Maggie owes $500 and will make 4 payments. The first payment is 10% of the original amount, the second payment is 15% of the original amount, the third payment is 30% of the original amount, and the last payment is for the remaining amount owed. What is the amount for the last payment?

The terminal point is (0.5, 0.866), and the value of the tangent is 0.173.

For any angle a, the coordinates of the terminal point are given by:

x = cos(a)

y = sin(a).

In this case, the angle is a = pi/3

Then the coordinates of the terminal point are:

x = cos(pi/3) = 0.5

y = sin(pi/3) = 0.866

So the terminal point is ( 0.5, 0.866)

And the tangent of that angle is equal to the quotient between the y-component and the x-component:

tan(pi/3) = 0.866/0.5 = 0.173

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Answer:

Terminal point: (1/2,sqrt3/2); tan 0 = sqrt3

Step-by-step explanation:

I am sorry if this is not right but I am pretty sure it is!

(Edit: It was right on the program!)

Answer:

Step-by-step explanation:

We have

\(f(x) = 6x + 5\)

\(g(x) = 3x\)

To find the value of either of these functions for a specific value of x, simply substitute that value into the corresponding function equation.

\(\bold{f(2)}\)
Substitute x with 2 in 6x + 5
==> \(6\cdot \:2+5=17\)   (Answer)

\(\bold{g(4)}\)
Substitute x with 4 in g(x) = 3x
==> \(3 \cdot4=12\)  (Answer)

\(\bold{f(-2)}\)
Substitute x with -2 in 6x + 5
\(6\left(-2\right)+5=-7\)  (Answer)

\(\bold{g(0)}\)
Substitute x with 0 in g(x) = 3x
==> \(3\cdot0=0\)  (Answer)

\(\bold{f(\frac{1}{2})}\)
Substitute x with \(\frac{1}{2}\) in 6x + 5
==>  \(6\cdot \frac{1}{2}+5 = 3 + 5 = 8\)   (Answer)

\(\bold{g(-4)}\)
Substitute x with -4 in g(x) = 3x
==> \(3\left(-4\right) = -12\)  (Answer)

Answer:

C

Step-by-step explanation:

Area is W×L. The area of the rectangle is 6x^(2) + 7x - 3.

So we write that as 6x^(2) + 7x - 3 = W×L

We can factor 6x^(2) + 7x - 3 to see the width and length.

Then, you get (2x + 3) (3x - 1) = W × L

Now you have to values for width and length

The formula for perimeter is 2W + 2L, you can choose which is width and which is length

Next, substitute the values in the formula: 2(2x + 3) + 2(3x - 1) and solve it. Done! :)

Answer:

8/15

Step-by-step explanation:

hope this helps!!! :D

Answer: 8/15

Step-by-step explanation: Tangent is opposite/adjacent

The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.

For the future, remember these:

Sin = opposite/hypotenuse

Cos = adjacent/hypotenuse

Tan = opposite/adjacent

Therefore, tan is 8/15.

Hope this helps.

Answer:

Z

Step-by-step explanation:

The height needs to start at 96

Answer:

its F for the inequality to be true

Therefore, for spheres of different sizes, we need to use different measuring units, unlike prisms and pyramids, where a unit cube can be used as a standard unit for all shapes with the same base and height.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is the measure of the total amount of space that an object takes up. The standard unit of volume is the cubic meter (m³) in the International System of Units (SI), but other units such as cubic centimeters (cm³) and cubic inches (in³) are also commonly used. The volume of an object can be calculated using different formulas depending on its shape and dimensions.

Here,

A unit sphere is not a good unit of volume measurement for all spheres because spheres come in various sizes and diameters. The unit sphere has a radius of 1, and while it can be used to measure the volume of spheres with radii equal to 1, it cannot be used to measure the volume of spheres with different radii.

For example, if we want to find the volume of a sphere with a radius of 2, we cannot use the unit sphere as a measuring unit. Instead, we would need to use a larger sphere with a radius of 2 as our measuring unit.

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The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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Answer:

d

Step-by-step explanation:

I did the test. .........................

Answer:

D

Step-by-step explanation:

I did the test :)

We will use the leg rule

hypotenuse leg

----------------- = --------------------

leg part

y 9+11

------- = -----

11 y

Using cross products

y^2 = 11(20)

y^2 =220

Taking the square root

y = 2 sqrt(55)

Now we can find z using the Pythagorean theorem

11^2 + z^2 = y^2

121 + z^2 = 220

z^2 =99

z = 3 sqrt(11)

The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Pr(C & fewer than 3) = 0.1985

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Here, we are required to find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.

Let Pr(C) be the number of consumers who believe that cash will be obsolete in the next 20 years.

Therefore, since 39.7% believe so,

Pr(C) = 39.7/100 = 0.397

If 6 consumers are selected randomly, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years will be;

Probability of 2 out 6 to believe so or Probability of 1 out of 6 to believe so.

