A business takes out a simple interest loan of $10,000 at a rate of 7.5%. What is the total amount the business will repay if the loan is for 8 years?

Answer:

x² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (0, 3) and r = 3, thus

(x - 0)² + (y - 3)² = 3², that is

x² + (y - 3)² = 9 ← equation of circle

Answer:

Result at time x = 4 seconds the soccer ball hit the ground.

Step-by-step explanation:

At the moment just before the ball is kicked, it is on the ground and so the height f(x) is zero meters. After the kick, the ball goes through the air and it's path can be described by a (mountain) parabola.

So lets see after how many second (x) the height = 0 once again.

f(x) = 8x-2x^2

f(x) = 0

8x - 2x^2 = 0

Try to write the formula in two terms

-2x * (x - 4) = 0

When a product of two or more terms equals zero, then at least one of the terms must be zero.

Now solve each term = 0 separately, meaning, solve as many equations as there are terms in the product.

Any solution of term = 0 solves product = 0.

Solve the first term:

-2x = 0

Multiply left an right from the = singn with the factor -1 gives this outcome:

2x = 0

x = 0

Solve the second term:

x-4 = 0

x = 4

Result at time x = 4 seconds the soccer ball hit the ground.

x = 4

x = 0

Answer:

B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation

Step-by-step explanation:

Given

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

Required

Describe the next steps to

First, we open all brackets

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]

At this point, options A and C are incorrect because they didn't present the right result of the expression.

So, we have options B and D to consider

The next step is to subtract 2ab from both sides

[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]

Collect like terms

[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]

[tex]a^2 + b^2 - c^2 = 0[/tex]

Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below

[tex]a^2 + b^2 - c^2 = 0[/tex]

Add [tex]c^2[/tex] to both sides

[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]

[tex]a^2 + b^2 = c^2[/tex]

At this point, only option B completes Kira's proof

Answer:

It’s B

Step-by-step explanation:

I did the test

Step-by-step explanation:

First we will calculate the total amount spent on each website so

Website A = 49.95 + 4.39 = 54.34

Website B = 47.68 + 6.95 = 54. 63

So website A is cheaper by €0.29

Answer:

36-4c

plz mark brainliest

1.273 is the answer

bc the label is circumference and the width would be diameter

so circumference divided by pi is diameter

so 4 ÷ 3.14 = 1.273

Answer:i think it is 92.5

Answer:

9:13

Step-by-step explanation:

Answer:

Right

Step-by-step explanation:

Answer: the first one is x less than 468 and the second one is  and open circle at 468 and the third one is  go left

Step-by-step explanation:

it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left

Answer:

1/2

Step-by-step explanation:

Answer:

A. (2, 10)

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on a coordinates plane then

coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2

__________________________________________________

Given

one endpoint is (–6, 4) and midpoint is (–2, 7)

let coordinates of other endpoint be (x,y)

now if one endpoint is (–6, 4) and other endpoint is (x,y)

then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)

while the coordinates of midpoint given  is  (–2, 7)

thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)

-2 = (-6+x)/2             and   7 = (4+y)/2

=> -2*2 = -6+x                 => 7*2 = 4+y

=> -4 = -6+x                    => 14 = 4+y

=> -4+6 = x                     => 14-4 = y

=> x = 2                           => 10 = y

Thus, coordinates of the other endpoint is(2,10)

Answer:

y>7.5

line under inequality sign.

Step-by-step explanation:

Answer:

The standard deviation of the set is 4.2

Step-by-step explanation:

The standard deviation (sd) for the set is calculated as follows:

sd² = [(x1 - mean)² + (x2 - mean)² + ... ]/N

where x1, x2, et cetera are the values in the set and N is the number of elements in the set. Replacing with data:

sd² = [(2 - 7)² + (4 - 7)² + (6 - 7)² + (9 - 7)² + (14 - 7)²]/5

sd = √17.6

sd = 4.2

Answer:

[tex]\sqrt{119}[/tex]

Step-by-step explanation:

Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.

a^2+5^2=10^2

a^2+25=100

a^2=75

square root of 75

a=5[tex]\sqrt{3}[/tex]

5[tex]\sqrt{3}[/tex]^2+x^2=12^2

[tex]\sqrt{119}[/tex]

Answer:

8 1/3, or 8.307

Step-by-step explanation:

First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!

[tex]10^{2} - 5^{2} = 75[/tex]

Now, you have two options:

A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.

B) If you need to have something written down for your though process, go ahead and square root 75.

I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!

For the second half of the problem, to find x, we must again use the Pythagorean Theorem!

[tex]12^{2} = x^{2} + 75[/tex]

144 - 75 = 69

[tex]\sqrt{69} = 8.30662386292[/tex]

And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!

Hope this helps! Math is fun!

Answer: m= 2/3

Step-by-step explanation:

4/6 simplify into 2/3

Answer:

[tex]6m^{2}[/tex]

Step-by-step explanation:

well we are looking for a face of the rectangular prism.

the front face of the rectangular prism is length times height

which is 3 times 2 = [tex]6^{2}[/tex]

if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.

so the only face that can be answers is length times height.

therefore the answer is

6m^2

i rly hope this helps!! :)

Answer:

the answer is B .

Step-by-step explanation:

Answer:

the answer of the expression is 190

Step-by-step explanation:

Given expression as :

20 % of 950

Or, [tex]\frac{20}{100}[/tex] times 950

Or, [tex]\frac{20}{100}[/tex] × 950

Or, 20 × [tex]\frac{950}{100}[/tex]

or, 20 × 9.5

∴ 190

Answer:

1/5 times 950

Step-by-step explanation:

I did this on iready and got it correct

Answer: D. Magnetic Force

Step-by-step explanation:

The range isn't compatible from a long distance. Only when close to contact.

Answer:

the answer is magnetic force

hope this helps u

Answer: 5x^3 + x-6

Step-by-step explanation:

Answer:

If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].

Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.

The statement is not false.

An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.

Answer:

5 units

Step-by-step explanation:

the formula is delta y over delta x.

The distance between -2 and -2 is 0

The distance between 6 and 1 is 5

So, it's 5 units.

Hope this helps :)

Answer:

a = 80

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 60^2 = 100 ^2

a^2 +3600=10000

Subtract 3600 from each side

a^2 = 10000-3600

a^2 =6400

Take the square root of each side

a = sqrt(6400)

a = 80

Answer:

128

Step-by-step explanation:

There are 32 50's in 1600.

So 32x4=128

Answer:

It's the first one

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

x=y

they are the same numbers

Answer:

C (148)

Step-by-step explanation:

All numbers divisible by 3:

The numbers equal to something divisible by 3

ex:

138=

1+3+8= 12 which is divisible by 3, so 138 is divisible by 3

Answer:

138

Step-by-step explanation:

We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.

Answer: 653.45m²

I  got it right thats why

Answer:

x would equal -11 or 13

Step-by-step Explanation:

x(x - 2) - 143 = 0

x^2 - 2x - 143 = 0

-2x + x^2 = 143

-143 + (-2x) + x^2 = 0

(x - 13)(x + 11)

x - 13 = 0

Add 13 to both sides

x = 13

x + 11 = 0

Subtract 11 from both sides

x = -11

Answer:

C) 14

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 6 to both sides:

3x - 6 (+6) = 36 (+6)

3x = 36 + 6

3x = 42

Next, divide 3 from both sides:

(3x)/3 = (42)/3

x = 42/3

x = 14

c) 14 is your answer.

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