When 500 pesos is compounded monthly at 4% interest rate fo 3 years, what is the frequency of conversion?

The quadratic equation is = f(t) = -2t² + 5t

What is Quadratic Equation?

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Step 1: Determine the x-intercepts at (0,0) and (5,0)

The answer to the given question's quadratic function equation is,

y = a (x-h)² +k

Step 1- Identify x-intercepts at (0,0) and (5,0)

The intercepts of y are (0,0) and (5,0)

Step 2- The equation of the quadratic function

f (t) = at (t-5)

Step 3- Find the value of a for the given function

12 = a(3) (3-5)

12 = 3a * (-2)

a = 12/-6

Step 4-Function of the equation

When we use the value of an in a function, we obtain

f(t) = -2t (t -5)

f(t) = -2t²+5t

The aforementioned equation is therefore necessary for the given scenario.

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Answer:

-2 and 5

Step-by-step explanation:

Silvio wants to find the perimeter of quadrilateral abcd. he begins by computing the length of side ab using the distance formula. finish silvio’s work to find the length of side ab. The perimeter of quadrilateral abcd is 20 units.

The total length of a shape's boundary is referred to in geometry as the perimeter of the shape. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the number of sides times the length of a side.

We use the general method to get the perimeter of an irregular shape since the sides of an irregular polygon might not all be the same length.

Therefore, the irregular polygon's perimeter equals the total of its sides.

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Answer:

-1 and 4

Step-by-step explanation:

first you bring the terms on the right side to the left and you get:

-x^2 + 3x + 4 = 0

then you divide both sides of the quadratic by -1:

x^2 - 3x - 4 = 0

then you factor the equation:

(x + 1)(x - 4) = 0

for any product to be zero, one of the factors must be zero. hence, either x + 1 or x - 4 can be zero. so x can be -1 and//or 4.

have a great day <3

Answer:

16/9, 4/3, 1, 3/4, and 9/16

Step-by-step explanation:

1.) Plug these x values into the equation. You will get: 16/9, 4/3, 1, 3/4, and 9/16.

Answer:

16/9, 4/3, 1, 3/4, and 9/16

Step-by-step explanation:

1.) Plug these x values into the equation. You will get: 16/9, 4/3, 1, 3/4, and 9/16.

Answer:

The distance traveled between 10 minutes and 15 minutes is increasing.

Step-by-step explanation:

Jacob is going on a road trip across the country. He covers 10 miles in 15 minutes.Therefore, between the 10 minutes and 15 minutes, Jacob was in motion and if he covers 10 miles in 15 minutes with a constant speed, then Jacob will cover \frac{10}{15} \times (15 - 10) =  3.33 miles in that period.So, the distance traveled between 10 minutes and 15 minutes is increasing.

Answer:

D on edmentum

Step-by-step explanation:

It will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

First, we need to convert the dimensions of the tank from inches to feet:

68 inches diameter = 68/12 feet = 5.67 feet diameter

24 feet long = 24 feet long

Next, we can calculate the volume of the tank in cubic feet:

Since 1 cubic foot of water weighs 62.4 pounds, we can calculate the weight of the water in the tank in pounds:

To find out how long it will take to fill the tank, we can use the flow rate of the fire hydrant:

Finally, we can divide the volume of the tank by the flow rate to find out how long it will take to fill the tank:

Therefore, it will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

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Assessing the fit of a linear model involves analyzing scatterplots and regression statistics. A good fit is indicated by a clear linear pattern in the scatterplots and a high R-squared value with significant coefficients in the regression analysis.

The goodness of fit of a linear model to the data can be assessed by examining the scatterplots and the statistics provided by the regression calculator. If the scatterplots show a clear linear pattern with minimal deviations or outliers, and the regression calculator reports a high coefficient of determination (R-squared) value close to 1 and statistically significant regression coefficients (low p-values), it suggests that the linear model fits the data well.

However, if the scatterplots display a nonlinear pattern or significant deviations from a straight line, or if the R-squared value is low and the regression coefficients are not statistically significant, a linear model may not adequately capture the relationships in the data.

