Bob borrows $6500 at 8% interest compounded anually. How much will he owe after six years?


a

$6,785.33

b

$10,314.68

c

$9,620.00

d

$12,776.48

Answer: 1/2 + 2/3 + 4 /6  = 11/6

Step-by-step explanation:

1/2 + 2/3 + 4 /6

We need to find a common multiple, for the denominator. Let us choose 6, so we do not have to deal with large numbers.

Note that we do not change 4/6, since it already has a denominator of 6.

==> 3/6 + 4/6 + 4/6

Add;

==> 11/6

3/6 + 4/6 + 4/6  equal to 11/6

Hope this helped!

Answer:

C

Step-by-step explanation:

5-3=2. -2+3=1

Answer:

It would the be second ome. Hope this helped

Step-by-step explanation:

well, if you can go up down and sideways, I'd say, B, F, G, and D

Answer: A

Step-by-step explanation: you cross multiply

Step-by-step explanation:    Surface area of triangular prism = 2A + PH.

                                                Lateral surface of a triangular prism = Length × (a + b + c)  

i hope it helps u :-)

Answer:

225 and 243.4

Step-by-step explanation:

Area of triangle = bh/2

A = 4*4.6/2

A = 9.2 cm sq

A of 2 triangles = 9.2*2 = 18.4 cm sq

Now, Area of 1 rectangle = lb --> 15*5 = 75 cm sq

A of 3 rectangles = 75*3 = 225 cm sq

Now, LSA = 225 cm sq. (excluding the triangles)

TSA = A of tr. + A of rec. = 18.4 + 225 = 243.4 cm sq

Hope it helped. Pls mark me the BRAINLIEST! Don't fool pls

Answer:

C ≈ 12.56 cm²

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 4 ≈ 12.56 cm² ( to 2 dec. places )

Answer:

C=12.56 \(cm^{2}\)

Step-by-step explanation:

4*3.14(\(\pi\))=12.56

Answer:

not enough info to solve it. but I know the formulas to solve it.

Step-by-step explanation:

In order to find the radius, you must divide the area of the circle

for diameter you multiply the radius with 3.14 that should get you your answer.

Also, in the future for asking more questions maybe add more info so people can answer it. ty hope u have a good day

Answer: is that all that you can show. Bc I think I need more info

Step-by-step explanation:

Answer:

5 11/36

Step-by-step explanation:

Answer:

i i i i i i i i i i i i i i i i i i i i i i i i i i i i 56

Answer:

it's 4

Step-by-step explanation:

4 appears more times than any number here

Answer:

The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles

Step-by-step explanation:

From the three dimensional shape of a cube, triangles can be constructed from;

1) 6 side faces

2) 4 front face to opposite vertices triangles

3) 4 rear face to opposite vertices triangles

Each face can produce ₄C₃ = 4 triangles

Therefore;

The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4  × 4 = 56 triangles

Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent

The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent

The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent

Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.

There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.

Answer:

Answer is 3, i had it for homework

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

4/13 x/26

4 times 26, the that number divided by 4. Its called the butterfly/cross multiplying method

Answer:

the rate of change is $50

Step-by-step explanation:

each ticket costs $50 not 100

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer:

50 + 2 + 0.1 + 0.06

Answer:

\(\large \boxed{\mathrm{2 \ meters}}\)

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Answer:

item 1: (-3,3.5),

item 2: (3,1)

Item 3: (-1,-2.5)

item 4: (1.8,-1)

Step-by-step explanation:

Answer:

D-Length=2 inches Width=3inches

Step-by-step explanation:

Self explanatory, this is the only reasonable answer. The other answers size the image incorrectly to fit the question.

Good luck! Hope this helps!

Answer:

17,hope this helps

Step-by-step explanation:

Answer:

A, Problem one requires multiplication.

Step-by-step explanation:

The other problems all require division because for problem 2 you would have to divide 20.00 by 0.85. In the 3rd problem, you would have to divide 13.7 by 4. In the 4th problem, you would have to divide 152.45 by 24 to get the right answer.

Answer:

Its A

Step-by-step explanation:

I just want the points lol

Answer:

14x + 14

Step-by-step explanation:

Perimeter = 2( L + W)

2(2x+7 + 5x) = 2(7x + 7)

distributive property

= 14x + 14

Answer:

14x + 14

Step-by-step explanation:

perimeter formula: 2(w+l)

2(2x+7+5x) = 2(7x+7) = 14x+14

Answer:

350

Step-by-step explanation:

70% of 500 is 350

Answer:

None because 78 * 7 = 546

Step-by-step explanation:

Answer:

  (a)  none

Step-by-step explanation:

You want to know how many triangles can be formed from segments of lengths 1.6 m, 2.9 m, and 4.7 m.

The triangle inequality requires the sum of the two shorter segments exceed the length of the longest one.

  1.6 + 2.9 > 4.7

  4.5 > 4.7 . . . . . . . not true — no triangle can be formed

These segments will form no triangles.

<95141404393>

Answer:

73%

Step-by-step explanation:

have a great day

Answer:

Hi The answer is 1 1/8

Step-by-step explanation

The answer is 1 and 1/8

Answer:

\(\Longrightarrow:\boxed{\sf{x=22}}\)

Step-by-step explanation:

To find the value of x, isolate it on one side of the equation.

Given:

\(\Longrightarrow: \sf{m: (2x-26)}\\\\\\\Longrightarrow: \sf{n: (7x+8)}\)

\(\Longrightarrow: \sf{2x-26+7x+8=180}\)

First, combine like terms.

\(\Longrightarrow: \sf{2x+7x-26+8=180}\)

Add the numbers from left to right.

2x+7x=9x

\(\Longrightarrow: \sf{9x-26+8=180}\)

-26+8=-18

\(\Longrightarrow: \sf{9x-18=180}\)

Add by 18 from both sides.

\(\Longrightarrow: \sf{9x-18+18=180+18}\)

Solve.

Add these numbers from left to right.

180+18=198

\(\Longrightarrow: \sf{9x=198}\)

Divide by 9 from both sides.

\(\Longrightarrow:\sf{\dfrac{9x}{9}=\dfrac{198}{9}}\)

Solve.

Divide the numbers from left to right.

198/9=22

\(\Longrightarrow: \boxed{\sf{x=22}}\)

I hope this helps. Let me know if you have any questions.