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If the simple interest on 5,000 for 3 years is 1,200 then what is the interest rate

Answer:

I'm pretty sure it's the first one

Answer:

When the diameter is known, the formula is Radius = Diameter/ 2.

When the circumference is known, the formula is Radius = Circumference/2π.

When the area is known, the formula for the radius is Radius = ⎷ (Area of the circle/π).

Answer:

X=8

Step-by-step explanation:

Given that the Area is 36ft^2, and the formula for calculating the area of a triange is:

\(a_{t} =h_{b}b/2\)

we have:

\(36 = \frac{(x+1)*x}{2}\)

we can start solving for x through the quadratic formula, but that will take long.

Instead, we can try replacing x by some numbers.

\(36*2=(x+1)*x\)

\(72=(x+1)*x\)

After a while,

\(72=(8+1)8\\\\72=9*8\\\\72=72.\)

We find that x=8.

IMPORTANT: X can also be -9 in this case. But a negative measurement doesn't make sense in this context, I would say that x=8 in this problem.

The distance of the trenches is 13 feet.

Joseph wants to dig a trench in his back yard to bury a cable.  He mapped out his back yard so that it is a coordinate plane so that each unit represents 1 foot, He needs to dig from (-4,1) to (8,6).  He digs a straight line.

The length of the trenches can be calculated using distance formula as follows:

Therefore,

d = √(y₂ - y₁)² + (x₂ - x₁)²

using (-4, 1) and (8, 6)

x₁ = - 4

x₂ = 8

y₁ = 1

y₂ = 6

Hence,

distance of the trenches = √(6 - 1)² + (8 + 4)²

distance of the trenches = √5² + 12²

distance of the trenches = 25 + 144

distance of the trenches = √169

Therefore,

distance of the trenches = 13 feet

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The volume is 3315 cubic feet.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given polynomial function is V(x)=x³-4x.

Here, W(x)=V(3x)

Replace x by 3x in the function V(x)=x³-4x, we get

V(3x)=(3x)³-4(3x)

V(3x)=27x³-12x

W(x)=27x³-12x

Replace x by 5 in the function W(x)=27x³-12x, we get

Now, W(5)=27(5)³-12(5)

= 27×125-60

= 3375-60

= 3315 cubic feet

Hence, the volume is 3315 cubic feet.

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"Your question is incomplete, probably the complete question/missing part is:"

A polynomial function V(x)=x³-4x that represents the volume of the right triangle pyramid when measured in cubic feet.

The function (x) =(3x) gives the volume (in cubic feet) of the pyramid when x is measured in yards.

Find a function W(x) that gives us the volume when measured in yards also to find W(5).

The solution to given system of equations is x = 3 and y = 6

In this question, we have been given a system of equations.

y = 2x                       .............(1)

x = 3                         ............(2)

We need to find the solution to given systems of equations.

substitute the value x = 3 in equation (1),

y = 2 * (3)

y = 6

So, the solution is x = 3 and y = 6

Therefore, the solution to given system of equations is x = 3 and y = 6

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Answer:

14x

Step-by-step explanation:

7 x 2 = 14

since we are multiplying 2x by 7 its 14x

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

12 i think I'm right. i don't know

Answer:

√74  or 74^(1/2)

Step-by-step explanation:

A (-2 , 4), C (3 , -3)

distance AC = √(x'-x)² + (y'-y)²

d = √(3 - -2)² + (-3 - 4)² = √5² + (-7)² = √74

Answer:

If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.

Answer:

Hey there!

I can't see the full problem, but if when x=0.5, y=4, then when x=4, y=32, and when x=9, y=72. You multiply by a common multiple to get from x to y.

Hope this helps :)

The probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings is approximately 0.00000027 or 2.7 in 10 million.

To compute the probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings, we can use the formula for hypergeometric probability.

The number of ways to draw three Jacks and two Kings from a deck of cards is given by:

(4 choose 3) * (4 choose 2) = 6 * 6 = 36

where (n choose k) represents the number of ways to choose k items from a set of n items.

The total number of ways to draw seven cards from a deck of cards is given by:

(52 choose 7) = 133,784,560.

So the probability of getting three Jacks and two Kings when drawing seven cards from a deck of cards is:

36 / 133,784,560 ≈ 0.00000027.

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Answer:

See below.

Step-by-step explanation:

A(x) = x^2 + 5x

A(x) = x^2 + 5x = 14

x^2 + 5x - 14 = 0

(x + 7)(x - 2) = 0

x + 7 = 0  or  x - 2 = 7

x = -7 or x = 2

x is the height of a rectangle.

The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.

The only viable solution for the height is x= 2, because height cannot be a negative value.

A rectangle is a quadrilateral with four right angles.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is \(ax^{2} +bx+c=0\)

Given,

Area of the rectangle = \(x^{2} +5x\) = 14

Then,

\(x^{2} +5x-14=0\\(x+7)(x-2)=0\)

Therefore x = -7 and 2

But the Height cannot be negative therefore x = 2

Hence, only viable solution for the height is x= 2, because height cannot be a negative value.

