$500 at a simple interest rate of 3% for 4 years. Find the balance

Answer:

250

Step-by-step explanation:

if x=50

5(x)=5*50=250

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then:

To transform 9.75% into a decimal we have to divide it by 100, as follows:

Answer:

0.8

Step-by-step explanation:

I'm  just writing this

Answer:

x = 59 square meters

Step-by-step explanation:

To find x, you must first eradicate the 3 so you can divide. Subtract 3 from both 3 and 121. This should leave you with 118. Then, divide 118 by 2. This will leave you with 59 square meters.

1. 2x + 3 = 121

2. 2x + 3 - 3 = 121 - 3

3. 2x = 118

4. 2x/2 = 118/2

5. x = 59 units

Answer:

PENDULUM A pendulum swings with an arc length of 24 feet on its first swing. On each swing after the first swing, the arc length is 60% of the length of the previous swing. Draw a graph that represents the arc length after each swing.

Answer:

9.5

Step-by-step explanation:

Because you know the sum of all the picture heights and their individual lengths, you can divide 57 by 6. Once you do that, you can get the answer 9.5, which means that the height of each frame is 9.5 centimeters. Hope this helps :)

Given -

A. 20

B. 21

C. 24

D. 25

To Find -

Which is a perfect square =?

Step-by-Step Explanation -

We know that

4² = 16

and

5² = 25

So,

√25 = 5

25 is a perfect square of 5.

Final Answer -

Perfect square = 25

Answer:

Between the second and third vertical lines, as shown in attached image.

Step-by-step explanation:

To find the point between the 12 and the 20, subtract 12 from 20 and divide the result by two:

\(20-12=8\\\frac{8}{2}=4\)

Then, add the result (4) to 12. The midpoint between the 12 and the 20 on this number line is 16. This makes sense, because 16 + 4 = 20.

Now you can see that the midpoint between 16 and 20 is 18. This point is not yet marked with a line on the number line, but that's where you put the dot.

Answer:

Step-by-step explanation:

In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.

Four(4) children each have some beads, the mean number of beads is: 8

        4 * 8 = 32

We set the number of beads Rajiv brings as:

x, so the total number of beads that the Five(5) children have is:

32  +  x

The mean number of the Five(5) children is now: 9

      5  *  9   =  45

     32 +  x    =    45

      x  +  32  =    45

           -  32  =   -32

       x            =     13

By solving the above equation, you can get:

x  =  13

       13

Hope this helps!

Answer:

0.3 miles per hour

Step-by-step explanation:

Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3

Therefore , the solution of the given problem of volume comes out to be the cone has a height of 7 units.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. These symbols for cubic measurements are litre and in3. Nonetheless, assessing an object's volume allows one to ascertain its dimensions. The weight of the item is often converted into mass units like grammes or kilogrammes.

Here,

If r is the radius of the base and h is the height, then (1/3)r2h can be used to define the volume of a right cone.

As the base's diameter is specified as 6 units, the radius is equal to half that amount, or 3 units.

We can solve for the height by substituting the given volume of 21 units3 into the formula:

=> (1/3)π(3²)h = 21π

=>  9h = 63

=>  h = 7

As a result, the cone has a height of 7 units.

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Answer:

....................... what is the queston

Step-by-step explanation:

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Answer:

volume of sphere=4/3πr³=4/3×3.14×6²=164.16cm³

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

2×r+10 and 3×r+1

Step-by-step explanation:

a. 9+20= 29

b. 2×9+10= 18+10 = 28

c. 4x9-10 = 36-10 =26

e. 3×9+1 = 27 +1 = 28

the correct answer are 2×r+10 and 3×r+1

Answer:

umm i think A C D E ?

Step-by-step explanation:

because theyre all the same. some is just distribution. you should wait for another opinion though because im too lazy to check for B  

Answer:

131

Step-by-step explanation:

I have no idea but im  tellling you its 131

Answer:

Height= 8341.6 feet

Step-by-step explanation:

A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.

40°30'= 40.5°

37°46'= 37.767°

b = 180-40.5

b= 139.5°

a= 180-139.5-37.767

a= 2.733°

Using sine method

1000/Sina= y/sinB

1000/sin 2.733= y/sin 139.5

(1000*sin 139.5)/sin 2.733= y

(1000*0.6494)/0.04768= y

13619.96= y

Y= 13620 feet

Height/sin 37.767= 13620

Height=13620*sin37.767

Height= 8341.59

Height= 8341.6 feet

Answer:

3225 grams

Step-by-step explanation:

215 x 15

Answer:

4 1/2 cups of flour

4 1/2 tablespoons baking powder

4 1/2 teaspoon salt

4 1/2 eggs

5 cups of milk

5 cups of blueberries

Step-by-step explanation:

Answer:

0.9959 = 99.59% probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tested negative

Event B: Does not carry an abdornal CF gene.

Probability of a negative test:

10% of 1/25 = 0.04 = 4%

100% of 100 - 4 = 96%. So

\(P(A) = 0.1*0.04 + 1*0.96 = 0.964\)

Negative test and not carrying an abdornal gene:

100% of 96%. So

\(P(A \cap B) = 1*0.96 = 0.96\)

Compute the probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.96}{0.964} = 0.9959\)

0.9959 = 99.59% probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.

The tangent of theta = 13pi/12 is 3.

In mathematics, the tangent is a trigonometric function that describes the ratio of the length of the side opposite to an acute angle in a right-angled triangle to the length of the adjacent side. Specifically, the tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

The tangent of an angle theta can be expressed in terms of sine and cosine as:

tan(theta) = sin(theta) / cos(theta)

To use the sum formula, we need to know the values of sine and cosine for angles that are multiples of 45 degrees. From the unit circle, we know that:

sin(pi/4) = cos(pi/4) = sqrt(2)/2

sin(pi/2) = 1, cos(pi/2) = 0

Using the sum formula for sine and cosine, we can find the values of sine and cosine for theta = 13pi/12 as follows:

sin(13pi/12) = sin(pi/4 + 3pi/3) = sin(pi/4)cos(3pi/4) + cos(pi/4)sin(3pi/4)

= (sqrt(2)/2)(-sqrt(2)/2) + (sqrt(2)/2)(-1/2)

= -sqrt(2)/2 - sqrt(2)/4 = -3sqrt(2)/4

cos(13pi/12) = cos(pi/4 + 3pi/3) = cos(pi/4)cos(3pi/4) - sin(pi/4)sin(3pi/4)

= (sqrt(2)/2)(-sqrt(2)/2) - (sqrt(2)/2)(-1/2)

= -sqrt(2)/2 + sqrt(2)/4 = -sqrt(2)/4

Therefore, using the formula for a tangent:

tan(13pi/12) = sin(13pi/12) / cos(13pi/12)

= (-3sqrt(2)/4) / (-sqrt(2)/4)

= 3

Therefore, the tangent of theta = 13pi/12 is 3.

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Answer:

Step-by-step explanation:

11)  $175(1 - 0.30)(1 + 0.06) = $129.85

12) slope is 2, so basic equation is

y = 2x + b

plug in your desired point

-5 = 2(-4) + b

b = 3

y = 2x + 3

The value of the coefficients a, b, and c will be 2, 2, and negative 24. And the sign will be (<).

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

From the graph, the zeroes are -4 and 3. Then the factor of will be (x + 4) and (x - 3). Then the polynomial 'y' is given as,

y = a(x - 3)(x + 4)

At (1, -20), we have

- 20 = a(1 - 3)(1 + 4)

- 20 = a (-2)(5)

a = 2

Then the inequality is given as,

y < 2(x - 3)(x + 4)

y < 2(x² + x - 12)

y < 2x² + 2x - 24

The value of the coefficients a, b, and c will be 2, 2, and negative 24. And the sign will be (<).

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The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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Bob would have to sell each fish at $3.39 in order to make a profit of $1.25 on each fish sold

What is the selling price per fish?

The selling price per fish can be determined as the sum of the cost price of $2.14 and the profit per fish which is $1.25, in essence, the selling price in this case is the sum of the cost and profit or alternatively, we can model the profit as the selling price minus the cost price as shown below:

profit per fish=selling price-cost price

profit per fish=$1.25

selling price=unknown

cost price=$2.14

By making the selling price the subject of the formula, we can determine the selling price using the formula above

$1.25=selling price-$2.14

selling price=$2.14+$1.25

selling price=$3.39

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Answer:

0.00621

Step-by-step explanation:

We solve the above question using the

Z score formula. This is given as:

z = (x-μ)/σ/√n

where

x is the raw score = 12.20 or earlier

This means x ≤ 12.20

μ is the population mean = 13.20

σ is the population standard deviation = 2

n is the random number of samples = 25

z = 12.2 - 13.2/2/√25

z = -1/2/5

z = -1/0.4

z = -2.5

Probability value from Z-Table:

P(x≤ 12.2) = 0.0062097

Approximately = 0.00621

Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621