If leticia invested $12,000 in an account in which the interest earned is continuously compounded at a rate of %2.5 find the total amount after 15 years

When a template is created, dummy data is used to verify the formulas in the template.

A template is a pre-designed format or layout that can be used for various purposes, such as creating reports, invoices, or budgets. One of the most important aspects of creating a template is ensuring that all the formulas and calculations used in it are accurate and produce the desired results.

To verify the formulas in a template, dummy data is often used. Dummy data is a set of fictitious or meaningless data that is used to test and verify the functionality of a system or application. In the context of templates, dummy data is used to ensure that the formulas and calculations used in the template are working correctly.

To know more about template,

https://brainly.com/question/28626946

#SPJ11

According to the information, the angles of this triangle are: 90°, 60° and 30°.

To measure the angles of a triangle we must use a tool called a protractor. This ruler is circular in shape and has from 0° to 360°.

To measure an angle with this ruler we must locate the line that corresponds to 0° on one of the vertices, then we must identify which measure the other vertex passes through and that will be the value of that angle.

According to the previous procedure, if we analyze the angles of these figures with a protractor, we can infer that it has 90°, 60° and 30°.

Note: This question does not have the image. Below is the image:

Learn more about angles in: https://brainly.com/question/28451077

#SPJ1

Any piece of luggage must have a length, width, and height combined that is less than or equal to 150 cm. A traveler requests to take a package with the maximum permitted volume. if the length and width are to be equal, then the dimensions would be 48*96*72

Any piece of luggage must have a length, breadth, and height combined that is 216 cm or less.

L+W+H=216 (because we want the max volume, we may ignore the "less than part" and set them equal) (since we want the max volume, we can ignore the "less than part" and set them equal)

L = W if the length and width are equal.

Let's construct this new equation by swapping L for W.

Arrange H to the left so that H=216-2W when 2W+H = 216

Consequently, what is volume V=L*W*H=W=W2*(216-2W) =216W2-2W3 div./dW=432W-6W?

2\s432W-6W^2=0

72w-w2=0 divided by 6 on both sides.

W = 72 L H = 72 cm

L=2W is the only item that has altered.

Given that L+W+H=216 and that V=L*W*H=2W*W*(216-3W) =432W2-6W, 3W+H=216

864W-18W2 x 3 V prime

Set V prime to 0, solve it by dividing both sides by 18, and you'll get W = 48. dimensions will be

48, 96, and 72 cm in width ,lenght and height

Learn more about dimensions here

https://brainly.com/question/28815550

#SPJ4

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r\)

Answer:

5 was not multiplied by -1

Check the picture below.

so we know the Blondies are 3x3 and the Brownies are 6x6, and we also know there are four rows of each, hmmm how many columns of each anyway?

well, from the picture, we can see 4 rows of Blondies will be 12 in tall and 4 rows of Brownies will be 24 inches tall, so since the tray is full, it's width must be 12 + 24 = 36 inches, that means if it's width is 36 then

\(648=\stackrel{ width }{36}\cdot \stackrel{ length }{L}\implies \cfrac{648}{36}=L\implies 18=L\)

now, how many Blondies can we fit in 18 inches? well, we can fit 6 blondies, as you can see in the picture, how much area are they all Blondies taking up?  well, 12 * 18 = 216 in², hmmm what fraction of the tray is that?

\(\cfrac{216}{648}\implies \cfrac{1}{3}\qquad \textit{of the tray}\)

Answer:

The equation of the parabola is \(y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}\).  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

\(y = a\cdot x^{2}+b\cdot x + c\)

Where:

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(a\), \(b\), \(c\) - Coefficients, dimensionless.

If we know that \((3, -30)\), \((-2, 0)\) and \((18, 0)\) are part of the parabola, the following linear system of equations is formed:

\(9\cdot a +3\cdot b + c = -30\)

\(4\cdot a -2\cdot b +c = 0\)

\(324\cdot a +18\cdot b + c = 0\)

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

\(a = \frac{2}{5}\), \(b = -\frac{32}{5}\), \(c = -\frac{72}{5}\).

The equation of the parabola is \(y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}\).

