Please select the best answer from the choices provided
A
B
C
D​

11 weeks

Explanation:

The minimum balance for the checking account = $200

The amount in savings account = $60

Amount to be deposited weekly in order to meet up the $200 = $15

Amount to be left in savings account = $25

First, we would subtract $25 from $60

$60 - $25 = $35

This way $25 remains in the savings account

The $35 dollar is the starting amout for the contribution for the $200 checking account minimum.

To determine, the remaining money to be paid:

$200 - $35 = $165

Number of weeks to contribute $15 to make of $165:

= 165/15 = 11 weeks

Therefore, the minimum amount of weeks that it will take to open a checking account with at least $200 and still have $25 in your savings account is 11 weeks

Answer:

3280cm²

Step-by-step explanation:

We are told the gift box is folded into a Pyramid with a square base.

Hence, we are to find the Surface Area of a square pyramid

From the question, we are given:

Length of the base of the square = 10cm

Triangle

Side length = 10cm

Height = 8 2/3 cm

A square Pyramid has 5 faces: 4 triangles and 1 square.

Step 1

Find the Area of the square

Formula = Side length² this is because all the side of a square is equal.

Length of the base = 10cm

Area of the square = (10cm)²

= 100cm²

Step 2

Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.

Hence, for one triangle.

Area of a triangle = 1/2 × base × height

Base = side length = 10cm

Height = 8 2/3 = 8.6666666667cm

Area of a triangle = 1/2 × 10 × 8.6666666667

Area of a triangle = 43.333333333cm²

Since we have 4 triangles

We would have : 4 × 43.333333333cm²

= 173.33333333cm²

The Area of the 4 equilateral triangles =

173.33333333cm²

Step 3

The Surface area of the Square Pyramid

= Sum of the areas of all the faces.

= 100cm² + 173.33333333cm²

= 273.33333333cm²

Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²

Step 4

The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²

= 3280cm²

Answer:

3a.=20ft  3b.=1 second 3c.=3.25seconds

Step-by-step explanation:

Hello, Courtney!

h(t)=-5t^2+10t+20

20 would be the height so 3.a would be 20ft

3b.  25=-5t^2+10t+20

-5t^2+10t-5 then divide by greatest factor the answer would 1 second

3c.    0=-5t^2+10t+20 divide by greatest factor and would get 3.25 and -1.25 but can't have negative so the answer is 3.25.

I hope this helps

best you know who!

Answer:

Tony's solution strategy

Step-by-step explanation:

Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25

This can be written in standard form as x^2 - 16x - 25 = 0

This can then be factorized using the general formula

x = -b±√b²-4ac/2a where a, b and c are constants

From the given expression;

a = 1, b = -16, c = -15

Hence the best strategy that would have worked based on the explanation is Tony's

Answer: Neither

Step-by-step explanation: got it right on khan

The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.

However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.

Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.

Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.

To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.

These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.

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Answer:

-17/5

Step-by-step explanation:

Multiply ten to everything to get

6x-1= x+2-20

Simplify to 5x= -17

Solve to get x = -17/5

Answer:

9 hours

Step-by-step explanation:

just do 441/7 and then you get 63 miles per hour

and then you divide 567/63 and you get 9!

easy peasy hope I helped

A roster of twenty-four players divided into four teams can be represented by the expression 24/4.

Given

24 players total

(4) teams total.

This can be expression as = 24 / 4.

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Answer:

you can pick any of them

Step-by-step explanation:

Answer: Any are right

Step-by-step explanation:

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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The inverse of the given function is y = 3-x/3. The graph is attached below.

