Find the amount owed at the end of 4 years if $3,000 is loaned at a rate of 7% compounded semiannually (twice a year).
[tex]$3,932.39[/tex]
[tex]$3,950.43[/tex]
[tex]$5,154.56[/tex]
[tex]$3,442.57[/tex]

This is a relatively complex problem and it took me a good 20 minutes to solve, I included a sketch I made myself while im solving this problem hope it helps with the explanation. (the dotted lines are my drawings, also I labeled the points just look at my graph)

Now to find <x, we can use the exterior angles theorem a couple of times.

<x=<p+<AGE

<x=30 degrees + <AGE

Now use the theorem again to find <AGE

<AGE=<q+<BIG

Now use substitution for <q and for <AGE

<x=30 degrees+60 degrees+ <BIG

We put this to the side for now and try solve for <CHD which is not very difficult

<CHD=180-45-20=115

We can also clearly figure out <HFI using vertical angles theorem.

<HFI=<Y

Because they all form a triangle we can conclude that <y+<BIG=180 degrees-<FHI= 180-115=65 degrees

substitution again

<x+<y=30+60+<BIG+<HFI (remember <HFI = <y vertical angles theorem)

<x+<y=30+60+65 (remember how we did before these 2 angles adds up to 65?)

<x+<y=155 degrees

Now please don't hate me on this, I'm sure there is more efficient ways to explain this problem, this is just my way from trial and error.

Tip for next time you are stuck on a geometry problem, don't be afraid to draw the graph again on paper and add lines to it!

You won't get everything perfect the first time you try but the more you practice the more comfortable you are with these problems, Hope my explanation helped!

**Just a note would you mind telling me where you got this problem form, its pretty challenging :)

Answer:

4m + 6  

Step-by-step explanation:

Hello There!

We can simplify the expression by distributing the 2 to what is inside of the parenthesis ( 3 and 2m)

3 * 2 = 6

2 * 2m = 4m

so the expression 2(3 + 2m) simplified would be

4m + 6  

Answer: 6+4m

Step-by-step explanation:

Let's take our equation first

2(3+2m)

Now we need to distribute the 2 into the parenthesis'

This would mean we need to multiply 2 by 3 and 2m

our answer would be

6+4m

WE CAN'T SIMPLIFY THIS ANYMORE

Answer:b

Step-by-step explanation:

Option B will be the correct option.

    Given in the question,

Expression for the volume of a cylinder = [tex]\pi r^{2}h[/tex]

                                                                  = [tex]\pi (2)^2(4.5)[/tex]

                                                                  = [tex]18\pi[/tex]

                                                                  = 18(3.14)

                                                                  = 56.52

                                                                  ≈ 57 in³

      Therefore, Option B is the correct option.

  Isabelle calculated the volume of whole jar that is 63 in³ by using the same expression.

Hence, she chose Option C as the correct option.

Learn more,

https://brainly.com/question/15891031

Answer: -3

Step-by-step explanation:

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

Answer:

288

Step-by-step explanation:

Answer:

48.25 - 6.25 -6n, 7 classes

Step-by-step explanation:

mark brainlest

Answer:

The equation: 6n+6.25 = 48.25

Step-by-step explanation:

i searched up the answer here u go

Answer:

Step-by-step explanation:

A car is rented for $40 per day plus $0.25 per mile driven. The total is $45.50-  40 + 0.25x + 45.50

Karen buys four t-shirts for $45.50. The three red t-shirts each cost 4 times the price of one blue t-shirt.- x + 3(4x) = 45.50

Finn buys a toy boat for $45.50 including tax He was charged 7% sales tax on the original price.- X+0.07% = 45.50

Nick buys a sweater and a jacket for $45.50. The jacket costs 4 times as much as the sweater- 1 X + 4x = 45.50

Answer:

an=a+(n-1)d

Step-by-step explanation:

1 3 9 ....

is the answer

Answer:

73

Step-by-step explanation:

According to Triangle Sum Theorem, the 3 interior angles of a triangle adds up to 180 degrees.

So, you can take the other 2 interior angles to find the third on:

180-72-35=73

<1=73 degrees

Answer: There were 40 euros in the drawer at the beginning.

