Victoria is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Victoria need to invest, to the nearest hundred dollars, for the value of the account to reach $3,300 in 13 years?

Answer:

300 \(m^{2}\)

Step-by-step explanation:

The spread has a rate of 25 \(m^{2}\) per every 1/6 hour.  That can be expressed as   25 \(m^{2}\) per every 1/6 hour:

25 \(m^{2}\)/ (1/6 hour), or

150 \(m^{2}\)/hour

After 2 hours, the spread would be (150 \(m^{2}\)/hour)*(2 hours) = 300 \(m^{2}\)

Answer:

D

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = lbh ( l is length, b breadth and h is height )

Here l = 7, b = 2 and h = 4 , thus

V = 7 × 2 × 4 = 56 in² → D

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

For more such questions on triangle

https://brainly.com/question/1058720

#SPJ8

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

The number −4 is located at the Righthand side  of -7 and the lefthand side of -1

This is further explained below.

Generally, An inequality is a relation that makes a non-equal comparison between two integers or other mathematical expressions.

This comparison may be made using two digits or other mathematical expressions.

The most common use of this concept is to contrast the relative sizes of two integers using a number line.

In conclusion, The number -7 is on the left, while the number -4 is on the right.

depicts -7<4

The number −4 is located at the Righthand side  of -7 and the lefthand side of -1

Read more about inequality

https://brainly.com/question/20383699

#SPJ1

Answer:

9.

p ≤ -3

The graph is a closed dot (filled in dot) on -3, and an thick line with an arrowhead pointing to the left coming out of the -3.

Step-by-step explanation:

8.

Your answer to 8. is correct, but you need to be careful solving it.

6x = -48

You have 6x on the left side. You want x alone. You need to divide both sides by 6, not by 6x.

\( \dfrac{6x}{6} = \dfrac{-48}{6} \)

x = -8

9.

-2 ≥ 4p + 6 + 4

Add like terms on the right side.

-2 ≥ 4p + 10

You want variables on the left side and numbers on the right side.

Subtract 4p from both sides.

-2 - 4p ≥ 4p - 4p + 10

-2 - 4p ≥ 10

Add 2 to both sides.

-2 + 2 - 4p ≥ 10 + 2

-4p ≥ 12

Now we need to divide both sides by -4. In an inequality, when you multiply both sides or divide both sides by a negative number, the inequality sign changes direction.

\( \dfrac{-4p}{-4} \le \dfrac{12}{-4} \)

p ≤ -3

The graph is a closed dot (filled in dot) on -3, and an thick line with an arrowhead pointing to the left coming out of the -3.

Answer:

A), C), E)

Step-by-step explanation:

The probability that at least one of the randomly selected 5 people has been vaccinated is 0.9502.

The probability of at least one vaccinated person from a population where 51% of people are vaccinated and 5 people are chosen randomly is calculated as follows:Since the probability of a person who has been vaccinated is 51%, and the probability of a person who has not been vaccinated is 49%, the probability of at least one person being vaccinated from 5 people who are selected randomly is given by the formula:P(at least one vaccinated person) = 1 - P(no vaccinated person)The probability of no vaccinated person is calculated as follows: P(no vaccinated person) = 0.49 × 0.49 × 0.49 × 0.49 × 0.49 = 0.0498

The probability of at least one vaccinated person is calculated as follows:P(at least one vaccinated person) = 1 - P(no vaccinated person)P(at least one vaccinated person) = 1 - 0.0498P(at least one vaccinated person) = 0.9502Therefore, the probability that at least one of the randomly selected 5 people has been vaccinated is 0.9502.

To know more about probability:

https://brainly.com/question/32117953

#SPJ11

By evaluating the function in x = -4, we will get:

f(-4) = 12

Here we have the following function:

f(x) = -4 + 4*|x|

So we have an absolute value function.

We want to find f(-4), so we want to evaluate the function in x = -4, to do that, just replace the variable by that number.

We will get:

f(-4) = -4 + 4*|-4|

Remember that the absolute value of a negative number gives the opposite:

|-4| = 4

Then:

f(-4) = -4 + 4*|-4|

f(-4) = -4 + 4*4

f(-4) = -4 + 16 = 12

f(-4) = 12

Learn more about evaluating functions:

https://brainly.com/question/1719822

#SPJ1

The price of the TV, including tax, is $161.17 rounded to the nearest cent. To find the price of the TV including tax, we need to calculate the sale price of the TV after the 15% discount, add the sales tax, and then round to the nearest cent.

Here are the steps:

Calculate the sale price after the 15% discount:

Sale price = Original price - Discount amount

Sale price = $177.21 - (15% * $177.21)

Sale price = $150.63

Calculate the sales tax on the sale price:

Sales tax = 7% * $150.63

Sales tax = $10.54

Add the sales tax to the sale price:

Price including tax = Sale price + Sales tax

Price including tax = $150.63 + $10.54

Price including tax = $161.17

Therefore, the price of the TV, including tax, is $161.17 rounded to the nearest cent.

Learn more about calculating sales tax here: brainly.com/question/29442509

#SPJ4

The graph of the equation x = -4 is shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.

In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" is equal to zero (0).

By critically observing the graph (see attachment), we can reasonably infer and logically deduce that the x-intercept is equal to -4.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Answer:

4

Step-by-step explanation:

to evaluate (f ○ g)(3) , evaluate g(3) then substitute the value obtained into f(x) , that is

g(3) = 3 - 5 = - 2 , then

f(- 2) = (- 2)² = 4

The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.

Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.

To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.

Your answer: a. 1%

Learn more about Quarter:

brainly.com/question/391885

#SPJ11

Mean Squared Error (MSE) is a statistical measure that is used to evaluate the performance of a predictive model. It is a commonly used evaluation metric in regression problems where the goal is to predict a continuous target variable.

The mean squared error measures the average of the squares of the differences between the predicted values and the actual values. The difference between the predicted value and the actual value is called the residual. The squared residuals are used to give more weight to larger differences between the predicted and actual values.

The mean squared error is calculated as the average of the squared residuals. It is defined as the ratio of the sum of the squared residuals to the number of observations. The formula for mean squared error is:

MSE = (1/n) * Σ (predicted value - actual value)^2

where n is the number of observations and Σ is the sum symbol.

The lower the mean squared error, the better the predictive model is. A low mean squared error indicates that the predicted values are close to the actual values, and the model is a good fit for the data. On the other hand, a high mean squared error indicates that the predicted values are far from the actual values, and the model is a poor fit for the data.

To learn more about mean squared error, visit:

https://brainly.com/question/29662026#

#SPJ11

Answer:

4

Step-by-step explanation:

all the details can be found in the attachment.

The range of speeds at which a car can safely make the curve is approximately 70 km/h to 130 km/h.


When a car moves along a banked curve, the friction force plays a crucial role in preventing the car from slipping. To determine the safe range of speeds, we consider two scenarios: when the car goes too slow and when it goes too fast.
1. When the car goes too slow: If the car moves slower than the required speed, the friction force points uphill, away from the center of the curve. In this case, the static friction force needs to provide the centripetal force. Using the equation F_friction = μ_s * N, where μ_s is the coefficient of static friction and N is the normal force, we can find the minimum speed at which the friction force can supply the required centripetal force.

2. When the car goes too fast: If the car moves faster than the required speed, the friction force points downhill, toward the center of the curve. The static friction force is not needed for the centripetal force in this case. Instead, the vertical component of the normal force provides the necessary centripetal force. Again, we can use the equation F_friction = μ_s * N to find the maximum speed at which the friction force is still within the limit.
Considering these scenarios, with a coefficient of static friction of 0.40, we find that the safe range of speeds for the car to make the curve is approximately 70 km/h to 130 km/h, rounded to two significant figures.