Functions are written in terms of variables. Given the linear function

f(x) = -3x + 3

Find the inverse

y = -3x + 3

Replace the variables

x = -3y + 3

Make y the subject of formula

3y = -x + 3

y = 3-x/3

Plot the graph of the resulting function

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The solution to the equation "5*2-3^2 / (3^2-(-2))^2" after solving it is 1/121

To solve the equation 5*2-3^2 / (3^2-(-2))^2, we need to simplify the numerator and the denominator. This will give us this:

5*2-3^2 / (3^2-(-2))^2 =

= 10 - 9 / (9 - (-2))^2

Simplify further to make the number reduced

10 - 9 / (9 - (-2))^2

After the subtraction at the numerator level, the denominator figures have two minus signs which becomes a plus. As a result, we realize the value below

= 1 / (11)^2

In order to remove the bracket in the denominator, it implies that the number in bracket will be multiplied by itself since it is in the superscript of 2 which means 11 multiply by 11 or (11 x 11)

= 1/121

Therefore, to solve the equation 5*2-3^2 / (3^2-(-2))^2, one needs to simplify the equation and do the subtraction and addition from the numerator and the denominator respectively to realize the answer which is 1/121

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Answer: 1/121

Step-by-step explanation:

( 5 * 2 - 3^2 )/[ 3^2 - (-2)] ^ 2

= (10 - 9)/(9+2)^2

= 1 / 11^2

= 1/121

Answer:

Step-by-step explanation:

1. Vertical angles are complementary

2. Vertical angles are adjacent

3. The complement of an acute angle is an acute angle

4. The supplement of an obtuse angle is an obtuse angle

Answer:

No

Step-by-step explanation:

A function cannot have two of the same x values (3 and 3)

I hope this helps!

The z-score of a point can be calculated by using the formula :

z = (x - μ) / σ

To calculate the z-score of a data point, you would use the formula:

z = (x - μ) / σ

where x is the data point,

μ is the mean of the data set,

σ is the standard deviation of the data set.

To calculate the z-score using a calculator, follow these steps:

1) Enter the value of the data point (x) into the calculator.

2) Subtract the mean (μ) from the value of the data point (x - μ).

3) Divide the result from step 2 by the standard deviation (σ).

4) The final answer is the z-score.

Different calculator models may have different buttons or functions for calculating the mean and standard deviation, so refer to the manual of your calculator for instructions on how to input these values.

Therefore, we can calculate z-score on calculator

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A real estate agent gets commission as $39877.83 on selling three houses.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Jack is a real estate agent and makes 4.5% commission on all properties that he sells.

Last month, he sold three houses, one for $356,784, one for $234,500 and one for $294,890.

Here, commission on $356,784 is

4.5% of 356,784

= 4.5/100 ×356,784

= 0.045×356,784

= $16055.28

Commission on $234,500 is

4.5% of 234,500

= 4.5/100 ×234,500

= 0.045×234,500

= $10552.5

Commission on $294,890 is

4.5% of 294,890

= 4.5/100 ×294,890

= 0.045×294,890

= $13270.05

So, the total commission is 16055.28+10552.5+13270.05

= $39877.83

Therefore, a real estate agent gets commission as $39877.83 on selling three houses.

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Answer:

\(y = 2x - 3\)

Step-by-step explanation:

❗ The way I solved this problem doesn't involve me using point-slope form like the problem tells you to use❗

⭐ Perpendicular lines have a slope that is the opposite reciprocal of the slope of the line it is perpendicular to

⭐What does "opposite reciprocal" mean?

⭐What is slope-intercept form?

We can find the equation of the perpendicular line by:

1. Substituting the slope into the point-slope form equation:

⭐ Perpendicular lines have a slope that is the opposite reciprocal of the slope of the line it is perpendicular to

The slope of the line the perpendicular like is perpendicular to is \(\frac{-1}{2}\).

Therefore, the slope of the perpendicular line is \(2\)

Substitute the slope into the point-slope form equation.

\(y = 2x + b\)

Now, all we have to do is solve for b.

2. Substituting the given coordinate into the point-slope form equation:

We are given the coordinate (6,9).

\(y = 2x + b\)

\(9 = 2(6) + b\)

\(9 = 12 + b\)\(-3 = b\)

Substitute "b" into the point-slope form equation.

