54 and multiply it by the number of inches in a foot- 12.

The coordinates of the point B' after the dilation is B' ( 7/18 , -2/15 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the coordinates of the point after dilation be represented as B'

Now , the dilation scale factor d = 1/9

The coordinates of the point B = B ( 7/2 , -6/5 )

So , on simplifying the equation , we get

The x coordinate of the point B' = ( 7/2 x 1/9 )

The x coordinate of the point B' = 7/18

The y coordinate of the point B' = ( -6/5 ) ( 1/9 )

The y coordinate of the point B' = -2/15

Hence , the coordinates of the point B' is B' ( 7/18 , -2/15 )

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ1

Answer:

7 pizzas

Step-by-step explanation

First we subtract 58-25=33

Then we subtract 5-2=3

Now, we have 33 over 3 so we divide them and we get 11

So, that means that each pizza costs $11 and the fee that they charge for each pizza is 3.

So if the customer pays $80 that means that he bought 7 pizzas and he payed $3 fee.

Answer: 85.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

No; it is rational.  25/9 is the ratio of two integers.

Explanation:

We have a fraction of two integers, so 25/9 is rational. A rational number is any fraction of two integers (as long as the denominator is not zero).

Something that is irrational would be pi = 3.14159... where we cannot write it as a fraction of two integers. We can get approximations such as 22/7, but we cannot land exactly on pi with a fraction like this. Another irrational value is sqrt(2).

Something like sqrt(25) is rational though because sqrt(25) = 5 = 5/1.

Answer:

B. 0.25

Step-by-step explanation:

The probability of the coin landing on heads the first time is 1/2 since there are two sides. You would then multiply this by the 1/2 chance that you get heads on the second turn to get a probability of 1/4, or 0.25, that the coin will land on heads both times.

Answer: its A it's 50 to 50

Step-by-step explanation:

Answer:

4x²=2(x-4)

2x²=x-4

2x²-x+4=0​

x=1+√31​/ 4, 1-√31​/4

Step-by-step explanation:

1. Cancel log on both sides

2. Divide both sides by 2

3. Move all terms to one side

4. Use the quadratic formula

The total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.

If you have a credit card with an annual percentage rate (APR) of 30% and a minimum payment requirement of 8% of the balance, and you have a balance of $400 on the credit card, you decide to stop charging and pay it off by making the minimum monthly payment each month, here's how it would work:

The minimum monthly payment would be 8% of the balance, which is 0.08 x $400 = $32.

Each month, you would make a payment of $32 towards your credit card balance. However, keep in mind that the interest will continue to accrue on the remaining balance.

Since the APR is 30%, the monthly interest rate would be 30% / 12 = 2.5%.

To calculate the interest charged each month, you multiply the remaining balance by the monthly interest rate. For example, after the first payment, the remaining balance is $400 - $32 = $368. The interest charged for that month would be 2.5% x $368 = $9.20.

Therefore, the total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.

Each month, you would continue making the minimum payment, and the interest charged would be based on the remaining balance. The process would continue until the balance is paid off in full.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ1

The probability that each guest got one roll of each type is 3/1, which is a fraction with a numerator of 3 and a denominator of 1. Since the numerator and denominator are relatively prime integers, the value of m + n is 3

The equation for the probability that each guest got one roll of each type is m/n, where m and n are relatively prime integers.

We can expand this equation to

m/n

= 3/1.

Since the numerator and denominator are relatively prime integers, we can solve for m + n by multiplying both sides of the equation by 1.

Multiplying both sides of the equation by 1 gives us

m + n = 3.

Therefore, the value of

m + n is 3.

Let m = numerator and n = denominator in the probability of m/n.

Given that each guest got one roll of each type, the probability is m/n.

The numerator and denominator are relatively prime integers, so m and n have no common factors.

Therefore,

m + n = 3.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer: D. Up and to the right

Step-by-step explanation:

The slope of the line represented by the graph of a linear function is  -2/3.

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.

The line passes through the points A (2, 0) and  B (5, -2). The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 0) / (5 - 2)

m = -2/3

Therefore, the slope of the line represented by the graph of a linear function is  -2/3.

To solve more questions on straight lines, visit the link below-

https://brainly.com/question/23087740

#SPJ1

The slope of the line represented by the graph of a linear function is  -2/3.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.

The line passes through the points A (2, 0) and  B (5, -2). The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 0) / (5 - 2)

m = -2/3

Therefore, the slope of the line represented by the graph of a linear function is  -2/3.

To solve more questions on straight lines, visit the link below-

brainly.com/question/23087740

Answer:

3

Step-by-step explanation:

Answer:

The slope is 0

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Where the values of x and y are from the known points

Here the points are (-2,2) and (-1,2)

So we have (x1,y1) = (-2,2) and (x2,y2) = (-1,2)

This means, x1 = -2 , x2 = -1 , y1 = 2 and y2 = 2

We now plug these values into the slope formula

Recall slope = (y2 - y1) / (x2 - x1)

==> plug in x1 = -2 , x2 = -2 , y1 = 2,  y2 = 2

Slope = (2 - 2) / (-1 - (-2)

==> remove parenthesis

Slope = (2-2)  / (-1 + 2)

==> simplify addition and subtraction

Slope = 0 / 1 = 0

Answer:

x+15

Step-by-step explanation:

X stands for the number of cards the one person represent add 15 to the whatever number of cards you have.

Answer:

mep

Step-by-step explanation:

mep

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

The size of angle EAD is 40°.

To find the size of angle EAD, we can use the information given in the diagram and apply some basic trigonometry principles. Let's go step by step.

First, we notice that triangle CDB is a right triangle since angle CDB is given as 90°. We also know that angle DCB is 40°. This means that angle CBD can be found by subtracting 40° from 90°:

angle CBD = 90° - 40° = 50°.

Since E is the midpoint of DB, we can conclude that angle CBE is also 50°, as it is vertically opposite to angle CBD.

Now, let's consider triangle ADE. We know that angle EAD is the angle we're trying to find. We can use the fact that the angles in a triangle add up to 180° to write the equation:

angle EAD + angle ADE + angle DEA = 180°.

Since E is the midpoint of DB, we can conclude that angle ADE is equal to angle CDE. Angle DEA is equal to angle CEA. Therefore, we can rewrite the equation as:

angle EAD + angle CDE + angle CEA = 180°.

We can substitute the values we know: angle CDE is 90° (since it's a right angle), and angle CEA is 50° (since it's vertically opposite to angle CEB).

angle EAD + 90° + 50° = 180°.

Simplifying the equation:

angle EAD = 180° - 90° - 50° = 40°.

Therefore, the size of angle EAD is 40°.

For more question on angle visit:

https://brainly.com/question/25716982

#SPJ8

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

To know more about Probability on:

brainly.com/question/12478394

#SPJ1

Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

Answer:

D All positive integers are rational numbers.

Step-by-step explanation:

Integers are rational numbers

Autumn's bank registry will be :

Transaction Amount Balance

Paycheck $1275.00 $1275.00

Rent $400.00 $875.00

Utilities $75.00 $800.00

Cell Phone $80.00 $720.00

Subway Pass $120.00 $600.00

Groceries $200.00 $400.00

Work Clothes $100.00 $300.00

Entertainment $100.00 $200.00

Savings $200.00 $0.00

As you can see, Autumn has $0.00 left over at the end of the month. This means that she is spending more money than she is earning. In order to create a budget that works for her, Autumn will need to find ways to cut back on her expenses. Some possible areas where she could cut back include:

Autumn could look for a cheaper apartment or move in with more roommates. Autumn could turn off lights and appliances when she's not using them and seal up any cracks or holes in her apartment to keep the heat in during the winter and the cool air in during the summer.

By cutting back on her expenses, Autumn can create a budget that works for her and save money for the future.

Learn more about transactions on

https://brainly.com/question/1016861

#SPJ1

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

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

Answer:

Wait, the vector from despicable me or the math vector?

Step-by-step explanation:

If its the math vector than here: The correct answer is a vector

Answer:

what can I help you miss

Answer: A' = (1, 5)

              B' = (-3, 5)

              C' = (-3, 2)

              D' = (1, 2)

Step-by-step explanation:

Reflecting across the y-axis provides the opposite x-value.

   Z =  (x, y)    -->    Z' = (-x, y)

A = (-1, 5)       -->     A' = (1, 5)

B = (3, 5)       -->     B' = (-3, 5)

C = (3, 2)       -->     C' = (-3, 2)

D = (-1, 2)       -->     D' = (1, 2)

Answer:

24

Step-by-step explanation:

8 times 3=24

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.