Now, we calculate the average rate of change (\(r\)), dimensionless, between \(x = -2\) and \(x = 8\) by using the formula of secant line slope:

\(r = \frac{y(8)-y(-2)}{8-(-2)}\)

\(r = \frac{y(8)-y(-2)}{10}\)

\(x = -2\)

\(y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}\)

\(y(-2) = 0\)

\(x = 8\)

\(y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}\)

\(y(8) = -40\)

\(r = \frac{-40-0}{10}\)

\(r = -4\)

The average rate of change of the parabola is -4.

Answer:

CIAE

Step-by-step explanation:

Being your own hero means stepping up to the plate and giving it your all. Aiming to be a hero in your own life entails leading by example, acting with conviction, and living a purposeful life (most superheroes have side-kicks, henchmen, fans, or followers).

Being reliable and possessing high moral standards are essential qualities for a hero (sense of right and wrong). A personal hero can be genuine, imaginary, alive, or dead. If you don't already have one, you can make one based on the traits other people have that you admire or wish you had.

Another important quality of a hero is courage. Being independent, addressing your concerns, and being willing to take risks are all characteristics of a courageous person.

Heroes are upbeat and avoid dwelling on the bad because if they did, they wouldn't have the energy to save people. Heroes have self-confidence and believe they are capable of facing any challenge. Self-esteem and general life satisfaction can both rise as a result of positive thinking.

Learn more about real hero here;

https://brainly.com/question/11499506

#SPJ4

There are several factors to consider when determining whether samples are independent or not, such as the method of sampling, the characteristics of the participants, and the study design.

Based on the information provided, here are some possible answers:

A sample of school-aged children tested twice before and after an intervention: In this case, the samples are not independent, because the same children are tested twice, and the second measurement may be influenced by the first one (e.g. if they learn from their mistakes).

Therefore, there is a potential for carry-over effects or repeated measures. To address this, the study may use a crossover design, counterbalancing, or a washout period between the measurements.

Two groups of ASU students were surveyed, one from the Phoenix campus and one from the Tempe campus: In this case, the samples are independent, because they are drawn from two different populations (i.e., students from different campuses).

Therefore, there is no overlap or dependence between the groups, and each group can be treated as a separate sample. However, the study may need to control for other factors that could affect the results (e.g., age, gender, major).

A sample of 100 women was randomly divided into two groups, one for the control and one for the experimental group: In this case, the samples are independent, because they are randomly assigned to different groups. Therefore, there is no systematic bias or confounding variable that would affect the assignment or the outcome.

However, the study may need to ensure that the randomization process is truly random and that the groups are comparable in terms of baseline characteristics.

Multiple pairs of identical and fraternal twins both enrolled in the study are each separated into two groups: In this case, the samples are not independent, because the twins are related to each other (either genetically or environmentally).

Therefore, there is a potential for shared variance or clustering effects within each pair, and the independence assumption may not hold. To address this, the study may use a matched-pairs design, a cluster-randomized design, or a multilevel model that accounts for the nesting of the twins.

Learn more about the method of sampling at

brainly.com/question/12902833

#SPJ4

We can see that the experimental probability is smaller than the theoretical one.

The theoretical probability is equal to the quotient between the number of yellow marbles and the total number, so here we have:

T = 3/8 = 0.375

The experimental probability is equal to the quotient between the number of times that Mel got a yellow marble and the total number of trials, so here we have:

E = 12/40 = 0.3

So the experimental probability is smaller than the theoretical one.

Learn more about probability at:

https://brainly.com/question/25870256

#SPJ1

Answer:

Petra would need to save for 12 weeks to get 126

126+34.75=160.75

Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.

Here, So far and plans to save an additional $10.50 each week.

Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x

So, We can formulate;

⇒ 10.50x + 34.75 = 160.75

Solve for x;

⇒ 10.50x = 160.75 - 34.75

⇒ 10.50x = 126

⇒ x = 126/10.50

⇒ x = 12

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

The measure of the angle ∠BAD will be 110°. Then the correct option is B.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

DR is the tangent to Circle O. If m of angle DB = 140°. Then the equation is given as,

∠BCD = (1/2) arc DB

∠BCD = (1/2) x 140°

∠BCD = 70°

We know that the sum of the opposite angle of the cyclic quadrilateral is 180°. Then we have

∠BAD + ∠BCD = 180°

∠BAD + 70° = 180°

∠BAD = 110°

The measure of the angle ∠BAD will be 110°. Then the correct option is B.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

The missing graph is given below.

