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The amount A in an account after 2 years when a principal of P dollars is invested at annual interest rate r (in decimal form) compounded annually is given by A = P(1 + r). Find r.
P= $3000, A = $3499.20
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12/1/2022

The slope and y-intercept of the linear equation 3x - 4y = 4 will be 3/4 and negative 1, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

3x - 4y = 4

Convert the equation into slope-intercept form, then we have

3x - 4y = 4

4y = 3x - 4

y = (3/4)x - 1

The slope and y-intercept of the linear equation 3x - 4y = 4 will be 3/4 and negative 1, respectively.

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Answer:

r = 12

Step-by-step explanation:

Answer:

272 trees are not oak.

Step-by-step explanation:

First, we need to convert 32% into a decimal by moving the decimal point to the left twice, to get 0.32. Then, we set up this equation:

0.32 x 400 = 128

Now, this is how many oak trees there are. It says to find how many trees are not oaks. So, we can do this by subtracting the total trees, which is 400 by 128:

400 - 128 = 272 trees.

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Answer: $795.70.

Step-by-step explanation: To calculate the amount of interest that Ayana will earn in 3 years, we need to first determine the annual interest rate. If the interest rate is 3% compounded annually, then the annual interest rate is 0.03.

Next, we need to calculate the total amount of interest that Ayana will earn over the 3 year period. To do this, we can use the formula for compound interest: A = P(1 + r/n)^nt, where A is the total amount of interest earned, P is the principal (initial amount of money in the account), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $730, r = 0.03, n = 1 (since the interest is compounded annually), and t = 3. Plugging these values into the formula, we get:

A = $730(1 + 0.03/1)^1*3 = $730(1.03)^3 = $730 * 1.09 = $795.70

Therefore, Ayana will earn $795.70 in total interest over the 3 year period. To the nearest cent, this is $795.70.

The lowest fraction for the given fraction [tex]\frac{4}{16}[/tex] is [tex]\frac{1}{4}[/tex].

Also the equivalent fraction with a denominator of [tex]32[/tex] is [tex]\frac{8}{32}[/tex].

Divide the numerator and denominator by their Greatest Common Factor in order to reduce a fraction to its lowest terms. This is often referred to as fractional simplification.

Here, the GCF of [tex](4,16)=4[/tex]. Therefore divide the numerator and denominator of the fraction by [tex]4[/tex].

[tex]\frac{4/4}{16/4} = \frac{1}{4}[/tex]

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.

Here, [tex]16[/tex] times [tex]2[/tex] give [tex]32[/tex]. Now, multiply the fraction with 2 on both the numerator and denominator.

[tex]\frac{4*4}{16*4} = \frac{16}{32}[/tex]

Therefore, the lowest fraction for the specified fraction is [tex]\frac{1}{4}[/tex]. Furthermore, the equivalent fraction with the denominator [tex]32[/tex] is [tex]\frac{16}{32}[/tex].

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a)  The students in the key club are 48students.

b)  The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4

The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.

Given,

The number of echo beach trips are 5,6,8,9,12,14.

And also given that the frequencies are 8,7,11,15,3,4

a) The students in the key club are,

∑[tex]F_{i}[/tex]=8+7+11+15+3+4

=48

∑[tex]F_{i}[/tex]=48

Therefore, the students in the key club are 48students.

b) Mean= ∑[tex]X_{i}[/tex][tex]F_{i}[/tex]/∑[tex]F_{i}[/tex]

=397/48

=8.27≈8.3

Therefore, Mean=8.3

Total number of observations=48

Here, it is an even number

[tex](48/2)^{th}[/tex]  [tex]24^{th}[/tex]position and [tex]((48+2)/2)^{th}[/tex] or [tex]25^{th}[/tex] position

X                      5       6            8                 9                     12              14

F                       8        7           11                 15                    3                 4

position           8    8+7=15   15+11=26    26+15=41         41+3=44    44+4=48

The value of X at  [tex]24^{th}[/tex] position is 8 and  [tex]25^{th}[/tex] position is also 8

Then, Median=(8+8)/2

=8

Therefore, Median=8.3

Mode= Highest frequency corresponding to X value

=9

Therefore, Mode=9

Range=Highest value-Lowest value

=14-5

=9

Therefore, Range=9

Variance=∑[tex]F_{i}[/tex]([tex]X_{i}[/tex]-[tex]\bar{X}[/tex])/∑[tex]F_{i}[/tex]

=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²

=87.12+37.03+0.99+7.35+41.07+129.96

=303.52

Therefore, variance=303.52

Standard deviation=√variance

=√303.52

=17.4

Therefore, standard deviation=17.4

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Answer:

[tex]\sf \dfrac{2}{3}[/tex]

Step-by-step explanation:

To simplify a fraction, divide the numerator and denominator by their greatest common factor (GCF).

List all the factors of 16 and 24:

Therefore, the greatest common factor is 8.

So to reduce 16/24 to its lowest terms, divide the numerator and denominator by 8:

[tex]\implies \sf \dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]

a = 2000 and b = 0.5

d. The coordinates of the vertical intercept of the function are given as follows: (0,20), meaning that the initial height of the rocket is of 20 feet.

e. The practical domain of the function is of: [0, 9.506]

f. The practical range of the function is of: [0, 371.563].

The function is given as follows:

h(t) = -16t² + 150t + 20.

The intercept represents the initial height of the rocket, that is:

h(0).

Hence:

h(0) = -16(0)² + 150(0) + 20 = 20 feet.

Hence the coordinates are:

(0,20).