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1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer:

\(63\) goals

Step-by-step explanation:

Given information:

Total points earned from goals and assists = \(90\)

Goals : assists = \(7:3\)

Finding the number of goals:

Goals  \(=\frac{7}{3+7}\times90\)

\(=\frac{7}{10}\times90\)

\(=63\)

∴ The hockey player earned \(63\) goals.

Hope this helps :)

Answer:

Step-by-step explanation:

1. If the circumference is 72, our equation will be d=72/π.

2. 72/π is approximately 22.92.

3. The diameter is approximately 22.92.

Therefore , the solution of the given problem of  proportionality relationship comes out to be  it is not proportional relationship.

Relationships are regarded to as proportional when they continuously have the same ratio. For instance, the number of trees in an airport and the number of apples in a harvesting of apples depend on the average number of apples produced by each tree. A linear relation between two number or variables is referred to as being proportional in mathematics. If the initial quantity doubles, the other amount also does so. Whenever one of the parameters is reduced to 1/100th of the its previous value, the other decreases as well.

Here,

Given :

=> y=75x-56

The proportional relationship says that the line of the given equation passes through origin ,

So , if we put x = 0,

We should get y=0.

So ,

=>  y=75(0)-56

=> y = 56

Thus , x =0 and y=56  because this line do not pass through origin it is not proportional relationship.

Therefore , the solution of the given problem of  proportional relationship comes out to be  it is not proportional relationship.

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Answer:

The correct answer is 5b²-b-2

Step-by-step explanation:

Combing like terms means that you combine the terms that are alike. So, if you have integers you would combine the integers. If you had a variable like x, you would combine everything with x. For instance, 2x+4+3+7x, to combine like terms add 4+3 and 2x+7x.

Answer:

Step-by-step explanation:

Step one:

given data

we can express the given data mathematically as

John can paint 0.5room in 2/3 hours

let the part of the room he can paint in an hour be x

so

if he takes 2/3 hours to paint 0.5 room

then he will take 1 hour to paint x

cross multiply we have

x= 0.5/2/3

x=0.5*3/2

x= 1.5/2

x=0.75 part of the room

75/100= 15/20=3/4 part

Answer:

75

Step-by-step explanation: 100 divided by 4 = 25.

100 - 25 = 75.

Answer:

75$

Step-by-step explanation:

Original Price of the Item: $

100

Discount Percent (% off):

25

%

Results:

Amount Saved (Discount): $

25

Sale / Discounted Price: $

75

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

\(A\cap B={2,4}\)

Step-by-step explanation:

Intersection represents the elements present in both sets.

Best Regards!

The minimum value, Y_(1), from a random sample of Y_1, Y_2, ..., Y_n, where the probability density function is given by f_Y (y) = [ exp{− (y −c)}, if y>c] and 0 otherwise, is a consistent estimator of the parameter c.

To show that Y_(1) is a consistent estimator of the parameter c, we need to demonstrate that it converges in probability to c as the sample size, n, increases.

Since Y_(1) represents the minimum value of the sample, it can be written as Y_(1) = min{Y_1, Y_2, ..., Y_n}. For any given y > c, the probability that all n observations are greater than y is given by (1 - exp{− (y −c)}\()^n\). As n approaches infinity, this probability approaches 0.

Conversely, for y ≤ c, the probability that at least one observation is less than or equal to y is \()^n\). As n approaches infinity, this probability approaches 1.

Therefore, as the sample size increases, the probability that Y_(1) is less than or equal to c approaches 1, while the probability that Y_(1) is greater than c approaches 0. This demonstrates that Y_(1) converges in probability to c, making it a consistent estimator of the parameter c.

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The chance of getting two 1s when rolling two dice is 1/36. This can be answered by the concept of Probability.

The probability of getting a 1 on the first die is 1/6, as mentioned in the question. And the probability of getting a 1 on the second die, given that the first die is a 1, is also 1/6, as mentioned in the question.

To find the probability of both events happening, we multiply the probabilities of each event occurring. So the probability of getting a 1 on the first die and then getting a 1 on the second die is (1/6) × (1/6) = 1/36.

Therefore, the correct answer is 1/36.

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Answer:

Start at the origin and go to the left by one and go down by 4

Step-by-step explanation:

The x coordinate relates to the horizontal axis and the y axis refers to the vertical axis.

Before we start graphing we must always begin at the origin (0,0)

Since the x value is -1 we have to move left by 1 on the x axis

We would move to the left one value because negative is on the left side

For the y value, we would have to move 4 down on the y axis because this number is also negative.

So your graph should look like this

Hope this helps :)

Answer:

Step-by-step explanation:

A inbetween 4/10 and 5/10

B inbetween 30 and 40

C closer to the 8/10 but inbetween 9/10

D inbetween 20 and 30

E inbetween 2/10 and 3/10

F on the 5/10