help please!
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.

How much money was in the account after ​3​ years?

Answer:

[tex]\$100 = 8200\ Yen[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Step-by-step explanation:

Given

[tex]\$ 1 = 82\ Yen[/tex]

Solving (a): Equivalent of $100

Represent this with x.

So, we have:

[tex]\$100 = x[/tex] and

[tex]\$ 1 = 82\ Yen[/tex]

Cross Multiply:

[tex]x * \$1 = 82\ Yen * \$100[/tex]

[tex]x * 1 = 82\ Yen * 100[/tex]

[tex]x = 8,200\ Yen[/tex]

Hence:

[tex]\$100 = 8200\ Yen[/tex]

Solving (b): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 10

[tex]10 *\$100 = 8200\ Yen * 10[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

Solving (c): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 100

[tex]100 *\$100 = 8200\ Yen * 100[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Answer:

A. 13.

Step-by-step explanation:

x + 9 = 2(3x - 38)

X + 9 = 6X - 76

85 = 5x

x = 85/5

x =  17

So RS = 3(17) - 38

= 51 - 38

= 13

Answer: 2 more games

Step-by-step explanation:

From the question, we are informed that a baseball team has won 6 game and lost 4 game.

We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.

Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.

Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.

[tex]x {}^{2} + 8x + 15 = 0[/tex]

[tex]x^2 -5x-3 x +15=0[/tex]

[tex]x(x-5)-3(x-5)=0[/tex]

[tex](x-5)(x-3)=0[/tex]

[tex]x=5,3[/tex]

Answer: x = -3, -5

Step-by-step explanation:

Solve by Factoring

x^2 + 8x + 15 = 0

Factor x2 + 8x + 15 using the AC method.

  Consider the form x2 + bx + c. Find a pair of i ntegers whose product is c and whose sum is b. In this case, whose product is 15 and whose sum is 8.

3, 5

  Write the factored form using these integers.

     (x + 3) (x + 5) = 0  

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x + 3 = 0

x + 5 = 0

Set x + 3 equal to 0 and solve for x.

  Set x + 3 equal to 0.

     x + 3 = 0

  Subtract 3 from both sides of the equation.

     x = −3

Set x + 5 equal to 0 and solve for x.

  Set x + 5 equal to 0.

     x + 5 = 0

   Subtract 5 from both sides of the equation.

     x = −5

 The final solution is all the values that make (x + 3) (x + 5) = 0 true.

     x = −3, −5

Answer:

28

Step-by-step explanation:

Let x be the number of capsules on the Singapore Flyer.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

The total number of capsules on the Singapore Flyer is 28.

To find total number of capsules on the Singapore Flyer.​

Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.

Given that:

Let x be the number of capsules on the Singapore Flyer.

Total capacity : 784 passengers.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

So, the total number of capsules on the Singapore Flyer is 28.

Learn more about volume here:

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Answer: What??????

Step-by-step explanation:

Answer:

17/21

Step-by-step explanation:

Because i had that question and it was 17/21

There is an infinite number of solutions.

Y = x + 2

You could replace Y with 4 and X with Y-2 (which is 2 in this case. 4-2=2).

The result would look like this:

4 = 2 + 2

or

Y = x + 2

Y = 4

x = 2

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.

Hence we have 360°/13 = 27.7° (1d.p.)

The measure of an exterior angle of a regular 13-gon is 27.69°.

A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.

The given polygon is a regular 13-gon.

Therefore, all the exterior angles of this polygon are equal.

We know, each exterior angle of a regular polygon with 'n' sides is

= (360 / n)°

Here, n = 13.

Therefore, the value of each exterior angle

= (360 / 13)°

= 27.69°

Learn more about a polygon here:

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Answer:

-4+(-2)=-6

Step-by-step explanation:

So the arrow goes from -4 to -6 so the end answer is -6 and -4-2 is -6

Answer:

Step-by-step explanation:

$6903 so thos is the answer

Answer:

answer is $613.50

Step-by-step explanation:

Answer:

48 ft²

Step-by-step explanation:

The area of the green shaded part will be :

Area of the entire rectangle green shape assumed complete minus the area of the removed parts{ small rectangle  + triangle }

Area of the entire rectangle green shape assumed complete

Area= length * width

A= l*w

A= 5ft * 12 ft = 60 ft²

Area of small rectangle removed part

2 * 3 = 6 ft²

Area of the triangle removed

A= 1/2 * b * h

A= 1/2 * 3 * 4

A= 6 ft²

Area of the outdoor carpet needed for the hole

60-{6+6}

60 -12 = 48 ft²

Answer:

54

Step-by-step explanation:

Answer:

y=50x+120

Step-by-step explanation:

y is the ending altitude

x is the number of hours the climber has climbed

put 50 before x because that how fast the climber is climbing

then 120 is your y intercept  

Answer:

We conclude that:

''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:

Step-by-step explanation:

Given the statement

''add 3 and the sum of 9 and v''

Let us break down the statement

so

Adding 3 and the sum of 9 and v will be: 3 + 9 + v

Therefore, we conclude that:

''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

2

x

=

16

Divide each term by

2

and simplify.

Tap for fewer steps...

Divide each term in

2

x

=

16

by

2

.

2

x

2

=

16

2

Cancel the common factor of

2

.

Tap for more steps...

x

=

16

2

Divide

16

by

2

.

x

=

8

Answer:

move the constant to the right 2x=13-3 subtract 2x =10 divided both sides by 2 x=5

Answer:

153.9 in²

Step-by-step explanation:

Using the formula: A = π r²

Where r = the radius and π is 3.14.

The radius is the diameter divided by 2.

14 divided by 2 is 7.

Plug in 7 into the formula:

A = π 7²

7² is 49.

49 times π is equal to 153.86.

Rounding this up to the nearest tenth, you'll get 153.9

Answer:

2/21

Step-by-step explanation:

Probability = expected outcome/ possible outcome

Answer:

B) 110.92 u²

Step-by-step explanation:

to find the surface area, find the area of each side and add them together.

here are all 6 sides:

4.5 * 6.8

4.5 * 6.8

4.5 * 2.2

4.5 * 2.2

2.2 * 6.8

2.2 * 6.8

4.5 * 6.8 = 30.6

4.5 * 6.8 = 30.6

4.5 * 2.2 = 9.9

4.5 * 2.2 = 9.9

2.2 * 6.8 = 14.96

2.2 * 6.8 = 14.96

30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96

110.92

Answer:

the answer is C

Step-by-step explanation:

2x - 3y > -12

3x + 2y < or = 18

Answer:

Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)

Answer:

35% off

Step-by-step explanation:

= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%

Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%

2.6 is a 35% decrease of 4.