Answer:

Step-by-step explanation:

for a triangle inscribed in a semicircle that angle is always 90 degrees

9514 1404 393

Answer:

  C.  90°

Step-by-step explanation:

A triangle inscribed in a semicircle is always a right triangle. The measure of angle Y, which subtends an arc of 180°, is half the measure of the arc it subtends, so is 180°/2 = 90°.

The set of ordered pairs that does not represent a function is set {(9,1), (6,2), (3,3), (6,4)}. Therefore, the correct option is option 4.

A function is defined as a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. For a set of ordered pairs to represent a function, no two ordered pairs can have the same x-value with different y-values. In other words, in order for a set of ordered pairs to represent a function, each input (the first number in each pair) can only correspond to one output (the second number in each pair).

In option 4, we have two ordered pairs with the same x-value, (6,2) and (6,4), but with different y-values. This violates the definition of a function, so option 4 does not represent a function.

Hence, the set of ordered pairs which is not a function is option 4: {(9,1), (6,2), (3,3), (6,4)}.

Learn more about Function:

https://brainly.com/question/22340031

#SPJ11

Answer:

$48

Step-by-step explanation:

23+25=48

Answer:

-4 2/8 i think

Step-by-step explanation:

Answer:

Answer: 45 ∘  and 135  ∘

Step-by-step explanation:

Delta Math

To maximize the volume of an open-top container made from a 13-inch by 48-inch piece of plastic, you need to determine the optimal size of the squares to be cut out from each corner. Let 'x' be the side length of the square removed from each corner. After cutting, the dimensions of the container will be:

- Length: 48 - 2x
- Width: 13 - 2x
- Height: x

The volume of the container can be calculated using the formula: V = L * W * H.  the dimensions, we get:

V(x) = (48 - 2x)(13 - 2x)(x)

To find the maximum volume, we need to identify the value of 'x' that maximizes V(x). This can be achieved using calculus, by finding the critical points where the derivative of the function V(x) is zero or undefined.

Differentiating V(x) with respect to x and setting the derivative equal to zero, we can solve for the optimal value of 'x'. After performing these calculations, we find that the optimal size of the square to be cut out from each corner is approximately 1.52 inches. By removing 1.52-inch squares from each corner and folding up the flaps, the open-top container will have the maximum volume.

To know more about volume visit:

https://brainly.com/question/31606882

#SPJ11

1) The statement of Lin is correct.

2) (a) When scale factor, k = 9, area of the new triangle = 8100 square inches

(b) When k = 3/4, area of the new triangle = 56.25 square inches.

Given that,

A triangle has area 100 square inches.

It's dilated by a factor of k = 0.25.

When the triangle is dilated by a scale factor of k, then, each of the base and height is dilated by the scale factor of k.

So new area of the triangle after the dilation with the original triangle having base = b and height = h is,

Area of new triangle = 1/2 (kb)(kh) = k² (1/2 bh) = k² × Area of original triangle

Here original area = 100 square inches.

k = 0.25

New area = (0.25)² 100 = 6.25 square inches

So the correct statement is that of Lin.

Mai may found the new area by just multiplying the scale factor with 100, instead of taking the square of the scale factor. That is why she got 25 square inches as the new area.

2) (a) When k = 9,

Area of the new triangle = 9² (100) = 8100 square inches

(b) When k = 3/4

Area of the new triangle = (3/4)² (100) = 56.25 square inches

Hence the areas are found.

Learn more about Scale Factor here :

https://brainly.com/question/29464385

#SPJ1

The similarity between triangles is a useful concept for solving problems involving corresponding angles and sides.

If triangle ABC is similar to triangle DEF, this means that they have the same shape but possibly different sizes. This also implies that their corresponding angles are congruent and their corresponding sides are proportional.

