What is the length of chord CD in the O

Given:

monthly deposit, A=100

rate of interest, i = 1% per month = 0.01 per period

compounding period = 1 month (assumed).

Total payments :

n=60 payments of $100 at the end of the month (beginning of the next month) +

1 payment at the beginning of the first month.

Future value after 60 months

= amount due to 60 monthly payments at end of month + value of first payment

= A((1+i)^n-1)/i  + A*(1+i)^60

=100(1.01^60-1) + 100(1.01^60)

= 8166.967 + 181.670

= 8348.64 (to the nearest cent)

Answer:

8348.64

Step-by-step explanation:

Answer:30

Step-by-step explanation:

20+10=30

We are given a triangle with dimensions of the three sides as :

first side: 10x+3x²-8 feet

second side: 12x feet

third side: (15x+4) feet

Now perimeter of triangle is given by:

Perimeter = sum of three sides

So adding the three sides:

Perimeter = 10x+3x²-8 + 12x +15x+4

combining like terms and simplifying:

Perimeter = 3x²+37x-4

Answer: The perimeter of park will be (3x²+37x-4) feet.

Hey there!

Your answer is no.

I'll give an example to prove this wrong for you.

We have one rectangle with the dimensions of 2 x 6 units and another rectangle with dimentions of 4 x 4 units.

The perimiter of the first one is 16 because the four sides added up is 16: 2 + 2 + 6 + 6 = 16

The perimiter of the second is also 16. 4 + 4 + 4 + 4 = 16

So, they both have the same perimeter, but they are not congruent because their sides are different lengths.

Hope this helps!

Answer:

Step-by-step explanation:

Answer is 72 cm2.For step by step explanation please find the attachment.

Answer:

9/28

Step-by-step explanation:

There are a total of 18+6+32 = 56 spectators.

Out of this total number, 18 cheered for Luca; this gives us the ratio

18/56.

Both of these are even numbers.  This means we can divide both by 2:

(18÷2)/(56÷2) = 9/28

16

the simplest way to evaluate is to substitute n = 1, 2, 3, 4 into the expression and sum the terms

= [(2 × 1) - 1 ] + [(2 × 2) - 1 ] + [(2 × 3) - 1] + [(2 × 4) - 1]

= 1 + 3 + 5 + 7 = 16

Remark

You have to read this carefully to know what way to write it.

One way you could write it would be

20 * x = 18 where x is  the fraction. Now all you need do is divide.

Divide both sides by 20

20/20 * x = 18/20

[tex]\text{x = } \dfrac{18}{20}[/tex]

But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.

18: 2 * 3 * 3

20: 2 * 2 *5

Cancel out the Highest common factor or 2.

You are left with

[tex]\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}[/tex] <<<< Answer

★ What fraction of 20 is 18?

In questions like these, when you see the word "of", it is usually used for the denominator. In your question, it says "of 20". That means the denominator will be 20.

Here is your current fraction:

[tex]\frac{x}{20}[/tex]

After that phrase, it says "is 18". The word "of" is used for the numerator. That means the numerator is 18.

Here is your fraction:

[tex]\frac{18}{20}[/tex]

You have your complete fraction, but it can be simplified. Both numbers are even(numbers that end with 2, 4, 6, 8, or 0) and every even number is divisible by 2. You can just divide both numbers by 2.

[tex]\frac{18 \div 2}{20 \div 2} = \frac{9}{10}[/tex]

You have your simplified fraction, which is [tex]\frac{9}{10}[/tex], and it cannot be simplified any further.

Your answer is [tex]\frac{18}{20}[/tex] which becomes [tex]\frac{9}{10}[/tex] when simplified.

If you have any questions, feel free to ask in the comments! :)

8192, 16 x 8 x 64,  24 = 16, 26= 64, 23= 8

Hey there!

[tex]2^4[/tex] [tex]= 16[/tex]

[tex]2^3[/tex] [tex]= 8[/tex]

[tex]2^6[/tex] [tex]= 64[/tex]

____________________________________________________________

[tex]16(8)[/tex] [tex](64)[/tex]

[tex]16(8)[/tex] [tex]= 128[/tex]

[tex]128(64)[/tex] [tex]= 8192[/tex]

Answer: [tex]8,192[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Line D Represents Teresa's statement

I think the slope could be choice 4 The slope is 400ft This means that the Helicopter ascends 400ft a minute

Add 8y+3y=11y

Divide 44/11y=4

Answer= 4

The solution to the equation 8y + 3y = 44 is y = 4.

To solve the equation 8y + 3y = 44, we can combine like terms and solve for y:

Combine like terms on the left side:

8y + 3y = 44

Simplify:

11y = 44

Divide both sides by 11:

11y/11 = 44/11

Simplify: y = 4

Therefore, the solution to the equation 8y + 3y = 44 is y = 4.

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The density of gold in kilograms per cubic meter is 1.93 x 10³ kg/m³.

The density of gold is 19.3 g/cm³. To find the density in kilograms per cubic meter (kg/m³), we need to convert grams to kilograms and cubic centimeters to cubic meters.

1 g/cm³ = 1000 kg/m³.

Therefore, the density of gold in kg/m³ is 19.3 x 1000 = 1.93 x 10³ kg/m³.

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First to find the median we need to put the numbers in order from least to greatest.

62, 64, 65, 66, 67, 69, 83

Now take a number from each side

64, 65, 66, 67, 69

Once again.

65, 66, 67

On last time

66

So the median is 66.

Now to find the mean we must add all the numbers up

64+67+83+65+66+62+69

which equals 476

Now divide 476 by the total number of heights which is 7

476/7=68

So the mean is 68

Answers: Mean; 68 Median; 66

Answer:

it's 68,66, and mean

Step-by-step explanation:

i did it on edge mu hehehehehehe

[tex]a + b = -2\ and\ x + y = -2\\\\4x + 5a + 4y + 5b = (4x + 4y) + (5a + 5b) = 4(\underbrace{x + y}_{=-2}) + 5(\underbrace{a + b}_{=-2})\\\\=4(-2)+5(-2)=-8+(-10)=-18[/tex]

Answer:

0.65 miles.

Step-by-step explanation:

Dmitry runs 3.1 miles on Saturday.

He runs 2.45 miles on Sunday.

On Saturday he runs 3.1 - 2.45 = 0.65 miles farther.

Dimitry ran 0.65 miles farther on Saturday than that during Sunday.

Distance travelled in miles by Dmitry on Saturday, d₁ = 3.1 miles

Distance travelled in miles by Dmitry on Sunday, d₂ = 2.45

The difference in the distance travelled by Dimitry during Saturday and Sunday can be calculated by subtracting the distance travelled on Sunday from that during Saturday.

Subtraction is the activity or process of determining the difference between two amounts or numbers. The phrase taking away one number from another is also used to describe the act of subtracting one number from another.

So,

The difference between the distances, d = d₁ - d₂

d = 3.1 - 2.45

d = 0.65 miles

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The sequence is adding by three

your answer is multiplying by 2

Answer:   d = 0

Step-by-step explanation:

5d - 4 = 4 - d

+d             +d

____________

6d - 4 = 4

      -4   -4

__________

6d = 0

__   __

6      6

d = 0

[tex]5d-4=4-d\\\\6d=8\\\\d=\dfrac{8}{6}=\dfrac{4}{3}[/tex]

Hello...

What creates the convection current inside Earth?

A. Rising and sinking of material

Answer: A. Rising and sinking of material.

Step-by-step explanation:

Convection currents are caused by the cooling of material as it rises up, which leads to the same material to sink. This material then warms as it sinks to rise again. This is why we call them convection currents. Because they both rise, and sink, in a circular motion we call the convection current.

5x-x/y when x=4 and y=2

5(4)-4/2

20-2

18

So, just divide:

52.50 / 6 = 8.75

This means that she earns $8.75 an hour.

If this is her hourly salary, then multiply 8.75 x 11

8.75 x 11 = 96.25

So, if Paula works for 11 hours,  she will earn $96.25!

Remark

I think you can only do this either as a 2 step question or as a proportion. The easiest way is the proportion.

Proportion

6 hours / 52.50 = 11/x      Cross multiply

6*x = 52.50 * 11                Combine the factors on the right

6x =  577.5                       Divide both sides by 6

6x/6 = 577.5/6

x = 96.25                        Answer

Sand  

Because as you may be able to see it just goes through your fingers.

For example if you go to the beach and pick up a handful of sand, then let go. It will most likely fall out of your hands.

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The decimal expansion of 1/9 is 0.1111..., which continues indefinitely. This is achieved by dividing the numerator (1) by the denominator (9). The decimal expansion of a fraction is the expression of that fraction in base 10 notation.

The decimal expansion of the fraction 1/9 is 0.1111.... This is achieved by dividing the numerator (1) by the denominator (9). The process of long division would show you that 9 doesn't go into 1, so you add a decimal point and a zero, making the dividend 10. 9 goes into 10 once, so you put a 1 in the quotient above the line. This process repeats itself due to the nature of the divisor 9 and the decimal 0.1111... continues indefinitely.

It's important to note that the decimal expansion of a fraction is an expression of that fraction in base 10 notation. In other words, it is the fraction expressed as a decimal.

For some numbers, this can be a finite number of digits long, and for others, like 1/9, it can be infinitely repeating.

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Given

 One warehouse had 185 tons of coal, another one had 237 tons

The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.

Find out in how many days will the second warehouse have 1.5 times more coal than the first one.

To proof

Let us assume that the number of days of delivered the coal = x

Take two cases

First case

As given in the question

One warehouse had  coal = 185 tons

The first warehouse delivered 15 tons of coal to its clients daily

(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for first warehouse

= ( 185 - 15x)

( this equation represent the amount of coal left after x days)

Second case

second warehouse had  coal = 237 tons

the second one delivered 18 tons of coal to its clients daily.

(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for the second warehouse

= ( 237 - 18x)

( this equation represent the amount of coal left after x days)

As given in the question

the second warehouse have 1.5 times more coal than the first one

Thus

( 237 -18x ) = 1.5× ( 185 - 15x)

237 - 18x = 277.5 - 22.5x

22.5x - 18x = 277.5 - 237

4.5x = 40.5

x = 9

Therefore  the second warehouse have 1.5 times more coal than the first one in 9 days.

Hence proved