The radius of a circle is 8 kilometers. What is the area of a sector bounded by a 180 degree arc

The balance after 2 years will be $1872.72.

To find the balance after 2 years when you deposit $1800 into a savings account that earns 2% interest compounded annually, we can use the compound interest formula:

[tex]\[ A = P(1 + r)^n \][/tex]

Where:

- A is the amount of money accumulated after n years, including interest.

- P is the principal amount (the initial amount of money).

- r  is the annual interest rate (expressed as a decimal).

- n is the number of years the money is deposited for.

Given:

[tex]- \( P = $1800 \)[/tex]

[tex]- \( r = 2\% = 0.02 \)[/tex] (expressed as a decimal)

[tex]- \( n = 2 \)[/tex] years

Plug these values into the formula and solve for A :

[tex]\[ A = 1800(1 + 0.02)^2 \][/tex]

[tex]\[ A = 1800(1.02)^2 \][/tex]

[tex]\[ A = 1800(1.0404) \][/tex]

[tex]\[ A = 1872.72 \][/tex]

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

[tex]x = 3y[/tex]

The total interest is $1,350.

Thus, we can write the equation:

[tex]1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000[/tex]

Solving the two equations by substitution method:

[tex]7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000[/tex]

Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Answer:

-7(6 x t) *2

Step-by-step explanation:

Answer:

50 mph

Step-by-step explanation:

To calculate averages you add up all the items and divide by the total number of items there is.In this problem were 2 items so you divide it by 2

Add the two numbers

40+60=100

now just divide by 2 because there was 2 drives giving you 50 mph

Hope this helps!

:)

Answer:? 5,400.

Step-by-step explanation:

Answer:

29000

Step-by-step explanation:

Nearest thousand means the thousand at which the digit is nearest to. Now in approximation, we round up numbers from 1 to 4, to Zero while numbers from 5 to 9 are rounded up to 1.

28913 is between thousand 28,000 and 29000.

And then to be rounded up to the nearest thousand, the digit 9, before the thousand digit 8, in the number 28913 will therefore will rounded up to 1 and added to the thousand digit 28.

We therefore have 29,000

Answer:18%

Step-by-step explanation:

Sandra's Monthly budget on expenses for living expenses = $580

Sandra's semimonthly net = $1640

Sandra's monthly net = $1640 x 2 = $3280

The percent of her net monthly income that she budget on living expenses is:

= (Budget on living expenses / Monthly net) x 100

= (580 / 3280) x 100

= (0.176829) x 100

= 17.68% = 18% (approximately)

Answer:

18%

Step-by-step explanation:

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Answer:

x=4

Step-by-step explanation:

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Answer:

6

Step-by-step explanation:

Let the number be A

Given 6 times A is 12+ (4 xA)

That’s

6 x A = 12 + 4A

6A = 12 + 4A

Subtract 4A from both sides

6A - 4A = 12 - 4A - 4A

2A = 12

Divide both sides by 2

A = 12/2

A = 6

The number is 6

Answer:

Explanation:

In a right triangle the longest side is the hypotenuse. In this case the length is 5 units.

The hypotenuse is opposite to the right angle.

You must draw a small square inside the right angle. In the figure the right angle is labeled C.

The other two sides are the legs: in this case their lengths are 3units and 4 units.

The side with the shortest length is opposite to the smallest angle; the side with the intermediate length is opposite to the angle with the intermediate measure.

The vertices are marked with capital letters. I used A, B, and C.

With this explanation you can understand the figure attached and build one on your own.

Answer:

My options of triangles

The solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

Explanation:

The system of equations are [tex]4 x+5 y=7[/tex] and [tex]3 x-2 y=-12[/tex]

To determine the solution of the equation, let us solve the equations by elimination method.

Thus, multiplying the equation [tex]4 x+5 y=7[/tex] by 2, we get, [tex]8x+10y=14[/tex]

Multiplying the equation [tex]3 x-2 y=-12[/tex] by 5, we get, [tex]15x-10y=-60[/tex]

Adding these two equations, we have,

[tex]\ \ 8x+10y=14\\15x-10y=-60\\---------\\23x=-46[/tex]

Dividing both sides by 23, we have,

[tex]\frac{23x}{23} =\frac{46}{23}[/tex]

  [tex]x=-2[/tex]

Thus, the value of x is [tex]x=-2[/tex]

Substituting [tex]x=-2[/tex] in the equation [tex]4 x+5 y=7[/tex], we get,

[tex]4 (-2)+5 y=7[/tex]

    [tex]-8+5 y=7[/tex]

             [tex]5y=15[/tex]

               [tex]y=3[/tex]

Thus, the value of y is [tex]y=3[/tex]

Hence, the solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

The solution to the system of equations, is: (-2, 3).

To find the solution, you can use the elimination method by first making both equations equivalent. Then add or subtract to eliminate a variable.

Given:

Multiply eqn. 1 by 3 and eqn. 2 by 4:

12x + 15y = 21 --> Eqn. 1

12x – 8y = –48 --> Eqn. 2

23y = 69

y = 3

Substitute y = 3 into eqn. 1.

4x + 5(3) = 7

4x + 15 = 7

4x = 7 - 15

4x = -8

x = -2

Therefore, the solution to the system of equations, is: (-2, 3).

Learn more about the system of equations on:

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Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x  + 4 = 12 + 4

X² -4x  + 4 = 16

from left hand side X² -4x  + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x  + 4  has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has  two values it can either be positive or negative

so we have

x = 2 + √16

or

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

0r

x = 2 - 4

x = -2

Answer:

-2,6

Step-by-step explanation:

The answer is going to be 160.

Answer:

158

Step-by-step explanation:

40 is about 88% of 45,

88% of 180 is 158.4,

I'm assuming you need whole days so that would be 158

Answer:

Step-by-step explanation:

Factor using the perfect square rule.(5x−2)2

answer  using factor

Answer: 25x2+40x+16

Step-by-step explanation:

Answer:

he got 24 right

Step-by-step explanation:

30 time 80% is 24

John answered 24 questions correctly out of 30 by answering 80% of the questions correctly.

To determine how many questions John answered correctly, we can use the information that he answered 80% of the 30 questions correctly. We can follow these steps to find the answer:

0.80 * 30 = 24

Therefore, John answered 24 questions correctly out of the 30 questions on the test.

Answer:

False

Step-by-step explanation:

A cubic centimeter refers to a cube because it would be LWH (Lengeth * Width * Height) and if they were all one centimeter the volume would be 1 cubic centimeter. If it was a centimeter squared then it would be a square with 1 cm long sides.

Answer:

D. y = -x

Step-by-step explanation:

Hope this helps.

Brainliest...??

Answer:

2w + 13

Step-by-step explanation:

Step 1:  Distribute

-2(w - 5) + 4w + 3

-2w + 10 + 4w + 3

Step 2:  Combine like terms

-2w + 10 + 4w + 3

2w + 13

Answer:  2w + 13

Answer:

Option D, (-6, 8)

Step-by-step explanation:

Since it is reflected across the x-axis, that means the y values flip their signs.

Since D was (-6, -8) flip the y value you get (-6, 8)

Answer:  Option D, (-6, 8)

Answer:

D. (-6, 8)

Step-by-step explanation:

correct on EDGE

Answer:

$404.01 dollars

Step-by-step explanation:

603*33%=198.99

600-198.99=$404.01

MARK BRAINLIEST

Answer:

The suit costs $401.01

Step-by-step explanation:

$603.00 x .33 = $198.99

600.00 - 198.99 = 401.01

two hundred fourteen and thirteen thousandths

Answer: two hundred fourteen and thirteen thousandths

Step-by-step explanation: If you wanted to do this with 214.013, I start with the whole number, which in this case is 214. To write 214 in words, that would be two hundred fourteen. Now, if you add the decimal, you know the first decimal spot is tenths, second is hundredths, and third is thousandths. The decimal would be thirteen thousandths. To add that up, you get two hundred fourteen and thirteen thousandths.

Step-by-step explanation:

9x-6(x+4)

9x-6x-24

3x-24

Answer: 3x-24

Step-by-step explanation:

Answer: 20p

Step-by-step explanation:

20/(20p^2)          evaluated the power of 2

20/400p              divided 400/20

20p                      answer

Hope i could help i added step by step please give me brainliest

Equity at the end of the year = $130,000

Step-by-step explanation:

Step 1:

Given ,

Asset of the company at beginning of year = $300,000

Equity  of the company at beginning of year = $100,000

Increase of the assets  during the year = $80,000

Increase of the liabilities  during the year =  $50,000

We need to find the equity at the year end.

Step 2 :

The equity at any point can be obtained by using the formula

equity = assets - liability

At the beginning of the year ,

100,000 = 300,000 - liability

So liability = 300,000 - 100,000 = 200,000

Step 3 :

During the year, assets increase $80,000 and liabilities increase $50,000

So assets at the year end = 300,000 + 80,000 = $380,000

liabilities at the year end = 200,000 + 50,000 = $250,000

Therefore

Equity at the year end = 380,000 - 250,000 = $130,000

Step 4 :

Answer :

Equity at the year end = $130,000

Answer:

79%

Step-by-step explanation:

Area of the square:

1 + 1 = 2

2 × 2 = 4

Square = 4 units^2

Area of the circle:

pi × 1^2

pi × 1

1pi

Square = 3.14 units^2

Let's find probability:

3.14 ÷ 4 = 0.785

0.785 × 100 = 78.5

There is a 78.5% chance of landing in the circle. This percentage can be rounded to 79%

Answer:

7/4

Step-by-step explanation:

The slope of Q is (9-5)/(3-10) = -4/7

Perpendicular lines' slopes are opposite reciprocals of eachother (so the +/- changes and then x/y becomes y/x).

This means the slope of R is 7/4

The required slope of line R will be 7/4.

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

Two lines are perpendicular if the product of their slopes is -1.

The line Q is given which passes through points (3,9) and ( 10,5)

Let

x₁ = 3,  y₁ = 9

x₂ = 10, y₂ = 5

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Substitute values in the formula

The slope of line Q will be:

m = (9-5)/(3-10)

m = -4/7

Since line R is perpendicular to Q, so the slope of line R will be

⇒ -1/m

⇒ -1/(-4/7)

Reciprocal the term in the denominator,

⇒ -1 × -7/4

Apply the multiplication operation, and we get

⇒ 7/4

Therefore, the required slope of line R will be 7/4.

Learn about the perpendicular lines here :

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Answer:

48

Step-by-step explanation:

c÷4=12

4×c÷4=4×12

c=48

|-1| < |-2|

third answer

When a negative number is in a pair of |  |, it turns into a positive. Positive numbers stay the same.

Answer:

4•5 is Noah's result, 4+5 is Neithers, 4^5 is Noah's result, and 5^4 is Diego's result

Step-by-step explanation:

I am just trying to help. I hope it works!

Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Noah starts with 0 and then adds the number 5 four times.

i.e. we get,

Noah: 5+5+5+5=20

again, we have,

Diego starts with 1 and then multiplies by the number 5 four times.

i.e. we get,

Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20

so, we have,

that,  For each expression, we get 20

we know,

20 = 4*5

i.e. 4 multiplied by 5.

Hence, Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

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