In terms of the given angles, we know that angle A in triangle ABC corresponds to angle D in triangle DEF, angle B corresponds to angle E, and angle C corresponds to angle F. Therefore, if we know the measure of one of the angles in either triangle, we can use similarity to find the corresponding angle in the other triangle.

As for the sides, we can use the fact that they are proportional. For example, if we know the length of side AB in triangle ABC and its corresponding length in triangle DEF, say DE, we can set up a proportion such as AB/DE = AC/DF = BC/EF. From here, we can solve for any missing side length given the lengths of the other two.
To learn more about : triangles

https://brainly.com/question/1058720

#SPJ11

True. In determining the partial effect on a dummy variable (d) in a regression model with an interaction variable (xd), the value of the numeric variable (x) needs to be known.

When estimating the partial effect of a dummy variable (d) in a regression model that includes an interaction term (xd), the value of the numeric variable (x) is crucial. The interaction term (xd) is the product of the dummy variable (d) and the numeric variable (x). Therefore, the partial effect of the dummy variable (d) depends on the specific value of the numeric variable (x).

To compute the partial effect, you would need to fix the value of the numeric variable (x) and then calculate the change in the predicted outcome (ŷ) associated with a change in the dummy variable (d). This allows you to isolate the effect of the dummy variable (d) while holding the numeric variable (x) constant.

In summary, knowing the value of the numeric variable (x) is essential when determining the partial effect on a dummy variable (d) in a regression model with an interaction variable (xd). Without knowing the value of the numeric variable, it is not possible to estimate the specific effect of the dummy variable on the outcome accurately.

Learn more about variable here: https://brainly.com/question/11375885

#SPJ11

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

To know more about probability , refer here:

https://brainly.com/question/32004014#

#SPJ11

the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%.The Acosta family paid $91.83 for the meal, including the 15% tip.

To calculate the total amount paid, we need to add the original price of the meal to the tip amount. The price of the meal was $79.85, and the tip was 15% of that amount. To find the tip, we multiply $79.85 by 0.15 (or 15% expressed as a decimal), which equals $11.98. Adding the tip of $11.98 to the original price, the total amount paid is $91.83.

In more detail, a 15% tip means that 15% of the meal price is added as an extra amount to the bill. To calculate the tip, we multiply the meal price ($79.85) by 0.15 (or 15% as a decimal), resulting in $11.98. This represents the additional amount the Acosta family paid for the tip. To find the total amount paid, we add the tip amount to the original meal price: $79.85 + $11.98 = $91.83. Therefore, the Acosta family paid $91.83 for the meal, including the tip.

know more about total amount :brainly.com/question/29066172

#SPJ11

Answer:

angle c is 58 degrees and and angle a is 42 degrees

Step-by-step explanation:

Answer:

1.03

Step-by-step explanation:

10.52-1.25=9.27

9.27/3=1.03

The area of the region bounded between the given curves is =0.640675 unit square.

The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. The average of the two numbers is what you find there. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry.

The midpoint rule states that you can calculate the area under a curve by using the formula:

\(M_n=\frac{b-a}{2}[f(\frac{(x_0+x_1)}{2})+f(\frac{x_1+x_2}{2})+....+f(\frac{x_{n-1}+x_n}{2})]\)

In our case a=0 ,b=1 ,n=4

\(x_0=0 ,x_1=1/4,x_2=1/2, x_3=3/4\ and \ x_4=1\)

Therefore, we have-

\(M_4=\frac{1}{4}[f(\frac{1}{8})+f(\frac{3}{8})+f(\frac{5}{8})+f(\frac{7}{8}]\)

now to evalute f(x),

\(f(x)=cos^{2}(\frac{\pi x}{4})-sin^{2}(\frac{\pi x}{4})\\ \\f(x)= cos(\frac{\pi x}{2})\\\\f(1/8)=cos(\frac{\pi}{16})=0.9807\\\\f(3/8)=0.8314\\\\f(5/8)=0.5555\\\\f(7/8)=0.19509\)

hence the value of integral is equal to -

M4= 2.56279÷4=0.640675

The area of the region bounded between the given curves is =0.640675 unit square.

learn more about the midpoint formula,

https://brainly.com/question/30242987

#SPJ4

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation: