3400 dollars is placed in an account with an annual interest rate of 7.5%. How much will be in the account after 17 years, to the nearest cent?

Answer: 18

Step-by-step explanation: 9 x 12 x 7.5 = 810

since it is inside out 810 x 2 = 1620

1620 divided by 90 = 18

Hope this helps

Answer:

88

Step-by-step explanation:

44 / 0.5 = 44*2 = 88

Answer:

Step-by-step explanation:

0.5 is the same as 5/10 which reduces to 1/2. Half of 44 is 22! The answer is 22!

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

2

y-intercept:  0 x  y 0 0 1 2

Step-by-step explanation:

Answer:

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Step-by-step explanation:

Considering the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

Solving the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]\left(-x^2-12x^3-8\right)^2[/tex]

As

[tex]\left(-x^2-12x^3-8\right)^2=\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right)[/tex]

So

[tex]\left(-12x^3-x^2-8\right)\left(-12x^3-x^2-8\right)[/tex]

[tex]\mathrm{Expand}\:\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right):\quad 24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

i.e.

[tex]\left(-x^2\right)\left(-x^2\right)+\left(-x^2\right)\left(-12x^3\right)+\left(-x^2\right)\left(-8\right)+\left(-12x^3\right)\left(-x^2\right)+\left(-12x^3\right)\left(-12x^3\right)+\left(-12x^3\right)\left(-8\right)+\left(-8\right)\left(-x^2\right)+\left(-8\right)\left(-12x^3\right)+\left(-8\right)\left(-8\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]\left(-a\right)\left(-b\right)=ab[/tex]

[tex]x^2x^2+12x^3x^2+8x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8x^2+8\cdot \:12x^3+8\cdot \:8[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+8x^2+8x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8x^2+8x^2=16x^2[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12x^3x^2+12x^3x^2=24x^3x^2[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12\cdot \:8x^3+8\cdot \:12x^3=2\cdot \:8\cdot \:12x^3[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+2\cdot \:8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

As

[tex]24x^3x^2=24x^5[/tex]

[tex]12\cdot \:12x^3x^3=144x^6[/tex]

[tex]2\cdot \:8\cdot \:12x^3=192x^3[/tex]

[tex]x^2x^2=x^4[/tex]

[tex]8\cdot \:8=64[/tex]

So

[tex]24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

[tex]\mathrm{Rewrite\:in\:standard\:form}[/tex]

[tex]144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Therefore,

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Keywords: expression

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Answer:

A : 428 ≤ 28x+42y B : 5.5238 trays

Step-by-step explanation:

X stands for # of pans of chicken and y stands for # of pans of wraps. Multiply 28 by 7 pans to get 196. then subtract the total guests by 196 to get 232. then divide that by how many a turkey wrap tray feeds so you get 5.5238

Final answer:

To ensure at least 428 guests are fed, using the given food pan capacities, Sabrina must prepare at least 6 trays of turkey wraps if she already plans on preparing 7 pans of chicken, according to the inequality 28x + 42y ≥ 428.

Explanation:

To solve this problem, we need to approach it in two parts. Let's tackle each part systematically.

Part A: Writing the Inequality

Let's let x represent the number of pans of chicken and y represent the number of trays of turkey wraps. Given that a pan of chicken feeds 28 guests and a tray of turkey wraps feeds 42 guests, and we need to feed at least 428 guests, we can write the following inequality:

28x + 42y ≥ 428

Part B: Finding the Minimum Number of Turkey Wraps Required

Given Sabrina prepares 7 pans of chicken, we need to find the minimum number of turkey wraps required. Substituting x = 7 into our inequality gives us:

28(7) + 42y ≥ 428

Solving for y gives:

196 + 42y ≥ 428

42y ≥ 232

y ≥ 5.5238

Since Sabrina cannot prepare a fraction of a tray, she must prepare at least 6 trays of turkey wraps to meet the minimum requirement, ensuring she has enough food to feed at least 428 guests.

Answer:

The graph is shown attached.

Step-by-step explanation:

i) The graph is shown attached

ii) The values shown are for the points with black dots.