Learn more about Speed here: brainly.com/question/32673092
#SPJ11

only two day are left as u can see the graph from 40 percent to to percent

if X is a uniformly distributed continuous random variable from 0 to 1. Let Y=-In(1-X), the probability that Y is less than 3 is 0.9502. This falls within the specified margin of error of +/- 0.01,

To find the probability that Y is less than 3, we first need to determine the cumulative distribution function (CDF) of variable Y. Let's begin by finding the distribution of Y.

Y = -ln(1 - X)

Taking the derivative of Y with respect to X, we get:

dY/dX = -1 / (1 - X)

Now, we can use the probability density function (PDF) of X to find the PDF of Y:

f_Y(y) = f_X(g^-1(y)) * |(dg^-1(y) / dy)|

where g(x) = -ln(1-x), g^-1(y) = 1 - e^-y, and |(dg^-1(y) / dy)| = e^-y.

Since X is uniformly distributed from 0 to 1, its PDF is f_X(x) = 1 for 0 <= x <= 1.

Thus, we have:

f_Y(y) = 1 * e^-y = e^-y

for y > 0.

Now, let's find the CDF of Y:

F_Y(y) = P(Y <= y)

      = P(-ln(1-X) <= y)

      = P(1-X >= e^-y)

      = P(X <= 1-e^-y)

Since X is uniformly distributed from 0 to 1, its CDF is:

F_X(x) = x for 0 <= x <= 1

Therefore, we have:

F_Y(y) = F_X(1-e^-y) = 1 - e^-y

for y > 0.

Now, we can find the probability that Y is less than 3:

P(Y < 3) = F_Y(3)

        = 1 - e^-3

        = 0.9502 (rounded to four decimal places)

Therefore, the probability that Y is less than 3 is 0.9502. This falls within the specified margin of error of +/- 0.01, so we can be confident in our result.

In summary, we first found the distribution of Y by taking the derivative of Y with respect to X and using the PDF of X. We then found the CDF of Y by using the CDF of X and the inverse function of Y. Finally, we used the CDF of Y to find the probability that Y is less than 3, which was within the specified margin of error.

More about probability: https://brainly.com/question/13604758

#SPJ11

(See attached file for the plot!)

Description:

Point Z is located in Quadrant III of the coordinate plane

It is 4 units to the left

It is 5 units down

Is this satisfactory enough? Let me know if it helped!

When we fill in the blanks, we can say that at the movie premiere, adults moviegoers liked the movie less. That is because 25% disliked the movie, whereas only 13% of the teenagers moviegoers disliked the movie.

Out of the 20 adults, all but 5 said they liked the movie. This means that 5 out of 20 adults disliked the movie. To calculate the percentage of adults who disliked the movie, we divide the number of adults who disliked it by the total number of adults and multiply by 100: (5 / 20) × 100 = 25%.

Similarly, out of the 100 teenagers, all but 13 said they liked the movie. This means that 13 out of 100 teenagers disliked the movie. To calculate the percentage of teenagers who disliked the movie, we divide the number of teenagers who disliked it by the total number of teenagers and multiply by 100: (13 / 100) × 100 = 13%.

Comparing the percentages, we can conclude that at the movie premiere, a higher percentage of adults (25%) disliked the movie compared to teenagers (13%).

Learn more about percentage here:

https://brainly.com/question/16797504

#SPJ11

The number of 1/8s which are in 25 as required to be determined is; 200.

It follows from the task content that the number of 1/8s in 25 as required in the task content is to be determined.

It follows from arithmetic principles that the number of 1/8s in 25 can be determined by evaluating; 25 ÷ 1/8

= (25 × 8) / 1

= 200.

Therefore, the number of 1/8s in 25 is; 200.

Also, if the number of 1/8s in 25 is to be determined; the multiplication equation to check the answer is; 1/8 × 200 = 25....which holds true.

Read more on division of fractions;

https://brainly.com/question/24247039

#SPJ1

The equation for the object's decreasing speed is \(y = 58/e^{(ln(58/11)*t/3)}\), derived from the given conditions of its velocity at different time points.

