An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.

The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6

From the question, we are to determine the length of side AB in the given triangle.

Using the law of sines, we can write that

AB/sinC = BC/sinA

From the diagram,

C = 50°

BC = 19

A = 40°

Thus,

AB/sin50° = 19/sin40°

AB = (19 × sin50°) / sin40°

AB = 22.6433

AB ≈ 22.6

Hence, the length is 22.6

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Answer:

oc2

Step-by-step explanation:

because

Answer:

not a straight line

Step-by-step explanation:

Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.

Nonlinear means "not like a straight line".

Answer: not a straight line

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

Answer:

4(x+8) OR 4x+32

Step-by-step explanation:

4x+(4*3.75)+(4*4.25)

There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.

If you want to factor it, the answer would be 4(x+8)

If you want it simplified, it would be 4x+32

9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

x=8

Step-by-step explanation:

the value of x is 8

so your answer is x=8

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

Answer:

Limaçon

Step-by-step explanation:

In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

The name of the shape depicted in the graph below is a. Limacon.

Polar curves are the curves which are formed using the polar coordinate system.

The distance of the points from the origin will be varying depending on the angle from the positive X axis.

The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.

Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.

The given shape is the limacon with inner loop.

Lemniscate will always be a 8 shaped curve.

Hence the correct option is a, limacon.

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The image of the labeled spinner isn't attached

Answer:

Kindly check explanation

Step-by-step explanation:

Answering hypothetically ;

First create a sample space using the label of the two spinners ;

Each space will be the sum of the possible number that shows up on each turn of the spinner.

From the sample space, count the number of spaces where, the sun is greater than 4, that is the required outcome ; = x

Then the total number of samples in the sole space = total possible outcomes = y

Hence,

P(obtaining a sum greater than 4) = required outcome / Total possible outcomes

= x / y

9514 1404 393

Answer:

  $45

Step-by-step explanation:

The relation is ...

  resale price = cost + markup

  = cost + 0.54×cost

  = 1.54×cost

Then the resale price is ...

  resale price = 1.54×29.25 = 45.045 ≈ 45.00

The resale price is $45.00.

Answer:

5,024,000,005.006

Step-by-step explanation:

This is the standard form of five billion, twenty-four million, five and six thousandths.

Answer:

I think the answer is letter B

Answer:

4π yd²

Step-by-step explanation:

Area of a circle = πr²

πr²=4π

r²=4

r=2

Circumference of a circle = 2πr = 2π(2) =4π

Answer:

62/100 multiplied by 650 which is 403 fruits left

Answer:

3:7 or 3/7

Step-by-step explanation:

if it helps don't forget to like and mark me

Answer:

2x^2 + 7x + 3 is the area of the rectangular piece of wood.

Step-by-step explanation:

Here,

Length ( l ) = x + 3

Breadth ( b ) = 2x + 1

Formula : -

Ar ( rectangle ) = lb

lb

= ( x + 3 ) ( 2x + 1 )

= x ( 2x + 1 ) + 3 ( 2x + 1 )

= 2x^2 + x + 6x + 3

= 2x^2 + 7x + 3

Read the procedural text.

Plain Taffy

3.5 lbs. white sugar

2 cups water

1 teaspoon cream of tartar

Put the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.

Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.

Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.

Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.

Cut into bars or squares with a knife or taffy cutter while still warm.

Allow taffy to cool before eating.  so the answer is A

Answer:49.5

Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5  and 6 inchs will be 18 so if you all together you will get 49.5

Answer:

36

Step-by-step explanation The answer would be  36 because A=a2=62=36 and the math added to 36 hope this helped.

Answer:

y = 1.7 cm

Step-by-step explanation:

V= lwh

w = [tex]\frac{V}{lh}[/tex] = [tex]\frac{53.72 cubic centimeters}{4cm(7.9cm)}[/tex] = 1.7 cm

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100