Answer:

[tex]\frac{145}{24}\approx 6[/tex]***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

[tex](0,3)[/tex]

[tex](2,8)[/tex]

[tex](6,5)[/tex]

Step-by-step explanation:

I see that the graph crosses at [tex](0,3)[/tex],[tex](2,8)[/tex], and [tex](6,5)[/tex].

The equation [tex]y=ax^2+bx+c[/tex] tells us the [tex]y[/tex]-intercept is [tex]c[/tex] since when [tex]x=0[/tex] we have [tex]y=a(0)^2+b(0)+c=0+0+c=c[/tex].

The [tex]y[/tex]-intercept for our graph is [tex]3[/tex]. Therefore, [tex]c=3[/tex].

So far we have the equation:

[tex]y=ax^2+bx+3[/tex].

Let's enter the other points creating a system of linear equations to solve:

[tex]8=a(2)^2+b(2)+3[/tex]

[tex]5=a(6)^2+b(6)+3[/tex]

Let's simplify:

[tex]8=4a+2b+3[/tex]

[tex]5=36a+6b+3[/tex]

Let's subtract 3 on both sides:

[tex]5=4a+2b[/tex]

[tex]2=36a+6b[/tex]

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

[tex]-15=-12a-6b[/tex]

[tex]2=36a+6b[/tex]

Now adding the equations results in:

[tex]-13=24a[/tex]

Divide both sides by 24:

[tex]\frac{-13}{24}=a[/tex]

Now using one of the equations we can find [tex]b[/tex]:

[tex]5=4a+2b[/tex] with [tex]a=\frac{-13}{24}[/tex]

[tex]5=4\frac{-13}{24}+2b[/tex]

[tex]5=\frac{-13}{6}+2b[/tex]

Add 13/6 on both sides:

[tex]5+\frac{13}{6}=2b[/tex]

[tex]\frac{30+13}{6}=2b[/tex]

[tex]\frac{43}{6}=2b[/tex]

Divide both sides by 2:

[tex]\frac{43}{2(6)}=b[/tex]

[tex]\frac{43}{12}=b[/tex]

So we have the equation:

[tex]y=\frac{-13}{24}x^2+\frac{43}{12}+3[/tex]

Let's evaluate [tex]a+b+c[/tex] now:

[tex]\frac{-13}{24}+\frac{43}{12}+3[/tex]

[tex]\frac{-13+86+72}{24}[/tex]

[tex]\frac{73+72}{24}[/tex]

[tex]\frac{145}{24}[/tex]

Answer:

x ( 3x − 7 ) ( x ^3 + 2 )

Step-by-step explanation:

Answer:

  The point from which measurements are made. The point where all coordinate values are zero.

Step-by-step explanation:

In the Newtonian/Euclidean universe, the laws of geometry and physics are the same everywhere. Hence, in order to tell one place from another, we define a point of origin from which all coordinates are measured. Then, every point in space can be named in terms of its coordinates relative to the origin.

Answer:

D

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5/5 = 1

1 x 9 = 9

Answer:

9

Step-by-step explanation:

Answer:

look at the picture shown

Using the order of operations (PEMDAS), the expression 5 + 3 × (5 - 2) 2 evaluates to 32.

The expression to be evaluated is 5 + 3 × (5 - 2) 2. In mathematics you should always follow the order of operations, often remembered by the acronym PEMDAS which stands for: Parentheses, Exponents (i.e. Powers and Square Roots, etc.), Multiplication and Division, Addition and Subtraction. So in this case you should first evaluate the expression inside the parentheses (5 - 2), which equals 3. Then, 3 is squared to get 9 and is multiplied by 3 to get 27. Finally we add 5 to get a final answer of 32.

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Answer:

The width of the roof is 12

Step-by-step explanation:

Divide the figure as shown in the attachment.

Recall that slope is rise over run.

Then the slope of the roof in terms of x is

[tex] \frac{8}{x} [/tex]

But we were given in the question that the slope is 2/3.

This implies that:

[tex] \frac{8}{x} = \frac{2}{3} [/tex]

Cross multiply to get:

[tex]2x = 3 \times 8[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

You can hit the pi button on your calculator or find websites will all the pi numbers.

Answer:

About 51.43 degrees.

