Find the present value​ (the amount that should be invested now to accumulate the following​ amount) if the money is compounded as indicated.
​$6800 at ​4% compounded quarterly for 3 years

Answer:

the answer is 0

Step-by-step explanation:

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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a = 2000 and b = 0.5

Answer:

r = 12

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***

The market value of house increased by $68,340 and the current value of the house is  $470,340.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The market value of house before several years =$402,000

Also, the value of house increased by 17%.

The rise in value of house = 402,000 x 17/100

                                            = 68340

The value of house increased by $68,340.

The current value of house = 402,000 + 68340 = 470340

The current value of house is $470,340.

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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]

Answer:

151 1/8

Step-by-step explanation:

15 1/2: 31/2 9 3/4: 39/4

31/2 X 39/4= 1209/8

1209/8= 151 1/8

Answer:

Step-by-step explanation:

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

the answer is 21

according to my calculations 9+10= 21

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:

10008

Step-by-step explanation:

2^3 x 3^2 x 139 = 10008

c

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}

The equation of the total number of hours that Jack could use is t = 3.5n

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

Number of hours of study each night = 3 and a half hours

To start with, we need to represent the given parameter using numbers (fractions or decimal)

Using decimals, we have the following representation

Number of hours of study each night = 3.5 hours

Represent the number of nights as follows

Number of nights = n

Represent the total number of hours as follows

Total number of hours = t

So, we have the following equation

Total number of hours = Number of nights * Number of hours of study each night

Substitute the known values in the above equation, so, we have the following representation

t = 3.5 * n

Evaluate

t = 3.5n

Hence, the equation is t = 3.5n

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Answer: y=3.5x

Step-by-step explanation:

The coordinates of the focus of the parabola are (3, 2)

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -

y = a(x - h)² + k

We have the following equation of a parabola as -

f(x) = (1/4)(x - 3)² + 1

We can calculate the coordinates of the focus using the formula -

Focus : (h, k+ (1/4a))

[h] = 3

[k + (1/4a)] = 1 + (1/(4x 1/4) = 2

Therefore, the coordinates of the focus of the parabola are (3, 2)

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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: $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.

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:

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:

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

Answer:

42

Step-by-step explanation:

8.50 x 20 and then divide by 100

I hope this helps good luck!

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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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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Answer:

Try with this

Step-by-step explanation:

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

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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