What is k equal to if StartFraction 7.6 over 2 EndFraction = StartFraction 9.5 over k EndFraction?
1.6
2.5
3.8
4.8

1. The loan balance after 2 years is $45,262.

2. The loan balance after 3 years is $42,678.

3. The loan balance after 1 year is $47,700.

The loan balance is the amount remaining from the principal amount after the deduction of repayment and the addition of interest for the period.

The loan balance can be computed manually as below:

Loan amount = $50,000

Interest rate = 6%

Annual repayments = $5,000

1st year:

Loan amount = $50,000

Repayment = ($5,000)

Interest = $2,700 ($50,000 - $5,000) x 6%

Loan balance = $47,700 ($50,000 - $5,000 + $2,700)

2nd year:

Loan balance = $47,700

Repayment = ($5,000)

Interest = $2,562 ($47,700 - $5,000) x 6%

Loan balance = $45,262 ($47,700 - $5,000 + $2,562)

3rd year:

Loan balance = $45,262

Repayment = ($5,000)

Interest = $2,416 ($45,262 - $5,000) x 6%

Loan balance = $42,678 ($45,262 - $5,000 + $2,416)

Thus, the loan balance after 3 years is $42,678.

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In the diagram, the area of the given shape is 102 cm²

From the question question, we are to determine the area of the given shape

The given shape is a kite

The area of a kite is given by the formula,

[tex]A =\frac{pq}{2}[/tex]

Where A is the area

p and q are the diagonals

In the given diagram,

p = 6cm + 6 cm = 12 cm

q = 3 cm + 14 cm = 17 cm

Thus,

Area of the kite = [tex]\frac{12 \times 17}{2}[/tex]

Area of the kite = 6 × 17

Area of the kite = 102 cm²

Hence, the area of the given shape is 102 cm²

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The smallest number of the data set is 18.

Range is used to measure the spread of  a dataset. Range is determined by subtracting the largest number from the smallest number.

Range = largest number - smallest number

Smallest number = largest number - range

50 - 32 = 18

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The interval notation that defines this set is: (-∞, -5]

And the graph can be seen below.

Here we want to graph the inequality:

x ≤ -5

This refers to all the values of x equal or smaller than -5.

To graph this, we need to graph a closed circle at -5, and we need to draw an arrow that points to the left (values smaller than -5). The graph is the one that you can see below.

The interval notation that defines this set is: (-∞, -5]

The first end is open, and the second is closed (because of the symbol ≤).

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Answer:

the answer is 16/20 feet oooooooooooo

The most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.

In mathematics, parenthesis is used to arrange numbers in the sequence of operations, clarify numbers, and denote multiplication.

Suppose you have an expression as:-

E = { ( 5-2 )8} 6

In this case, you would calculate 5 minus 2 first (parentheses), then multiply by 8 (brackets), then complete the part inside the curly braces, and finally multiply by 6.

Therefore the most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.

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The linear function that models the relationship is P = 28,200 + 1950t.

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2

The first step is to determine the rate of increase in the population:

Rate of increase = (population in 2012 - population in 2008) / number of years

(36.000 - 28,200) / 4 = 1950

P = 28,200 + 1950t

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The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

[tex]\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1[/tex]

[tex]\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16[/tex]

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:-                            Non-polynomial:-        

x³-7x²+9x-5x⁴-20                     x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1        

x⁵-5x⁴+4x³+2x-1                        [tex]\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1[/tex]

3x²-5x⁴+2x-12                           [tex]\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16[/tex]

Therefore the polynomials and non-polynomials are shown in the table above.

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Answer:

The answers are in the picture. Remember that first is x and then y when you see those coordinated again. (10,11) X=10 and Y=11.

Step-by-step explanation:

The equation of line is y = -3x + 8

Slope is the ratio of the change in the y coordinates to the change in the x coordinates.

Analysis:

slope (m) = y2 - y1 / x2 - x1

m = 14 -5 / -2-1  = 9/-3 = -3

when y = 5, x = 1

y = mx + c

5 = -3(1) + c

5 = -3 + c

c = 5+3 = 8

Y = -3x + 8

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Answer:

it is 3rd option C. -4, 5

Step-by-step explanation:

all the elements are associated with only one second element except -4

for -4 there are two second elements 3 and 5 from the ordered pairs (-4, 3) and (-4, 5)

so we can remove one of them to make R a function

since (-4, 3) is not in the options so the correct option is (-4, 5)

so c is the right one

Hope This Helped

As per defination of function

Every domain has an unique range

or

Here

One point need to be removed to get it function

Hence the point is (-4,5)

Answer:

1/3

Step-by-step explanation:

The total # of bars = 12. (4+5+3)

4 of those, are snickers

4/12 (Target / Total)

1/3 (simplified)

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

Answer:

1848 Cubic Meters

Step-by-step explanation:

The volume should be (7*24*22)/2

This is because this object is bascally half of a rectangular prism, so we need to divide the whole product by 2 at the end.