Step-by-step explanation:

In order to find the angle measures, you divide 360 by the number of sides your shape has. In this case you divide 360 by 7.

Answer:

F=70.7

Step-by-step explanation:

This is a simple substitution problem.

The resulting temperature in Fahrenheit is 70.7°F.

To convert a temperature from Celsius (°C) to Fahrenheit (°F), you can use the formula:

F = (9/5)C + 32

Given that the temperature is 21.5°C, we can substitute this value into the formula:

Multiply the Celsius temperature by 9: 9 * 21.5 = 193.5

Divide the result by 5: 193.5 / 5 = 38.7

Add 32 to the quotient: 38.7 + 32 = 70.7

Therefore, the temperature in Fahrenheit is 70.7°F.

Final answer:

The converse of the given statement switches the hypothesis and conclusion, leading to 'If you do not score well on exams, then you study in front of the television', which corresponds to option H.

Explanation:

The question asks for the converse of a given statement, which is a key concept in logical reasoning and mathematics. The original statement is If you study in front of the television, then you do not score well on exams. To find the converse, you switch the hypothesis and conclusion of the statement. Therefore, the converse is: If you do not score well on exams, then you study in front of the television. This means the correct answer is option H.

If you don't score well on exams, then you study in front of the television.

To find the converse of a conditional statement, we simply switch the hypothesis and the conclusion.

The original statement is: "If you study in front of the television, then you do not score well on exams."

The converse of this statement would be: "If you do not score well on exams, then you study in front of the television."

So, the correct answer is: "If you do not score well on exams, then you study in front of the television."

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex]

At cost $27.87/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex][tex]\times 27.87 = \frac{933.08}{24.35} = 38.31[/tex]

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

Answer:

12

Step-by-step explanation:

Final answer:

Maria can expect to roll an 8 around 12 times after rolling her eight-sided die 96 times, as calculated by multiplying the probability of rolling an 8 (⅓) by the number of rolls (96).

Explanation:

The student is asking about the expected number of times a specific outcome will occur when rolling an eight-sided die multiple times. In Maria's case, she is rolling the die 96 times and wants to know how many times she can expect to roll an 8.

To calculate this, we'll use the principle of theoretical probability, which states that the expected frequency for any event is the product of the total number of trials and the probability of the event occurring in a single trial. Since the die is fair and has eight sides, the probability of rolling an 8 on any given throw is ⅓ (or 1 out of 8).

Therefore, Maria can expect to roll an 8 about 12 times in 96 rolls of the die.

The appropriate measure of central tendency for the data in the stem and leaf plot, which is skewed to the right is the median

What is the median of a dataset?; The median of a dataset is the value located at the center of the dataset when the data are arranged in increasing order of magnitude.

The data in the stem and leaf plot can be presented as follows;

5, 6, 10, 12, 13, 13, 14, 21, 29, 42, 51

The number of data points are 11, therefore, the median is the 6th term, which is the number 13

The mode of the data is 13

The mean of the data is; (5+6+10+12+13+13+14+21+29+42+51)/11 ≈ 19.64

The mean is larger than the median, which indicates that the data values are skewed to the right

The appropriate measure of the center of the data whereby some of the values are much larger than the median and a few values, hence the data is skewed is the median

For the stem-and-leaf plot of pounds of food collected, the most appropriate measure of center is the median, providing a robust representation of the central tendency of the data.

In the given stem-and-leaf plot depicting the pounds of food collected, the most appropriate measure to describe the center of the data is the median.

The median is the middle value in a dataset when it is ordered from least to greatest. In this case, the stem-and-leaf plot already presents the data in ascending order within each stem. To find the median, we look for the middle value. Since the data is arranged systematically, we can identify the median as the value that separates the lower half from the upper half of the dataset.

Looking at the stems and their corresponding leaves, the median is the value in the middle of the dataset, which is the 3 in the second stem. The median is less sensitive to extreme values or outliers than the mean, making it a robust measure of central tendency.

In contrast, the mean (average) might be influenced by extreme values, the interquartile range focuses on the spread of the middle 50% of the data, and the range considers the difference between the maximum and minimum values.

The question probable may be:

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

A stem and leaf plot showing the pounds of food collected is shown.