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In order to find the first four terms, we just need to apply the values of n in the equation and then calculate the value of an:

Answer:

The unit rate is 1.15

Step-by-step explanation:

Answer:

The unit Rate is 1.15

Step-by-step explanation:

Answer:

1. 0.003

2. 0.5

3. 0.001343

4.0.05003

5. 0.670570

6. 1.01

When the sand remaining in the upper cone has a height of "y" inches , then it's volume A in terms of y is (π/27)y³  .

The radius of both the cones of the hourglass is = 1 inch ,

The height of both hourglass is = 3 inches ,

We have to find the volume of the remaining sand in the upper hourglass,

The height of the remaining sand is = y inches ,

If the height is y inches , then the radius of the remaining will be r = y/3 inches ,

We know that , Volume of cone is = (1/3)×π×r²×h ,

Substituting the value of h = y and r = y/3 ,

We get ,

⇒ Volume(A) = (1/3)×π×(y/3)²×y ,

⇒ Volume(A) = (π/27)y³

Therefore , the remaining Volume A = (π/27)y³ .

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The given question is incomplete , the complete question is

An hourglass is made up of two glass cones connected at their tips. Both cones have a radius of 1 inch and a height of 3 inches. When the hourglass is flipped over, sand starts falling to the lower cone.

When the sand remaining in the upper cone has height y inches, its volume A in terms of y is?

Answer:1.24

2.7 27/56

3.3/4

4.1 2/3

Step-by-step explanation:

Answer:

How could he have used 9 lbs of lemons when he only went and bought 2 1/4 lbs? So, his work was NOT correct.

Step-by-step explanation:

Answer:

it is d

Step-by-step explanation:

got it right

Answer:

8.24243226

Step-by-step explanation:

Same as the previous one I answered.

Tan = Opposite/ Adjacent

Adjacent = Opposite / Tan(20)

A parabola is a U-shaped curve that can open upwards or downwards. Its equation is typically in the form y = ax^2 + bx + c, where a, b, and c are constants. The properties of a parabola are determined by these constants.

Description about vertex,max/min,axis of

Description about vertex,max/min,axis ofsymmetry,zero(s),direction of opening,y-intercept of parabola:

Vertex: The vertex is the point where the parabola changes direction. It is the highest or lowest point on the curve, depending on whether the parabola opens upwards or downwards. The vertex is located at the point (-b/2a, f(-b/2a)), where f(x) is the

function that defines the parabola.

Max/min: The maximum or minimum value of the parabola is the y-coordinate of the vertex. If the parabola opens downwards, the maximum value occurs at the vertex. If the parabola opens upwards, the minimum value occurs at the vertex.

Axis of Symmetry: The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two mirror-image halves. The equation of the axis of symmetry is x = -b/2a.

Zero(s): The zero(s) of the parabola are the x-values where the parabola intersects the x-axis. These are also called roots or solutions of the quadratic equation. If the discriminant (b² - 4ac) is positive, the parabola intersects the x-axis at two points. If the discriminant is zero, the parabola intersects the x-axis at one point (which is also the vertex). If the discriminant is negative, the parabola does not intersect the x-axis and has no real roots.

Direction of Opening: The direction of opening of the parabola is determined by the sign of the coefficient a. If a is positive, the parabola opens upwards, and if a is negative, the parabola opens downwards.

y-intercept: The y-intercept is the point where the parabola intersects the y-axis. It is located at the point (0, c), where c is the constant term in the quadratic equation.

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Correct question is "For each parabolas, describe the following properties:

Vertex

Max/min

Axis of

Symmetry

Zero(s)

Direction of

Opening

y-intercept."

The slope of the regression line of hours on income is approximately 0.3326.

To find the slope of the regression line of hours on income, we need to use the formula:

slope = r * (Sy / Sx)

where r is the correlation coefficient, Sy is the standard deviation of Y (hours spent on internet), and Sx is the standard deviation of X (monthly income).