\(y = 2x + 3\)

only if it cuts AC in half

dont care the values of sides AD and DC

The minimum sample size would be 953.

What is the confidence interval?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used.

The given sample space is n = 300.

x = 101 plan to vote

P = x/n = 101/300 = 0.3367

95% confidence = \(P\pm Z_\frac{\alpha}{2}=1.96\)

Confidence Interval:

                         \(CI=P\pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}\\\\CI=0.3367\pm 1.96 \times \sqrt{\frac{0.3367(1-0.3367)}{300}}\\\\CI=(0.2832, 0,3902)\)

Margin of error = 3%

The margin of Error = \(Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}\)

                   \(3 \% = P\pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}\)

                  \(\frac{1}{\sqrt{n}}=\frac{0.03}{1.96\sqrt{(0.3367)(1-0.3367)}}\\\\\sqrt{n} = 30.875\\\\n = 953\)

Hence the minimum sample size = 953.

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Answer:

Exact Form: x=ln((27)/(2))

Or decimal form: 2.60269

\(|\Omega|=6\\|A|=3\\\\P(A)=\dfrac{3}{6}=\dfrac{1}{2}\)

Answer:

Step-by-step explanation: A represents 1, 3, 5, or a half of the numbers.

3/6 reduces to 1/2 final answer.

A simplification of the expression 4³ + 4 · 5 is: B. 84.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

Expression = 4³ + 4 · 5

By taking the exponent, we have:

Expression = 64 + 4 · 5

By multiplying, we have:

Expression = 64 + 20

From the addition, we have:

Expression = 84

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a. The x-intercepts of the function are -√10 and √10.

b. The y-intercept of the function is -19.

c. There are no vertical asymptotes for the function.

d. The function does not have a horizontal asymptote.

a. To find the x-intercepts of a function, we set y = 0 and solve for x. In this case, we have the equation 2x² - 19 = 0. By factoring or using the quadratic formula, we find the solutions for x as -√10 and √10. These are the points where the graph of the function intersects the x-axis.

b. To find the y-intercept of a function, we set x = 0 and evaluate the function at that point. In this case, substituting x = 0 into the function f(x) = 2x² - 19 gives us f(0) = -19. Therefore, the y-intercept of the function is -19, indicating that the graph intersects the y-axis at the point (0, -19).

c. Vertical asymptotes occur when the function approaches positive or negative infinity for certain values of x. In the case of the function f(x) = 2x² - 19, there are no vertical asymptotes. The graph of the function is a parabola that opens upwards or downwards and does not have any restrictions or vertical gaps in its domain.

d. Horizontal asymptotes describe the behavior of the function as x approaches positive or negative infinity. For the function f(x) = 2x² - 19, it does not have a horizontal asymptote. The graph of the function extends indefinitely upwards or downwards without any horizontal line serving as a limit.

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The probability that a randomly chosen voter from the survey  is under 50 years old is 0.75

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

The table of values

Where we have

Voters under 50 years old = 847 + 804 + 773

Total = 3228

So, the required probability is

P = (847 + 804 + 773)/3228

Evaluate

P = 0.75

Hence, the probability is 0.75

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Answer:

That is not a function :)

Step-by-step explanation:

You can recognize functions by seeing if it passes the vertical line test. If you draw a vertical line anywhere are the grid and it crosses the equation in more then one place then it does not pass the test, and is not a function.

Here's an attachment that might help

Threat-asset matrices can be constructed, but not vulnerability-asset matrices.

What is vulnerability information security?

A security system weakness, fault, or error that could be used by a threat agent to compromise a secure network is known as a security vulnerability.

What do you think is the primary threat for service providers?

Inadvertent acts, potential human mistake or failure, potential variations in service quality by service providers, and power anomalies are among the main dangers to physical security.

The different types of vulnerability

In the table below four different types of vulnerability have been identified, Human-social, Physical, Economic and Environmental and their associated direct and indirect losses.

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