Stem    Leaf

0           5    6

1            0    2   3   3   4

2            1    9

3

4            2

5            1

interquartile range

median

mean

range

Answer:

the answer is savings (d).

Step-by-step explanation:

I had a test and this helped a LOT so now I can help you,

hope it helped.

If you are not prepared for an emergency, the most likely missing element from your financial plan is savings.

Setting and accomplishing financial objectives through the process of developing a plan to control income, spending, and investments is known as financial planning. Financial planning is to assist people and families in achieving independence, stability, and security in their financial lives.

In conclusion, financial planning is a thorough process that includes establishing financial objectives, assessing your present financial condition, creating a budget and savings plan, controlling debt and risk, and routinely reviewing and modifying your plan. Individuals and families may attain financial security and stability by following these steps as they work towards their long-term financial objectives.

Given data ,

Savings are most likely the component of your financial plan that is lacking if you are not ready for an emergency.

Each financial plan must include savings since they provide as a safety net in the event of crises like unanticipated medical costs, auto repairs, or job loss. Lack of funds may compel you to rely on high-interest loans or credit cards, which might result in long-term financial issues.

While having funds to cover unexpected costs should be a key concern, a financial plan should also include a budget, investments, and financing.

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Answer:

6/15

Step-by-step explanation:

First we are going to need to add the total number of marbles.

2+3+4+6=15

So the denominator will be 15.

It asks us to find the probability of blue marbles so we put how many blue marbles there is inside of the bag.

There are  six blue marbles.

So the probability is 6/15.

Or you could write it 6:15

Or percentage but that's no fun..

Final answer:

The probability of drawing a blue marble from a bag containing 2 red, 3 yellow, 4 green, and 6 blue marbles is 2/5, or 40%.

Explanation:

Calculating the Probability of Choosing Blue Marbles

The question asks about the probability of choosing a blue marble from a bag containing various colored marbles. With 2 red, 3 yellow, 4 green, and 6 blue marbles, the total number of marbles in the bag is 2 + 3 + 4 + 6 = 15. To find the probability of choosing a blue marble (P(blue)), we need to divide the number of blue marbles by the total number of marbles in the bag: P(blue) = Number of blue marbles / Total number of marbles = 6/15.

After simplifying, we get P(blue) = 2/5. Therefore, the probability of drawing a blue marble from the bag is 2/5, which can also be expressed as 0.4 or 40%.

Answer:

4

Step-by-step explanation:

5y-3=17

5y=17+3

5y=20

y=20/5

y=4

Answer:

Is a reflection across the x-axis

Step-by-step explanation:

The complete question is

Point D (9,-8) is  reflected to D' (9,8). Is it on the x axis or y axis?

we know that

The rule of the reflection of a point across the x-axis is

(x,y)-----> (x,-y)

the x-coordinate remains the same, but the y-coordinate is transformed into its opposite

In this problem we have

D (9, -8) ------> D' (9, 8)

The y-coordinate is transformed into its opposite

therefore

Is a reflection across the x-axis

Answer:

Since it was -45°F in the morning and -25°F in the night, you'd find the absolute value of those numbers.

Absolute value(definition)-

The distance from the zero

So the absolute values would be...

-45 to 45

and

-25 to 25

Then you would subtract 25 from 45, which of course, would result with 20.

20 degrees is your answer.

Have a good day~

Answer:

5+(23xN)

I think this is right. Sorry if I'm wrong.

Product of 4.21 and 1.31 gives 5.5

Product of 3.21 and 1.72 gives 5.5

Solution:

Given that,

We have to find two decimals that gives a product close to 5.5

So, when the two decimals are added, the product must be close to 5.5

Let us consider the following two decimals

4.21 and 1.31

Let us multiply 4.21 and 1.31 and check if their product is close to 5.5

[tex]4.21 \times 1.31 = 5.5151 \approx 5.5[/tex]

Thus, product of 4.21 and 1.31 gives a product close to 5.5

Similarly, consider two decimals 3.21 and 1.72

Let us multiply 3.21 and 1.72 and check if their product is close to 5.5

[tex]3.21 \times 1.72 = 5.5212 \approx 5.5[/tex]

Thus product of 3.21 and 1.72 gives 5.5