7*24*22 = 3696

3696/2 = 1848

Answer:

Step-by-step explanation:

just follow the formula in the picture

Area = b × h

Area = 15 × 8

Area = 120 in²

Answer:

215

Step-by-step explanation:

1/6 chance to roll a 6

1/6 * 1290

Step-by-step explanation:

Given =

AC = 6cm

BC = 9cm (hyp)

AB =

By pyth

A^2 = B^2 + C^2

9 = 6 + AB

AB = 9-6 = 3

AB =3

Hope this helps

Answer:

154 minutes to process and spell check 28 pages

Step-by-step explanation:

33 Minutes to process 6 pages

If we divide both of these numbers by 6 we will get the time taken to process 1 page

33 ÷ 6 = 5.5 minutes, and 6 ÷ 6 = 1 page

So 5 and a half minutes per page

To find out how long 28 pages will take, we multiply by 28

5.5 × 28 = 154 minutes, and 1 × 28 = 28 pages

Which gives us the time of 154 minutes to process and spell check 28 pages

Answer:

20264xy is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The height of the tree is 1.95 meters.

At 11 AM, we have

Savannah = 1.75 m

Tree Shadow = 43.75 m

Savannah Shadow = 39.2 m

So, we make use of the equivalent ratio

Savannah :Tree::Savannah Shadow:Tree Shadow

Now, 1.75:Tree::39.2:43.75

In fraction Tree/1.75 = 43.75/39.2

Multiply both sides by 1.75

Tree =43.75/39.2 ×1.75

Tree=1.95

Therefore, the height of the tree is 1.95 meters.

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Considering the market options that an investor takes, Each scenario listed is attached to the right action that is shown on the tiles:

An investor can be defined as a name given to an individual that takes every opportunity opened to him to make a profit and by so doing doesn't use his money but puts it into a venture that will yield more.

In conclusion, the list above are the required actions for each scenario that is encountered by an investor

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Answer:

Step-by-step explanation:

hold

sell

buy

hold

Answer:

2(6p+5) =

12p+10 =

12p = -10

p = -10/12

p = -5/6

The solution is B, (x, y, z) = (-1, 0, 0).

Eliminate z from the last two equations:

(y + 2z) + 2 (x - y - z) = 0 + 2 (-1)

2x - y = -2

Eliminate y from this and the first equation:

(-3x + 2y) + 2 (2x - y) = 3 + 2 (-2)

x = -1

Solve for y :

2x - y = -2

2 (-1) - y = -2

y = 0

Solve for z :

x - y - z = -1

-1 - 0 - z = -1

z = 0

Answer:

[tex]x =i\\\\x =-i\\\\x=\sqrt 5\\\\x=-\sqrt 5[/tex]

Step-by-step explanation:

[tex]~~~~~~~~x^4-4x^2 -5 = 0\\\\\implies x^4-5x^2+x^2 -5 = 0\\ \\\implies x^2(x^2 -5)+(x^2-5) =0\\ \\\implies (x^2 +1)(x^2 -5) - 0\\\\\implies x^2+1 = 0~~~~~~~~~ \text{Or}~~~~~~~~~ x^2 -5 = 0\\\\\implies x^2 = -1~~~~~~~~~~~~ \text{Or}~~~~~~~~~x^2 = 5\\\\\implies x= \pm\sqrt{-1}~~~~~~~~~\text{Or}~~~~~~~~~x=\pm\sqrt 5\\\\\implies x = \pm i~~~~~~~~~~~~~~\text{Or}~~~~~~~~~x=\pm\sqrt 5\\[/tex]

Answer:

Step-by-step explanation:

2x - 5 = 1/2x - 2

3/2x - 5 = -2

3/2x = 3

3x = 6

x = 2

y = 4 - 5

y = -1

(2, -1)

Step-by-step explanation:

X^2 +4X +4=12 subtract the 12 from both sides

X^2 +4x-8= 0

now factor if possible since this equation is not factorable you can use the quadratic formula

Answer:

0.03 second time the flight

Answer:

Okay, I figured it out. XY=9.246691583 or 9.247 if you're rounding.

Step-by-step explanation:

In the right triangle of XYZ, Given that angle Z=90 degrees, angle X=58 degrees and XZ=4.9m.

Since it's a right triangle you can use SOHCAHTOA:

cosθ=adjacent/hypotenuse

cosθ=4.9/h

You can then manipulate the formula to this

h=4.9/cos(degree) = h=4.9/cos(58)

=9.246691583

hope this helps

Answer:

 262.5 gallons

Step-by-step explanation:

The amount used is the difference between the starting and ending amounts:

 350 -(1/4) (350) = 262.5 gallons used