From the given statistics, we have:

n = 8 (sample size)
ΣX = 2592 (sum of monthly incomes)
ΣY = 3144 (sum of hours spent on internet)
ΣXY = 14175.5 (sum of the product of X and Y)
ΣX^2 = 1828928 (sum of the squares of X)
ΣY^2 = 449328 (sum of the squares of Y)

Using these values, we can calculate the correlation coefficient:

r = [nΣXY - (ΣX)(ΣY)] / [sqrt(nΣX^2 - (ΣX)^2) * sqrt(nΣY^2 - (ΣY)^2)]
 = [8(14175.5) - (2592)(3144)] / [sqrt(8(1828928) - (2592)^2) * sqrt(8(449328) - (3144)^2)]
 = 0.9361 (rounded to four decimal places)

Next, we need to calculate the standard deviations of X and Y:

Sx = sqrt[ΣX^2/n - (ΣX/n)^2] = sqrt[(1828928/8) - (2592/8)^2] = 1289.54
Sy = sqrt[ΣY^2/n - (ΣY/n)^2] = sqrt[(449328/8) - (3144/8)^2] = 460.57

Finally, we can plug in the values to find the slope:

slope = r * (Sy / Sx) = 0.9361 * (460.57 / 1289.54) = 0.3326

Therefore, the slope is approximately 0.3326.

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Answer:

6x + 24

Step-by-step explanation:

Distributive property: a (b + c) = ab + ac.

6 (x + 4) = 6x + 6(4) = 6x + 24.

Answer:

43.92 cm²

Step-by-step explanation:

V = (1/3)Bh

where B = area of the base

86.376 cm³ = (1/3)B(5.9 cm)

B = 43.92 cm²

Answer:

Down

Step-by-step explanation:

The negative before the x^2 makes it Down.

a) Since Todd and Amani started with the same initial deposit, they will never have the same amount in their accounts if they keep to their weekly savings plans because Todd's weekly savings are two times that of Amani.

b) An equation to represent the total amount in each of their accounts at any given time or weeks is as follows:

An equation is a statement of equality or equivalence of two or more mathematical expressions.

Mathematical expressions combine values, variables, and numbers or constants without the equation symbol (=), which differentiates them from equations.

                                        Todd     Amani

Initial deposit in account  $10       $10

Weekly deposits               $4         $2

Let the number of weeks of deposits = w

Let the total deposit in Todd's account in w weeks = t

t = 10 + 4w

Let the total deposit in Amani's account in w weeks = a

a = 10 + 2w

For Todd's and Amani's account to be equal, 10 + 4w = 10 + 2w

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(a) The vector that starts at the origin, moves 2 units to the left, and 2 units down and then the vector that starts at the origin, moves 6 units to the left, and 8 units up.

(b) A vector pointing in the same direction as →v, but with a magnitude of 1. This is known as a unit vector.

Given the vector →v = ⟨-4,3⟩, we can sketch it on a coordinate plane by starting at the origin (0,0) and moving -4 units to the left (since the x-component is negative) and 3 units up (since the y-component is positive). This gives us a vector pointing in the direction of the upper left quadrant.

To sketch -3→v, we can simply multiply each component of →v by -3, resulting in the vector ⟨12,-9⟩. This vector will point in the same direction as →v but will be three times as long.

To sketch 1/2→v, we can multiply each component of →v by 1/2, resulting in the vector ⟨-2,3/2⟩. This vector will be half the length of →v and will point in the same direction.

To sketch the vectors →w, →v-→w, and 2→v+→w, we need to be given →w. Without this information, we cannot sketch these vectors. However, we can discuss how to manipulate vectors algebraically.

To add two vectors, we simply add their corresponding components.

→v+→w = ⟨-4,3⟩+⟨2,-5⟩ = ⟨-2,-2⟩.

This gives us the vector that starts at the origin, moves 2 units to the left, and 2 units down.

To subtract two vectors, we subtract their corresponding components.  →v-→w = ⟨-4,3⟩-⟨2,-5⟩ = ⟨-6,8⟩.

This gives us the vector that starts at the origin, moves 6 units to the left, and 8 units up.

To find a unit vector in the direction of →v, we first need to find the magnitude of →v, which is given by the formula

=> ||→v|| = √((-4)²+(3)²) = √(16+9) = √25 = 5

Then, we can find the unit vector by dividing each component of →v by its magnitude: →u = →v/||→v|| = ⟨-4/5,3/5⟩.

This gives us a vector pointing in the same direction as →v, but with a magnitude of 1. This is known as a unit vector.

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Answer:

24 million

Step-by-step explanation:

thank me later

The interest rate that achieves the given information is approximately 5.86.

To determine the interest rate, we can use the compound interest formula: A = \(P(1 + r/n)^(nt)\), where A is the total amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Given that Ali invested $2,209 and received $3,073 at the end of 6 years, we can set up the equation: 3,073 = 2,209\((1 + r/n)^(6n)\).

To solve for the interest rate, we need to use an approximation method. Let's try different interest rates until we find the one that yields a total amount close to $3,073. By trial and error, we find that an interest rate of approximately 0.0586 or 5.86% achieves the desired result.

Hence, the interest rate that achieves the given information is approximately 5.86%.

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The parametric function for your location on the Ferris wheel at any given time:
x(t) = 80 * sin(2π * (t/2))
y(t) = 80 * cos(2π * (t/2)) + 3

To create a parametric function that models your location on the Ferris wheel at a given time, we need to come up with equations that describe your horizontal and vertical positions as functions of time.

Let's start with the horizontal position. Since the Ferris wheel rotates counter-clockwise, we know that your position on the wheel will increase as time goes on. We can express this as:

x(t) = 80cos(2πt/120)

Here, t represents time in seconds, and the factor of 2π/120 ensures that the function completes one full cycle (i.e. one trip around the wheel) in 120 seconds, or 2 minutes. The cosine function gives us a smooth, periodic curve that oscillates between -80 and 80, corresponding to your position on either side of the wheel's center.

Next, let's consider your vertical position. We know that you start at a height of 3 feet above the ground, and as the wheel rotates, your height will vary sinusoidally over time. We can express this as:

y(t) = 80sin(2πt/120) + 3

Here, the sine function gives us a smooth, periodic curve that oscillates between 77 and 83 feet (i.e. the radius of the wheel plus or minus 3 feet).

So, putting it all together, our parametric function for your location on the Ferris wheel at a given time t is:

(r(t), θ(t)) = (80cos(2πt/120), 80sin(2πt/120) + 3)

Here, r(t) and θ(t) represent your radial distance from the center of the wheel and the angle you've rotated from the starting position, respectively. This parametric function describes a smooth, periodic curve that traces out your path on the Ferris wheel as it rotates counter-clockwise.

Given the information, we know the Ferris wheel has a radius of 80 feet, the bottom is 3 feet above the ground, it rotates counter-clockwise, and has a period of 2 minutes.

To create a parametric function, we need two equations, one for the x-coordinate (horizontal) and one for the y-coordinate (vertical). Let's denote the time variable as t, measured in minutes.

1. X-coordinate (horizontal position):
Since the Ferris wheel rotates counter-clockwise, we can use the following equation for the x-coordinate:
x(t) = 80 * sin(2π * (t/2))

2. Y-coordinate (vertical position):
To account for the bottom of the Ferris wheel being 3 feet above the ground, we need to add 3 to the vertical equation:
y(t) = 80 * cos(2π * (t/2)) + 3

Now, we have the parametric function for your location on the Ferris wheel at any given time:
x(t) = 80 * sin(2π * (t/2))
y(t) = 80 * cos(2π * (t/2)) + 3

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Answer:

x-12

Step-by-step explanation:

Apex

Answer:

D

Step-by-step explanation:

2 |  1   5   - 14

          2     14

  -----------------------

     1    7      0 ← remainder = 0

     Quotient is 1x + 7 = x + 7 → D

9514 1404 393

Answer:

  3

Step-by-step explanation:

Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).

The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

----------------------------

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

-----------------------------

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³