A bank features a savings account that has an annual percentage rate of r=2.8% with interest. compounded quarterly. Benicio deposits $8,000 into the account.

Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.

The ice cream  shop sells small and large sundaes .

One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.

Therefore,

let

x = cost of each small sundae

y = cost of each large sundae

Therefore,

30x + 50y = 420

15x + 35y = 270

multiply equation(ii) by 2

30x + 50y = 420

30x + 70y = 540

subtract equation(i) from equation(ii)

20y = 120

y = 120 / 20

y = 6

Hence,

30x + 50(6) = 420

30x + 300 = 420

30x = 420 - 300

30x = 120

x = 120 / 30

x = 4

Therefore,

cost of small sundae = 4 dollars

cost of large sundae = 6 dollars

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Answer: [tex]-6, 0, 14[/tex]

Step-by-step explanation:

[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]

Answer:

5782

Step-by-step explanation:

td j envalentonado 8jdjdyzh d

The time Nancy spent working on her ela homework is equal to 2 hours.

The time Nancy spent working on her ela homework can be calculated by multiplication.

We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.

As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;

2 1/2 = 5/2 = 2.5 hours

Now multiplying it by the fraction of her time spent on ela homework,

Time spent on ela homework = 4/5 × 2.5

Time spent on ela homework = 10/5

Time spent on ela homework = 2 hours.

Hence Nancy spent 2 hours working on her ela homework.

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There is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above. The graph is attached in the end.

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. For example -

f(x) = 2x + 5

g(x) = 4x + 9

Given is function g(x) = (x - 4)² + 3

There is no need of any reference points to graph this function. You can take the reference points in a specific range. For example, you can plot the graph for the values of [x] from x = -5 to x = 5. It can be noticed that we have taken 5 - 5 points on both sides of the [x] axis. Make sure that you ensure this symmetry. Range could be any, for example from x = - 7 to 7, x = - 10 to 10 etc. The given function is -

g(x) = (x - 4)² + 3

We will plot the graph for x = -3 to x = 3

g(-3) = 52

g(-2) = 39

g(-1) = 28

g(0) = 19

g(1) = 12

g(2) = 7

g(3) = 4

Now, we will plot these coordinates on the graph. The plotted graph is attached with the answer.

Therefore, we can conclude that, there is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above.

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Answer:

Step-by-step explanation:

Here given ,

   y = 3 + 34x

 We have to find height of plant after 4 days,

 so, x = 4,

by substituting x,

y = 3 + 34 x 4

   = 3 + 136

   = 139 cm

here y = 3 means,

The corresponding function when the value of y =3 .

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The no. of schnauzers in the annual dog show are 20.

Assume that there are x Schnauzers at the annual dog show.

Scotties entered in the yearly dog show: x + 3

There are 2x - 5 Wirehaired Terriers entered in the annual dog show.

There are 78 dogs in all competing in the yearly dog show.

Consequently, the equation becomes

x + x + 3 + 2x - 5 = 78.

4x - 2 = 78

4x = 78 + 2

4x = 80

x = 80/4

  = 20

In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.

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the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)

Answer:

That is my own idea and I hope it is very helpful

The order from smallest to largest is a book, bread, penny, bills

In decreasing size, they are a book, a loaf of bread, a penny, and a bill.

The following details must be taken into account;

We can infer from the facts above that the smallest to largest items are books, bread, pennies, and cash.

Hence, The order from smallest to largest is a book, bread, penny, bills.

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If arthur walks 3 km north, and then turns east and walks 4 km. The  distance traveled  is 7km and his displacement is 5km.

Distance traveled:

Distance traveled = Km north + East Km

Distance traveled  = 3 km + 4 km

Distance traveled  = 7 km

Displacement

Using  Pythagoras theorem to determine  or find the displacement

B² = A ²+AB²

B² = 3 ² +4 ²

B = 9+16

B = √ 25

B = 5 km

Therefore the 7km is the distance and 5km is the displacement.

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The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,

The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,

So answer is,

Restaurant X: c = 5

Restaurant Z: 0.20n + 1.40

(b)

Plot the system of equation on the graph.

(c)

The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.

Answer: 18

Answer:

0

Step-by-step explanation:

the domain can’t be the same

Answer:

[tex] {2x}^{2} + 7[/tex]

so hope it helps

Answer:

Step-by-step explanation 10:

Possible answers to the expression 2x - 15 are given as follows:

An expression is solved isolating the variable of which we want to find the value.

In this problem, the expression is given as follows:

2x - 15 = c.

In which c is a constant that is not given in the incomplete problem here, hence we will attribute values to it.

With c = -35, we have that the solution is found as follows:

2x - 15 = -35

2x = -20 (-35 + 15)

x = -20/2

x = -10.

Now, if c = 3, the solution is calculated as follows:

2x - 15 = 3

2x = 18

x = 18/2

x = 9.

In your problem, a value for c(the right-handed side of the equality) will be given, and you will solve it applying the same procedure I applied in the answer here.

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1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.

2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.

The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.

The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.

1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC

We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.

The additional information needed is: c. AB/DB is proportional to EB/CB.

2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.

The additional information needed would be: a. ∠A ≅ ∠D.

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The value of XZ is 32.

What is the value of XZ?

Trigonometry simply means the branch of mathematics that is concerned with functions of angles as well as their applications to calculation. It also deals with the relationship between ratios and their angles.

From the figure, XY = 15 and YZ = 17

XZ is the sum of XY and YZ:

XZ = XY + YZ

XZ = 15 + 17 = 32

Therefore, XZ is 32.

This shows the concept of trigonometry.

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Answer:

42

Explanation:

Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;

Let's cross multiply;

Let's divide both sides of the equation by 5;

So the missing side length is 42

Answer:

[tex]y+2=\frac{5}{2} (x-6)[/tex]

Step-by-step explanation:

point-slope form: y-y1=m(x-x1)

x1=6

y1=-2

m=5/2

[tex]y+2=\frac{5}{2} (x-6)[/tex]

A) 1.5 (IQR) is used to identify outliers in a set of data.

What is the Interquartile range (IQR)?

The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.

The middle 50%, fourth spread, or H-spread are additional names for the IQR.

It is described as the discrepancy between the data's 75th and 25th percentiles.

The interquartile range is the best tool to use to find all of your outliers (IQR).

Knowing the IQR makes it simple to identify outliers because it represents the middle portion of your data.

Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR).

Quartile 1 (Q1) and Quartile 3 are these values (Q3).

The IQR represents the variation between Q3 and Q1.

As it is given in the description itself, the interquartile range is the best tool to use to find all of your outliers (IQR).

Therefore, (A) 1.5 (IQR) is used to identify outliers in a set of data.

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The correct question is given below:

Which of the following is used to identify outliers in a set of data?

(A) 1.5(IQR)

(B) 1.5(range)

(C) 2(mean)

(D) 2(median)

P.s hopes this helps

The slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .

How can we define the slope for a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is provided by the formula m = change in y/change in x = Δy/Δx, where "m" is the slope of a line.
Mathematically, slope of a line = m = (y₂ - y₁)/(x₂ - x₁)

Given, the line passes through the points (-2, 2) and (-4, -1)
Now, using the formula established in the literature, we get:
slope = m = (y₂ - y₁)/(x₂ - x₁) = (-1 - 2)/(-4 - (-2)) = -3/-2 = 3/2 = 1.5
Therefore, the slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .

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the correct answer is a so write it

Answer:

Step-by-step explanation:

See attached worksheet

Linear factors are the factors of a polynomial

What went wrong is that: Tyler's linear factors are incorrect

The polynomial function is given as:

Rewrite as:

Further rewrite as:

Factorize the above polynomial

Factor out x - 1 from the polynomial

This means that:

The linear factors are x - 1 and x^2 - 8x + 15

From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15

Hence, Tyler's linear factors are incorrect

12

1) Considering this Data Set:

8 12 15 9 10 12 12 18 14 15 10 11 12 9 17

2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:

Note that this is the data point that repeats itself the most.

Answer:

0

Step-by-step explanation:

Answer:

always go with C- trust me its helped me alot

Step-by-step explanation:

(f+g)(x) = x2+4x−4

Explanation: add them together

f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4