Step-by-step explanation:

When we subtract 6 from 16, we get 10 more ice-creams were sold.

Similarly, we subtract 70 from 120, we get 50 euros was the total selling price of 10 ice-creams.

i.e. Selling price of 1 ice-cream = (50)÷10 =5 euros

Selling price of 6 ice-creams = 6 x 5 = 30 euros

Money in the drawer at the beginning = 70-30 = 40 euros

Hence, there were 40 euros in the drawer at the beginning.

Answer:

9.42478 cm

Step-by-step explanation:

Circumference = 2*3.14*radius

Radius = Diameter divided by 2 or 3/2 = 1.5cm

Answer:

B(4,8) C(5,1) D(9,6) E(2,10) F(0,5) G(7,2)

Step-by-step explanation: If it is going left subtract from the first number. If it is going down subtracting from the right number. If it is going right it is adding to the first number if going up adding to the second number

Answer:

Step-by-step explanation:

∠A + ∠B + ∠C = 180      {Angle sum property of triangle}

∠A + 65 + 55 = 180

       ∠A + 120 = 180

                ∠A = 180 - 120

               ∠A = 60

If two triangles are similar, then the corresponding angles of two triangles are congruent.

z = ∠A

z = 60

In ∆ ABC,

[tex]\angle[/tex] A + [tex]\angle[/tex] B + [tex]\angle[/tex] C = 180° .... (Angle sum property of a triangle)

Here, we have:

Substituting values,

As we know that,

★ If two triangles are similar, then the corresponding sides of two triangles are congruent.

Answer:

95 491/1000

Step-by-step explanation:

95.491 written as mixed number would look like: 95 491/1000

Answer:

97

Step-by-step explanation:

Answer:

D. 97

Step-by-step explanation:

Please give me brainliest or a thank you! I’ll explain my answer if I need it :)

Answer:

Para dividir un número decimal como 0.1 en 10 se debe adicionar un 0 del lado derecho del punto, es decir, del lado de los decimales.

Step-by-step explanation:

Dado que, si para dividir un número por 10 le debo suprimir a ese número la última cifra, como por ejemplo 120/10 es igual a 12, o 122/10 es igual 12 y me sobran 2, para dividir un número decimal como 0.1 en 10 se debe adicionar un 0 del lado derecho del punto, es decir, del lado de los decimales. Esto se comprueba al realizar dicha división:

0.1 / 10 = 0.01

0.01 / 10 = 0.001

:

[tex]hola \\ \[/tex]

hola

Answer: 10

Step-by-step explanation:

16 x 5/8

reduce the numbers to 2 x 5

cross out 16 and 8 and you have 5 left, 16 divided by 8 = 2

2 x 5 = 10

hope this makes sense and helps you :)

Answer:

x = 3√2 , y = 6

Step-by-step explanation:

In given triangle,

3√2 = x

and y is hypotenuse.

Using Pythagoras theorem

hypotenuse = √Perpendicular² + Base²

hypotenuse = √(3√2)² + (3√2)²

hypotenuse = √18 + 18

hypotenuse = √36

hypotenuse = 6

So,

x = 3√2 , y = 6

Answer:

I think the second one maybe

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

first you want to add 2, 3, 3, 8, 2, 6 together (24), then divide by 6 and you get 4, thats how you get the mean or the average value of things!

Please give me brainliest if I helped!

The calculated length of V'B' in the reflection of triangles is (c) 5

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

The triangle and the image

Also, we know that the triangles are reflected

The reflection transformation is a rigid transformation

This means that

V'B' = VB

From the figures, we have

VB = 5

So, we have

V'B' = 5

Hence, the length of V'B' is (c) 5

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Question

RVB has been reflected as shown in the diagram. What is the length of V'B'

Answer:A right triangle having sides 15 cm and 20 cm is made to revolve about its hypotenuse. Find the Volume and Surface Area of the double cone so formed. (Use π=3.14).

Step-by-step explanation:

Answer:

with what do you need help on

Answer:

negative numbers

Step-by-step explanation:

yes...........

Answer:

Negative numbers

Step-by-step explanation:

Hope this helps!

Answer: [tex]2*0.54^x[/tex]

Step-by-step explanation: