What is the equation through the points: (6, 5), (8, -2)


ASAP please

The Capital Bank's option with a monthly compounding has a  higher accrued value of $3,849.75

What is accrued value?

The accrued value in this case means accumulated amount after 5 years, in other words, the future value of the investment under each of the two options.

Daily compounding:

FV=PV*(1+r/365)^(365*N)

FV=future value=unknown]

PV=initial investment=$3,475

r=interest rate=1.90%

N=number of years=5

FV=$3,475*(1+1.90%/365)^(365*5)

FV=$3,475*(1+0.0000520547945205479)^1825

FV=$3,475*(1.0000520547945205479)^1825

FV=$3,821.31

Monthly compounding:

FV=PV*(1+r/12)^(12*N)

FV=future value=unknown]

PV=initial investment=$3,475

r=interest rate=2.05%

N=number of years=5

FV=$3,475*(1+2.05%/12)^(12*5)

FV=$3,849.75

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Complete question:

General. Gavin wants to put $3,475 into a savings account when his daughter is born. Examine the account options below to determine which will have a higher accrued value at the end of 5 years.

Community Bank  1.90%   Compounds daily

Capital Bank  2.05%    Compounds monthly

=[2\(x^{2}\)-y][3a-4b] This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

To factorize a number, use the factorization formula. Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number. The factorization approach simplifies any algebraic or quadratic equation by using the basic factorization formula, which represents the equations as the product of factors rather than expanding the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a factor.

6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

Rearrange the expression

6a\(x^{2}\) -8bx² -3ay +4by

2\(x^{2}\)[3a-4b] - y[3a-4b]

=[2\(x^{2}\)-y][3a-4b]

This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

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a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

V= 1268.2

Step-by-step explanation:

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

Answer: it will be  N113570 for two people

Step-by-step explanation: since the fare is N56,785

which will be equally for a person ,the fare for 2 people will be N56,785 multiplied by 2 to give the answer.

but to show more working u can sole by cross multiplying

1=N56,785

2=x

then u cross multiply giving

1x=56,785x2

1x=113570

x=\(\frac{113570}{1}\)

=N113750

HOPE THIS HELPS!!!!!!!!!!!!!!!!!

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

y geometric mean property,n² = 28 × 7 = 196n = 14.By pythagorean

Step-by-step explanation:

Answer:

P = 3AC + BC.

Step-by-step explanation:

.

Answer:

Undefined or y = 3

Step-by-step explanation:

I think it's Undefined. But if it asks for rise/run it is (0,3)

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.

A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.

To calculate the perimeter of this hexagon, we must first identify the length of each side.

All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.

The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get

5 + 4 + 4 + 5 + 3 + 3 = 24.

Thus, the perimeter of the hexagon is 24 inches.

Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.

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Answer:

8+12= 2x

multiply all of them by power of 2

Step-by-step explanation:

so,

64+144 = 4x

208=4x

x = 52 what is the root of 52 the answer is

x = 7.188 or 3/16

the percent increase in the price of a gallon of milk from 1985 to 2005 is 59%

Define percent increase

Percent increase can be described as the rise in the value of an item, in this case the value is milk.

Write out the parameters

In 1985 the price of a gallon of milk is $2.20

In 2005 the price is $3.50

Formula for percent increase

new price-old price/new price × 100

Calculate the percent increase

new price= $3.50

old price= $2.20

= 3.50-2.20/2.20

= 1.3/2.20

= 0.59 × 100

= 59%

Hence the percent increase from 1985 t0 2005 is 59%

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Answer:

Table B was created using the equation y = 4x-1.

Explanation:

The equation y = 4x-1 means that for any given value of x, the corresponding value of y can be found by multiplying x by 4 and then subtracting 1.

Table B shows input values of x and output values of y that are consistent with this equation. For example, when x = 3, y = 11 (4 * 3 - 1), and when x = 4, y = 15 (4 * 4 - 1), and so on.

Therefore, we can conclude that Table B was created using the equation y = 4x-1.

Answer:

I'm probably wrong 69??? Yea I'm definitely wrong

Answer:

Sorry I can't reflect it for you, but I can give you the points  ◕ ◡ ◕

original: (7, 2)

final: (-7, 2)

Answer: \(y= -\frac{3}{4}x +20\)

Step-by-step explanation:

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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Given:

Two tables are given.

Required:

(fog)(6)

Explanation:

Find the value of g(6) from the second table.

g(6) = 11

Find the value of f(11) from the first table.

f(11) = 22

Final Answer:

The number of students who participate in competition for each grade are 223 and 208 and their sum is 431.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

(a) The total number of students are 595.

Then, the number of students in seventh grade is 3/5 × 595 = 357

Now, the number of students participated in competition is given as,

5/8 × 357

⇒ 223.125

Since, the number of students cannot be a decimal, it is taken as 223.

(b) The number of students in eighth grade is 2/5 × 595 = 238

Now, the number of students participated in competition is given as,

7/8 × 238

⇒ 208.25

Since, the number of students cannot be a decimal, it is taken as 208.

(c) The total number of students participating in competition is given as,

⇒ 223 + 208 = 431

Hence, the required number of students for 7th and 8th grade and their sum are given as 223, 208 and 431 respectively.

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If x = -2 is a zero with a multiplicity of one, x = 3 is a zero with a multiplicity of two, and x = 1 is a zero with a multiplicity of one, then the polynomial can be written in factored form as:

\(f(x) = (x + 2)(x - 3)^2(x - 1)\)

To find the polynomial in expanded form, we can use the distributive property and the rules of exponents:

\(f(x) = (x + 2)(x - 3)(x - 3)(x - 1)\\= (x^2 - x - 6)(x - 3)(x - 1)\\= (x^3 - 4x^2 + 3x + 18)(x - 1)\\= x^4 - 5x^3 + 6x^2 + 4x + 18\)

Therefore, the polynomial that has a lead coefficient of one and exactly three distinct zeros, with x = -2 as a zero with multiplicity of one, x = 3 as a zero with multiplicity of two, and x = 1 as a zero with multiplicity of one, is:

\(f(x) = x^4 - 5x^3 + 6x^2 + 4x + 18\)

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Answer:

The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).

What is the quotient about?

Since the expression is √7x² ÷ √3x

So, one need to  rationalize the denominator and thus:

√7x² ÷ √3x  x √3x  ÷ √3x  

or write as √7x² x√3x ÷ √3x

or write as√(21x³)/3x

or write as √3*7*x³/3x

or write as √3*7*x/3

= √7x/√3

Therefore, The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).

Step-by-step explanation:

Answer:

It should be C

Step-by-step explanation:

Answer:

4 feet

Step-by-step explanation:

Let x be the height of the tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.

5/8*x=2 and 1/2

Let us convert our given mixed fraction into an improper fraction.

5/8*x=5/2

Let us multiply both sides of our equation by 8/5.

8/5*5/8*x=5/2*8/5

x=8/2

x=4

The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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Answer:

8 tables

Step-by-step explanation:

60 (guests) divided by 8 (seats per table) = 7.5, and we round it up to 8 because 7.5 tables... that's just crazy!

Answer:

8 tables

Step-by-step explanation:

60 divided by 8 is 7.5. You cannot have 'half of a table' so if you have 8 tables, there will be four seats left but all the people will have a seat.

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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