Peter borrowed $100,000 at 8% compounded
annually, how much will he be paying after 2
years?

9514 1404 393

Answer:

  4√2

Step-by-step explanation:

In a 30°-60°-90° triangle, the ratio of side lengths is ...

  1 : √3 : 2

That is, the hypotenuse (c) is double the short side (2√2).

  c = 4√2

Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

Answer:

it is AB+bc to the nearest 100

Step-by-step explanation:

it is divided by 2

Answer:

16 ft³

Step-by-step explanation:

Volume of 1 cube = 1/3 x 1/3 x 1/3 = 1/27 ft³

Volume of 432 cubes = 432 x 1/27 = 16 ft³

Volume of one cube:-

Volume of chest

By the concept of polynomial, first second and third option are correct.\

What is polynomial?

At first it is important to know about algebraic expression

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

An algebraic expression of the form \(a_0+a_1x+a_2x^2 + ....+a_nx^n\) is called a polynomial of degree n

For the First Option

5 - 2a is in the form of \(b_0 + a_1a\)

So the first option is a polynomial

For the second option

\(4 - 8^2 -16\\4 -64 -16\\-76\)

which is a constant

And all constants are polynomial

So the second option is a polynomial

For the third option

\(5x^3 +4x^13x +1\\5x^3 + 12x^2 +1\)

which is of the form \(a_0+a_1x + a_2x^2 + a_3x^3, a_1 = 0\)

So the third option is a polynomial

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Answer:

I kept coming up with $3.56

Step-by-step explanation:

Answer:

$2.00 each

Step-by-step explanation:

Answer:

V=L*W*H

V=12*4*3

V=144

144 is your answer :)

Step-by-step explanation:

hope this helps

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

1/4 ft

Step-by-step explanation:

A = l x w

5/24 = 10/12 x w

Solve for w

5/24 divided by 10/12 = w

Take inverse of 10/12 and multiply

5/24 times 12/10

1/4

Answer:

Correct answer is the 4th answer.

Step-by-step explanation:

By definition, a matrix is called diagonalizable if there exists some invertible matrix P and a diagonal matrix D such that AP = PD, which is equivalent to having A = PDP^-1.

We are not told that D is a diagonal matrix, hence, it could be any matrix. If A=PDP^-1 for some matrix D that is not diagonal, it doesn't imply that A is diagonalizable. Consider the following case: Let us take A a non diagonalizable matrix. Take D = A and P = identity matrix of size n. Then, this equation holds, but A is still not diagonalizable.

Answer:

the answer is 27v- 2288/5

Answer: The answer is -5559

Step-by-step explanation:

Answer:

\( →( - 30( - 7)) - (210( - 3)) \\ = (210) - ( - 630) \\ = 210 + 630 \\ = \boxed{840}✓\)

The image of R after a reflection over the x-axis is the point S(-2, -1).

To reflect a point over the x-axis, we simply negate its y-coordinate while keeping its x-coordinate the same.

Starting with point R(-2, 1):

The x-coordinate remains the same: -2

The y-coordinate is negated: -1

So the image of R after a reflection over the x-axis is the point S(-2, -1).

To graph the reflection, we can plot the original point R and then draw a dashed line to represent the x-axis. Finally, we can plot the reflected point S on the other side of the x-axis.

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The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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Answer:

Surface area of the cuboid  = 236

Step-by-step explanation:

Step(i):-

Given that the length of the cuboid = 8 cm

Given that the width of the cuboid = 5 cm

Given that the height of the cuboid = 6 cm

Step(ii):-

The total surface area of the cuboid

   S A =  2( l w + w h+ hl)

           = 2( 8×5 + 5×6 + 6×8)

         = 2(118)

        = 236

Surface area of the cuboid  = 236

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

Step-by-step explanation:

Answer:

The answer is y < −2 + x/2 and the graph above if that's what ur looking for.

Answer:

5.25

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

Answer:

4x-5y

4*10-5*4= 40-20=20

Answer:20

Step-by-step explanation:x=10 and y=4

={ 4*10} - {5*4}

=40- 20

= 20

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

x=5  x=-3

Step-by-step explanation:

x^2 − 2x − 15 =0

Factor

What two numbers multiply to -15 and add to -2

-5*3 = -15

-5+3 =-2

(x-5) (x+3)=0

Using the zero product property

x-5 =0   x+3 =0

x=5  x=-3

Answer:

x^2 - 2x - 15 = 0

(x - 5) (x + 3) = 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Answer:

The gradient is given as m=1, and the point (7,2) lies on the line. Thus:

y - y1 = m(x - x1)

y - 2 = 1(x - 7)

y - 2 = x - 7

y = x - 5

So the equation of the line is y = x - 5.

Again, using the point-slope form of a straight line:

The gradient is given as m=-2, and the point (6,-3) lies on the line. Thus:

y - y1 = m(x - x1)

y - (-3) = -2(x - 6)

y + 3 = -2x + 12

y = -2x + 9

So the equation of the line is y = -2x + 9.

Answer:

AE = 6

AC = 12

BD = 16

AB = 10

Step-by-step explanation:

In a rhombus, which is equilateral, the diagonals bisect each other so,

AE = EC so 6

AC = AE + EC, which is 6+6

BD = ED + EB or 8+8

AB = BC so 10

Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

Answer:

x=2.8

Step-by-step explanation:

If JKLMN and PQRST are similar then you can look the to other sides to find the ratio that relates the two. For this specific one you are able to fin 0.4 is the relationship.

NJ is related to TP by a factor of 1.4. -> NJ*1.4=TP -> 4*1.4=5.6

The rest can be said to relate all the other sides together.