You invested $100 at 8.2% which is compounded annually for 7 years. How much will your $100 be worth in 7 years?

Given:

The given equation is:

[tex]y=5x[/tex]

Where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets.

To find:

The correct table of values from the given options.

Solution:

We know that the number of tickets and amount of money collected for the tickets cannot be negative. So, options A and B are incorrect.

We have,

[tex]y=5x[/tex]

For [tex]x=0[/tex],

[tex]y=5(0)[/tex]

[tex]y=0[/tex]

For [tex]x=10[/tex],

[tex]y=5(10)[/tex]

[tex]y=50[/tex]

For [tex]x=51[/tex],

[tex]y=5(51)[/tex]

[tex]y=255[/tex]

For [tex]x=400[/tex],

[tex]y=5(400)[/tex]

[tex]y=2000[/tex]

In option C, all the ordered pairs (0,0), (10,50), (51,255), (400,2000) are in the table. So, option C is correct.

For [tex]x=65[/tex]

[tex]y=5(65)[/tex]

[tex]y=325[/tex]

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

Answer: Universal set

Step-by-step explanation:

A universal set is usually represented by U and it is set that has all the elements of a related sets.

For example, if there are two sets which are X and Y. Let's say X = {1,2,3} and Y = {1,a,b,c}, therefore, the universal set will be U = {1,2,3,a,b,c}.

In the above scenario, H(...-2,-10,1,2,...3) is a Universal set.

Answer:

15%

Step-by-step explanation:

The first step is to find the loss

Cost price -selling price

37000-31450

= 5,550

The loss percent can be calculated as follows

= loss/cost price × 100

= 5550/37000 × 100

= 0.15×100

= 15%

Hence the loss percent is 15%

Answer:

280

Step-by-step explanation:

aight so substitute first

14(3(2)-4)(2(3)+4)

14(2)(10)

14×20

280

Answer:

Step-by-step explanation:

Area of room = 6×9.5=57m2

Area of room including verandah = 12×8.5=102m2

So area of verandah = 102−57=45m2

So cost of cementing the floor of this verandah = 45×80=3600rupees

Answer: 21

Step-by-step explanation:

Let the consecutive odd numbers be represented by x and x+2. Therefore,

x × (x+2) = 483

x² + 2x = 483

x² + 2x - 483 = 0

x² + 23x - 21x - 483 = 0

x(x + 23) - 21(x + 23) = 0

(x - 21) = 0

x = 0 + 21

x = 21

The smaller integer is 21

The larger integer is 21 + 2 = 23.

Answer:

23.83

Step-by-step explanation:

If the number next to it is above 5 then you round it up.

So the 2 becomes a 3 because the 6 to the right of it is above 5.

Hope this helps

Brainliest would be appreciated

Answer:

A = 99 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex]  bh ( b is the base and h the perpendicular height )

Here b = 18 and h = 11 , then

A = [tex]\frac{1}{2}[/tex] × 18 × 11 = 9 × 11 = 99 cm²

It is C because if you pinpoint 1.5 on the x axis and look at the y axis right above it, go to the right and you will see 15 so C is the answer.

Answer:

Step-by-step explanation: B

Just multiply 0.32 x 11

Answer:

A

Step-by-step explanation:

Problem 1

Let's say that c = 36.  

Since she has 90 feet of rope total, that leaves 90-36 = 54 feet of rope for sides 'a' and b to divide up somehow. We can say a+b = 54  

Now let's say we want 'a' to be as large as possible. To do this, we need to make b as small as possible. That occurs when b = 1. We can't have b = 0, or else a triangle won't form. So the next value up is b = 1.  

If b = 1, then,

a+b = 54

a = 54-b

a = 54-1

a = 53

The longest side possible is 53 feet

=====================================================

Problem 2

Recall that (5,12,13) is a pythagorean triple. This is because 5^2+12^2 = 13^2. Both sides lead to 169.

Since we have a pythagorean triple, this indicates a triangle with sides 5,12,13 is a right triangle.

If a triangle has sides 5,12, and 13, then the perimeter is 5+12+13 = 30.

Triple each side to get a larger triangle of 15, 36, and 39. The larger perimeter is 90 after adding those larger sides. Note the jump from 30 to 90 is "times 3". It's not a coincidence that the perimeter has multiplied by the same scale factor as the side lengths.

Also note that 15^2+36^2 = 39^2. Both sides lead to 1521. This indicates we have a right triangle and (15,36,39) is another pythagorean triple. Any scaled version of a pythagorean triple, is also a pythagorean triple.