Pr(2/6) + Pr (1/6)

Therefore the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is;

Pr (fewer than 3) = (2/6) + (1/6)

Pr (fewer than 3) = 3/6

Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Pr(C) × Pr (fewer than 3)

i.e 0.397 × (3/6) = 0.1985

Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Pr(C & fewer than 3) = 0.1985

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The coordinates of the points N and L are N = (-2d, 0) and L = (-4f, g)

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

M = (-2d - 4f, g)

O = (0, 0)

ON = 2d

Given that

ON = 2d

Then it means that

N = (-2d, 0)

For the point L, we have

LO = MN

Where

LO = √[(x - 0)² + (y - 0)²] i.e. the distance formula

LO = √[x² + y²]

Next, we have

MN = √[(-2d - 4f + 2d)² + (g - 0)²] i.e. the distance formula

MN = √[(-4f)² + g²]

So, we have

LO = MN

√[x² + y²] = √[(-4f)² + g²]

By comparison, we have

x = -4f and y = g

This means that the coordinates of point L = (-4f, g)

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Grouping symbols exponents multiply and divide add and subtract represent the order of mathematical operations/calculations.

In mathematics, grouping symbols, exponents, multiplication and division, and addition and subtraction are the order of operations used to simplify mathematical expressions. The order of operations is a set of rules that dictate the order in which different operations are performed when evaluating an expression. The acronym PEMDAS is often used to help remember the order of operations:

P - Parentheses: Expressions inside parentheses should be evaluated first

E - Exponents: Exponents (such as "2^3" or "5^2") should be evaluated next

MD - Multiplication and Division: Multiplication and division should be done next, working from left to right

AS - Addition and Subtraction: Finally, addition and subtraction should be done, working from left to right.

It is important to follow the order of operations to ensure that mathematical expressions are evaluated correctly.

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Answer:

X = -12

Step-by-step explanation:

0.75x = -9

X = -9/0.75

x = -9/75/100

x = -900/75

x = -12

hope this helps you

mark above answer brainiliest

Answer:

I am almost positive it is 0

Answer:

10

Step-by-step explanation:

Mean = Sum of all data \(\div\) Number of data

Let x be the other number.

\(30 =\frac{12+50+48+x}{4}\)

Multiply both sides by 4:

\(\frac{4\left(12+50+48+x\right)}{4}=30* \:4\)

\(x+110=120\)

Subtract 110 from both sides:

\(x+110-110=120-110\)

\(x=10\)

Answer:

B:10

Step-by-step explanation:

Set up the equation

(12+50+48+x)/4=30

Add like terms

(110+x)/4=30

now multiply both sides by 4

(110+x)/4=30

4              4

110+x=120

Now subtract  110 from both sides

x=10

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Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

The value of side x in the triangle is 18.1.

In trigonometry, sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

To find the length of side x in the triangle, we use sine rule formula below.

Formula:

From the diagram in the question,

Given:

Substitute these values into equation 1

Make x the subject of the equation

Hence, the value of x is 18.1

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Answer:

x=18

Step-by-step explanation:

Answer:

x= 18

Step-by-step explanation:

To solve this equation you have to work backwards

Start by dealing with the numbers that we know:

450 + (28.75 × x) = 967.5

-450                          -450

28.75x = 967.5

(when a number and a letter in mathematics are next to each other they are multiplying)

Now divide to find the value of x:

967.5 ÷ 28.75 = 18

18 is the value of x

The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

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The area of the trapezoid JKML which is given above would be =88.2in³.

To calculate the area of the trapezoid given the formula for the area of trapezoid should be used which is given below;

Area of trapezoid = 1/2(a+b) ×h

Where;

a = 10.5 in

b = 6.3 in

height = 10.5 in

Therefore the area of the trapezoid;

= 1/2(10.5+6.3) ×10.5

= 1/2×16.8×10.5

= 8.4×10.5

= 88.2in³

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Based on the given information, if the F statistic obtained from the F test is larger than the critical value at the specified significance level, we would conclude that the null hypothesis is rejected. However, none of the listed options accurately describes the conclusion we can make from the given scenario.

Explanation:

In this case, when the F statistic is larger than the critical value at the specified significance level, it indicates that there is enough evidence to reject the null hypothesis that β3 = β4 = 0.

This means that at least one of the coefficients β3 and β4 is statistically significant and different from zero. Since none of the listed options state that at least one of the coefficients is statistically significant and different from zero, the correct conclusion would be that none of the listed options accurately describes the conclusion we can make from the given scenario.

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Answer:

n = -29

Step-by-step explanation:

6n = -174

n = - 29

Answer: 2/3 or 0.66666666666

Step-by-step explanation:

1/3 x 2 = 2/3 or 0.66666

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

Step-by-step explanation:

red

Answer:

I'm confused what you are asking... if you are looking for the answer to 10 + 10 it's 20 ♡♡