For the practical domain, we have that:

For the practical range, we have that:

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Answer:

10008

Step-by-step explanation:

2^3 x 3^2 x 139 = 10008

The equation that shows how the total number of posts depends on the number of elapsed days is y = 9 + x

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the total post be represented by y

Let the daily post be represented by x

Since Julia has made 9 posts while trying out a new social media platform. Starting now, she plans to make 1 post daily. This will be illustrated thus:

y = 9 + (1 × x)

y = 9 + x

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Answer:

12

Step-by-step explanation:

add the number of days that the chicken laid 5 or more eggs

5 + 5 + 2 = 12

From the given frequency table, we observe that the chicken lays 5 or more eggs on day 4, 5 and 6, and the eggs laid by the chicken are the greatest on day 4.

A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension. Two or three columns make up a frequency distribution table.

here, we have,

All of the results are shown in the first column as individual values or as class intervals.

The table's second column contains the results' totals, which also display the frequency as vertical lines. It's not required.

The frequency of each result is revealed in the third column.

The frequency table uses lines to depict the number of laid eggs. Here, 5 is represented using a hashed line over four lines. Thus, we see that the maximum number of eggs laid are 6, on day 4.

Also, the chicken lays 5 or more eggs on day 4, 5 and 6.

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Answer:

Try with this

Step-by-step explanation:

22 that starts with ''m'' and 16 that start with ''a"

Answer:

I think your discount price would be $175, and your final price as $325.

Step-by-step explanation:

Answer: the answer would be 175

Step-by-step explanation:

Answer:

Step-by-step explanation:

M= 6 because 6+4=10 which is greater than 9

The distance traveled is 385miles

Answer:

To meet the financial goal of having 80,000 available for a child's education when they are 18, the parents must set aside $25,945.90 at 8% compounded semiannually.

Step-by-step explanation:

Recall properties of symmetry:

Using the properties we can state that:

A) x+2y=30

x=30-2y

B) x=8, y=11 and the solutions x and y represent the prices of tickets for students and non students.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x + 3y = 49

x + 2y = 30

A) From eq 2,

x+2y=30

x=30-2y

B) x and y represents the prices of tickets for students and non students.

2(30-y)+3y=49

60-4y+3y=49

y=60-49

y=11

x=30-2y

x=30-2(11)

x=30-22

x=8

The solutions x and y represent the prices of tickets for students and non students.

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The required area of the shaded region is 0.8339 in the given shown graph.

The area of the shaded region in a standard normal distribution represents the probability of a certain range of values occurring.

As per the question, the shaded region represents the area to the left of the value z = -0.97.

To find the area of the shaded region, we can use the standard normal distribution table, which gives the probability of a value occurring within a certain range of the mean.

In this case, we would look up the probability of a value less than or equal to -0.97 occurring.

According to the standard normal distribution table, the area to the left of z=-0.97 is 0.8339. This means that the shaded region has an area of 0.8339.

Therefore, the area of the shaded region would be 0.8339.

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Answer: B. Ryan is buying too many material things or spending too much on experiences so that he feels on par with his peers

Idioms

Idioms are phrases or expressions that have a specific meaning that is different from the meaning of the individual words, for example, the idiom "you have bitten off more than you can chew" implies that someone is trying to do something that is too difficult for him/her.

"Keeping up with the Joneses" is an idiom that refers to the urge to keep up with the social status, wealth, or popularity of other people around us. This situation causes someone to constantly compare himself/herself with others and buy the same goods in order to show that he/she has as much money as other people.

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c

Step-by-step explanation:

Because is líke a graphbyou could draw on it but your are going to alway use x.

Answer:

the answer is 0

Step-by-step explanation:

Answer: The tree is 17.62m high

Step-by-step explanation:

32.9 divided by 18.3, take that answer and multiply it by 9.8.

***My answer was rounded***

Answer:

a = 4p + 3

Step-by-step explanation:

The general form of a linear equation is y = mx + b

where y is the dependent variable, x the independent variable

m = slope(rate of change)

b = y-intercept which is the value of y when x = 0

In this problem, instead of x we are asked to use p and instead of y we are using a

Therefore we get

a = mp + b

We have to compute m and b

Since b is the value of a when p = 0, we can easily see that a = 3 when p = 0

Therefore:
a = mp + 3

To determine m, take any value of p, find the corresponding a from the table, plug in these values and solve for m

When  p = 1, a= 7

So we get

7 = m(1) + 3

7 = m + 3

or

m = 7-3 = 4

So the equation is
a = 4p + 3

You can verify this as correct by plugging in different values for p from the table and checking if you get the corresponding a value

let's convert the mixed fractions to improper fractions and the subtract.

[tex]\stackrel{mixed}{5\frac{3}{8}}\implies \cfrac{5\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{43}{8}} ~\hfill \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{8}~~ - ~~\cfrac{15}{4}\implies \cfrac{(1)43~~ - ~~(2)15}{\underset{\textit{using this as the LCD}}{8}}\implies \cfrac{43-30}{8}\implies \cfrac{13}{8}\implies {\Large \begin{array}{llll} 1\frac{5}{8} \end{array}}[/tex]

The y-intercept of the line of best fit is -5.18cm and it is showing the initial height of the plant immediately it was planted and it is not reasonable because it shows a negative height

The general form of the equation of a line in slope intercept form is expressed as;

y = mx + c

where;

m is slope

c is y-intercept.

Now, we are given the equation of the line of best fit as;

y = 0.404x - 5.18

where;

y represents the height of the plant above ground level.

x represents the number of days since it was planted.

a) From the given equation, we see that the slope is; m = 0.404 and that the y intercept is -5.18.

Now, what the y-intercept means is that the height of the plant is 5.18 cm below the ground and this is not reasonable.

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