Given: An object is slowing down such that its speed is decreasing exponentially. After 2 seconds it is traveling at 58 feet per second and after 5 seconds it is traveling at only 11 feet per second.

The rate at which the object is slowing down is given by the function v = V0e-kt where V0 is the initial velocity, k is the constant of proportionality and t is time.

From the given conditions: At t = 2, v = 58 feet per second, we get 58 = V0e-2kAt t = 5, v = 11 feet per second, we get 11 = V0e-5k. Dividing these equations, we get: 58/11 = e3k => k = ln(58/11)/3. Substituting the value of k in the first equation, we get: \(58 = V0e-(ln(58/11)/3)*2 => V0 = 58/e^{(2*ln(58/11)}/3)\)

Therefore, the equation in the form of y is:y = 58/e^(ln(58/11)*t/3)The given problem is about determining the equation of an object that is slowing down exponentially.

The equation of the object can be determined using the given conditions. Therefore, the equation in the form of y is \(y = 58/e^{(ln(58/11}*t/3)}.\)

For more questions on equation

https://brainly.com/question/29174899

#SPJ8

The event the student could run a mile in less than 8.27 minutes in terms of the value of the random variable y. The Probability of Y< 6 of 6.68%.

Random Variable:

A random variable is a variable whose value is unknown or a function that assigns a value to each outcome of an experiment. Random variables are often denoted by letters and can be classified as either discrete (variables that have a specific value) or continuous (variables that can take any value in a continuous range).

In probability theory and statistics, random variables can have many values ​​because they are used to quantify the outcome of random events. Random variables must be measurable and are usually real numbers. For example, the letter X can represent the sum of the numbers after rolling three dice. In this case, X can be 3(1 + 1 + 1), 18(6 + 6 + 6), or between 3 and 18. This is because the highest number on the dice is 6 and the lowest number is 1.

Given information.  

We have mean 7.11 minutes and standard deviation 0.74 minute.

We have to find the value of z.

Now,

    z = (x - μ/ σ)z

      = (6 - 7.11/ 0.74) z

      ≈ -1.50

Now,

The probability of Y < 6

P(Y< 6) = P(Z < -1.50)

            = 0.0668

            = 6.68%

Complete Question:

Running a mile A study of 12000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. 7 Choose a student at random from this group and call his time for the mile Y. Find P(Y < 6) . Interpret this value.

Learn more about Random Variable:

https://brainly.com/question/29077286

#SPJ4

Answer:

c. non-linear and increasing

Step-by-step explanation:

Degree and leading coefficient of the given polynomial The given polynomial is 5x⁶-3x⁴+x³-9x²+1.The degree of a polynomial is defined as the highest exponent of the variable.

Here, the highest exponent of x is 6. Hence, the degree of the given polynomial is 6.The leading coefficient is the coefficient of the term with the highest exponent. Here, the term with the highest exponent is 5x⁶. Hence, the leading coefficient of the given polynomial is 5.Hence, the degree of the given polynomial is 6 and the leading coefficient is 5.

To know more polynomial visit:

https://brainly.com/question/11536910?referrer=searchResults

#SPJ11

Answer:

D) X=-6

Step-by-step explanation:

Answer:

22 feet

Step-by-step explanation:

The comparison Juan could have made is; A: The value of the hundredths digit is one over ten the value of the tenths digit.

We are considering the decimal number 644.66.

Now, let us interpret the decimal number fully to get;

600 + 44 + 4 + 0.6 + 0.06

Now, we can see that the hundredths digit is one over ten the value of the tenths digit because 0.6 * 1/10 = 0.006.

The other options B, C and D are not correct because when we look at them critically with respect to the position of the numbers in the given decimal, it means that they are not correct comparisons.

Thus, we conclude that the comparison Juan could have made is; A: The value of the hundredths digit is one over ten the value of the tenths digit.

Read more about Decimal Numbers at; https://brainly.com/question/1827193

#SPJ1