Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.

A 6-column table with 3 rows. Column 1 has entries A, B, C. Column 2 is labeled Minimum Balance with entries 500 dollars, 250 dollars, 50 dollars. Column 3 is labeled Interest with entries 0.1 percent, 0 percent, 0 percent. Column 4 is labeled Overdraft protection with entries yes, no, no. Column 5 is labeled A T M Fees with entries 0 dollars for all A T M s, 0 dollars for A B C banks A T M s, 2 dollars per transaction. Column 6 is labeled Monthly Fee with entries 5 dollars, 10 dollars, 0 dollars with direct deposit.

Bryna should choose account
.

Answer:

A.

Step-by-step explanation:

By exterior angle theorem:

\(60 \degree + 2x \degree = 94 \degree \\ \\ 2x \degree = 94 \degree - 60 \degree\\ \\ 2x \degree = 34 \degree \\ \\ 2x = 34 \\ \\ x = \frac{34}{2} \\ \\ = 17\)

Answer:

Step-by-step explanation:

1. Abe had $156.43 in his account and then withdrew $24.97 and $39.41. The amount left is;

= 156.43 - 24.97 - 39.41

= $92.05

2. He needs to have at least a $100 to avoid a fee so the minimum he needs to deposit is;

= 100 - 92.05

= $7.95

Pay an additional $75. 00 with a payment made after the 15th day of the month it was due

Pay the monthly payment on time:

This is a responsibility of the buyer. In a contract, the buyer agrees to make regular and timely payments as agreed upon.

If a payment is going to be delayed, please inform the bank.:

This is also a responsibility of the buyer. If the buyer anticipates being unable to make a payment on time, it is their responsibility to inform the bank in advance.

For payments made after the 15th day of the month it was due, please include an extra amount of $75.00:

This is not a typical responsibility of the buyer. Imposing an additional fee for late payments is usually a condition set by the lender or mentioned in the contract, not a responsibility of the buyer.

Notify the bank of his or her intent to split a late payment into three partial payments:

This is a responsibility of the buyer. If the buyer is unable to make a full payment and wants to arrange a partial payment plan, it is their responsibility to inform the bank and negotiate the terms.

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Answer:

1/3x^2+1/8

Step-by-step explanation:

simplify the equation to 1/8+1/3x^2

Answer:

\(x = \frac{2(A_T) }{(AB) + (AC) + (BC)} \)

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

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The equation f(x) = x³ - 3x² - 24x + 9 has an absolute minimum of (-3, -81) and an absolute maximum of (5, 101) on the interval [-3, 5].

To find the absolute maximum and minimum of f(x) = x³ - 3x² - 24x + 9 on the interval [-3, 5], we need to first find the critical points and the endpoints of the interval.Taking the derivative of f(x) and setting it equal to zero, we get f'(x) = 3x² - 6x - 24 = 0. Solving for x, we get x = -2 and x = 4. which  are the critical points.

Now, we calculate the function at the critical points

f(-3) = -81, f(5) = 101, f(-2) = 1, f(4) = -7

Therefore, the absolute maximum value of the function is 101, which occurs at x = 5, and the absolute minimum value of the function is -81, which occurs at x = -3.

In summary, f(x) = x³ - 3x² - 24x + 9 has an absolute minimum of (-3, -81) and an absolute maximum of (5, 101).

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Step-by-step explanation:

10xy^2-5by^2+2ax^2-abx =

5y²(2x -b) + ax(2x -b) =

(5y²+ax) (2x-b)

Answer:

10xy^2

Step-by-step explanation:

10xy ^ 2-5by ^ 2 + 2ax ^ 2-abx

(10xy^2-5by^2)+(2ax^2-abx)

=5y² (2x -b) + ax (2x -b)  

=( 5 y ² + ax ()2 x--b

Answer:

By the end of the first year Dara will have $903.125 in his account.

Step-by-step explanation:

Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:

M(t) = M(0)*(1 + r/n)^(n*t)

Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.

In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:

M(1) = 800*(1 + 0.125/2)^(2*1)

M(1) = 800*(1.0625)^(2)

M(1) = 800*(1.0625)^(2) =903.125

By the end of the first year Dara will have $903.125 in his account.

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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Answer:

Answer is [6 18]

Step-by-step explanation:

4 x 2 = -8

2 x 7 = 14

-8 + 14 = 6, which will become the first element in our answer matrix

4 x 5 = 20

2 x -1 = -2

20 - 2 = 18, which will become the second element in our answer matrix

thus the answer is [6 18]

The answer is that there are no such two numbers that satisfy the given conditions.

To determine the values of a and b, we need to find the factors of -15 that add up to 5. The factors of -15 are -1, 1, -3, 3, -5, and 5. We can try different combinations of these factors to see which pair satisfies the conditions.

If we take a = -3 and b = 5, we have a + b = -3 + 5 = 2, which is not equal to 5. Similarly, for other combinations, we find that none of them satisfy the condition of adding up to 5.

Therefore, there are no two numbers that add to 5 and multiply to -15.

In this case, -15 is a prime number, meaning it has no factors other than 1 and itself. Therefore, it cannot be expressed as a product of two numbers. As a result, we cannot find two numbers that both add to 5 and multiply to -15.

The answer is that there are no such two numbers that satisfy the given conditions.

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A.  In the quadratic regression model, the explanatory variable is time and the response variable is the height.

The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

According to the explanation above the correct choice is A.

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Answer:

B 17.5 ft

Step-by-step explanation:

tangent = opposite / adjacent

tan 35° = h / 25

multiply both sides by 25

h = 25 (tan 35°)

tan 35° = 0.70 (from your calculator)

h = 25 (0.70)

h = 17.51 ft.

Answer:

Step-by-step explanation:

25, i think

Answer:  -11

Step-by-step explanation:

y²+7y+1​

(-3)^2 +7*(-3)+1

9 -21 + 1 = -11

Answer: A or B is your best choice

Step-by-step explanation: the last 2 are not correct because they were not real numbers stated in the question it's talking about negative numbers for X.

Answer:

Step-by-step explanation:

Let's see. The last two options don't make a whole lot of sense. The range of the graph is not all real numbers because you don't see y coordinates of the graph that are negative. The domain and range are not the same because the domain is mostly negative numbers whereas the range is just mostly positive numbers. The first option, The range of the graph is all real numbers less than or equal to 0, does not make sense because if it was less than zero, values like -5 or -100 would exist for the y coordinates. However, in this case, you can see that all of the y coordinates are positive.

Therefore, the answer is "The domain of the graph is all real numbers less than or equal to 0" or the second option.

Answer:

x=money

Step-by-step explanation:

3<=x<=4 (<= means greater than or equal to)

Answer:

1: the answer is 6x

2: its 39

Step-by-step explanation:

for 1 I I used 8 x X = 8x - 2 = 6x.

for 2 all I did was substrac 3 out of 42 which gave me 39

Good luck

Answer:

5/8

Step-by-step explanation:

Slope = rise/run

In this problem:

rise = 5

run = 8

Therefore, Slope = 5/8

Answer:

D

Step-by-step explanation:

Because you have to multipy 6 · 3 when you divide  you subract the exponents. therefore it will be m.

Answer:

Square root of 100.  

Step-by-step explanation:

Step-by-step explanation:

We can write 10 as a fraction 10/1, therefore,\(\sqrt{}\)100   is a rational number.

Part A : A rational no. between 5.2 and 5.5 is 5.3.  

It is rational because it can be expressed in the form  

p/q where p and q are integers and q is not equal to 0, which is 53/10

Part B: A rational no. between 5.2 and 5.5 is 5.29150262213

An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.

Answer:

Step-by-step explanation:

Square root of all prime numbers is irrational.

97 is an prime number. So √97 is an irrational number.

√98 = \(\sqrt{2*7*7}=7\sqrt{2}\)  is an irrational number.

\(\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}\) is an irrational number

√100 = 10 is a rational number.

Part A:

5.3 is a rational number.

Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal

Part B:

5.3020050......

Irrational numbers are non terminating non repeating numbers

Answer:

The correct answer is a) 12.6 ft

Step-by-step explanation:

I took the test and got it right:)

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles. The ladder goes at a height of 12.6082 feet.

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given that the length of the Ladder is 16 feet while the angle between the ladder leaning against the wall is 52°.

Trigonometric Ratios are the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Using Trigonometric Ratios of sin because of opposite over hypotenuse,

sin ∅=perpendicular/hypotenuse

sin(52) = x/16

16sin(52) = x

By calculating,

x = 12.6082 feet

Hence, the ladder goes at a height of 12.6082 feet.

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Answer:

S: {-2, -3}

Step-by-step explanation:

We can find which integers will make the inequality true by solving for p:

\(2p-8 < 5p+4\\2p < 5p+12\\-3p < 12\\p > -4\)

Since the solution to the inequality is p > -4, any integers greater than -4 will make the inequality true.

S:{-2, -3} is the only answer where all the integers are greater than -4.

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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