-------------

In short, we've found that a triangle with sides 15, 36, and 39 is a right triangle and has perimeter 90 feet.

Answer:

50 in

Step-by-step explanation:

Answer:

[tex] \frac{1}{3} \times \pi \times {r }^{2} \times h \\ \frac{1}{3} \times 3.14 \times 36 \times 20 \\ \\ = 753.6 {cm}^{3} [/tex]

either you can write it in terms of π

Answer:

ok so this is the solution go to search and look up the question you posted and it will give you the answer

THIS IS WHAT I found HOPE THIS HELPED

Step-by-step explanation:

Solution

753.98224cm³- think this is the answer check your answer choices to see if you have this choice 753.98224cm³

if not let me know 753.98224cm³

Answer:

a) identity property of multiplication

b) commutative property in addition

Answer:

What are you gonna do is across the x

Step-by-step explanation:

Answer: 25/37 = 0.67

Hopefully that helps!!

Answer:

The answer is b. But you asked for the thought process so...

Step-by-step explanation:

Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.

We know that

Speed = Distance/Time.

Or, Time = Distance/Speed.

So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.

And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.

= 100/x hr.

So we can clearly see that his new time compared with the old time was: twice as much.

Have a great day :)

Answer:

sohcahtoa

Step-by-step explanation:

Answer:

Use the Distance Formula! It's super simple. Btw your answer is 2i√7

Step-by-step explanation:

If you look at the second image you can see all the work plus steps to solve it yourself next time!

Please mark brainliest!

The distance between the two points will be 10 units.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

Given points are (1,3) and (5,6). The distance between the points will be calculated as below:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

Substituting the given values, we get:

D = √((3 - (-3))² + (-4 - 4)²)

D = √(6² + (-8)²)

D = √(36 + 64)

D = √(100)

D = 10

Therefore, the distance between the two points (-3, 4) and (3, -4) is 10 units.

To know more about coordinate geometry follow

https://brainly.com/question/18120105

#SPJ2

Answer:

Explanation:

mGB = 90°

mGB = mBD

∴ mGD = 180°

⇒ mFE = 180 - (mDE + mFG)

mFE = 180 - (49 + 12)

mFE = 180 - 61

mFE = 119°

Answer:

119°

Step-by-step explanation:

[tex] In\: \odot A, [/tex] GD is diameter.

[tex] \therefore m\widehat{GFD} = 180\degree [/tex]

[tex] \because m\widehat {FG} +m\widehat {DE} = m\widehat {FE} \widehat{GFD} [/tex]

[tex] \therefore m\widehat {FG} +m\widehat {DE} + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore 49\degree +12\degree + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore 61\degree + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore m\widehat {FE} = 180\degree - 61\degree [/tex]

[tex] \therefore m\widehat {FE} = 119\degree [/tex]

Answer:

Independent

Dependent

Step-by-step explanation:

Two events are independent of each other when you can mulitply them and get their intersect

we can can see that

9/20*7/10= 63/200 so these events are independent

For number 2

7/10*7/10≠ 21/40 so these events are dependent

Answer:

polynomial

the table shows x^2 = y

Answer:

I would say this is a polynomial function since there is no relation in the increasing y-values

Hope this helps!

Answer:

57

Step-by-step explanation:

An angle formed by a tangent and secant is equal to half the difference of its intercepted arcs. ( major arc minus minor arc to be more specific. )

∠B is the angle formed by a tangent and secant

Arc CA is its intercepted arc ( minor arc to be more specific )

Arc DA is also its intercepted arc ( major arc to be more specific )

Hence, ∠B = [tex]\frac{1}{2}[/tex] ( Arc DA - Arc CA )

If arc CA = 51 and Arc DA = 165

Then ∠B =

[tex]\frac{1}{2} (165-51)\\165 - 51=114\\\frac{1}{2} (114)=57[/tex]

Hence, ∠B = 57

Answer:

No

Step-by-step explanation:

To check if the point fits into the line, we can substitute the x and y coordinates from the point (5, 4):

y = x

4 = 5

This statement(4 = 5) is not true, therefore, the point (5, 4) does not lie on the line y = x

Since the coordinates (5, 4) are not the same on both axis, hence the coordinates do not lie on the line y = x

Coordinate points are points written in the form (x, y) where x and y are values on the x and y axis respectively

Given the coordinate (5, 4), we are to determine if it lies on the line y =x.

For a coordinate to lie on the line y = x, the coordinate x and y axis must be equal.

Since the coordinate (5, 4) are not the same on both axis, hence the coordinates do not lie on the line y = x

Learn more on lines here: https://brainly.com/question/3493733

Answer:

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation: