Jin has a collection of 60 movies. Twenty-four of the movies are animated movies. What percent of Jin’s movie collection are animated movies?

We will have $1800 in account for United Bank and $2191.12 in account for Federal bank and the balance differ by $391.12 .

Simple Interest can be calculated using the formula

SI=(P*R*T)/100  ...(i)

where P=principal , R= rate per annum , T= time in years.

In the given Question

For United Bank the interest is Simple interest,

principal = $1000

rate of interest = 4%

Time = 20 years

Substituting the given values in equation (i) we get

SI=(1000*4*20)/100

=80000/100

=800

The Simple Interest is $800

The final amount in United Bank after 20 years = $1000+$800 = $1800

For Federal Bank

Since interest is compounded annually Compound Interest Formula for Amount will be used

In Compound Interest the final Amount is calculated using \(Amount = P*(1+\frac{r}{n} )^{nt}\)   ....(ii)

Given the values  

principal = $1000

rate of interest = 4% = 0.04

Time = 20 years

n=1     ( as rate is calculated  annually )

Substituting the given values in equation (ii) we get

A=1000*(1+0.04)²⁰

=1000*(1.04)²⁰

=2191.12

the amount in Federal bank after 20 years = $2191.12

Difference in amount = Amount in Federal Bank - Amount in United Bank

=$2191.12 - $1800

=$391.12

Therefore , We will have $1800 in account for United Bank and $2191.12 in account for Federal Bank and the balance differ by $391.12 .

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20 is a solution to the equation by using the replacement set.

Given the following data:

a. To represent the statement as an algebraic equation:

In this exercise, you're required to write a mathematical expression (algebraic equation) that represents the word sentence given.

Translating the word sentence into an algebraic expression, we have;

The product of 0.4 and a number is 8:

\(0.4n = 8\)

b. To determine the solution set using the replacement set:

When n = 0:

\(0.4(0)=8\\\\0\neq 8\)

When n = 1:

\(0.4(1)=8\\\\0.4\neq 8\)

When n = 10:

\(0.4(10)=8\\\\4\neq 8\)

When n = 20:

\(0.4(20)=8\\\\8= 8\)

Therefore, 20 is a solution to the equation by using the replacement set.

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Answer:

20 is the answer.

Step-by-step explanation:

Answer:

21 square feet

Step-by-step explanation:

In this answer, I have attached an image.

I have split the figure into two parts, A and B.

Area of A: \(6ft \times 2ft= 12\ square\ feet\)

Area of B: \((5ft-2ft)\times 3ft=3ft\times 3ft = 9\ square\ feet\)

Total Area: \(12\ square\ feet+9\ square\ feet=21\ square\ feet\)

Answer:

43.75 ft²

Step-by-step explanation:

Actual sizes

4/2 *5 = 10 feet

3.5/2 * 5 = 8.75 feet

Area

a = (1/2)bh

a = (1/2)(10)(8.75)

a = 43.75 ft²

Answer:

I think it´s 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because 15% (or 0.15) times 80 equals 12.

Polynomials are equations that uses variables and several terms

The polynomial in standard form is f(x) = x^2 - x -20

The polynomial has 2 zeros.

So, the form of the polynomial is:

f(x) = a(x - x1)(x - x2)

The zeros of the polynomial are 5 and -4.

So, the equation becomes

f(x) = a(x - 5)(x + 4)

The value of a = 1.

So, we have;

f(x) = 1(x - 5)(x + 4)

This gives

f(x) = (x - 5)(x + 4)

Expand

f(x) = x^2 - x -20

Hence, the polynomial in standard form is f(x) = x^2 - x -20

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The Line t || Line v the  value of angle m∠5  is 69.28° .

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Line t || Line v

m∠5 =5x + 45

m∠7 = 12x - 11,

According to given question we have

Line t || Line v

Using the property of interior angles on same sides we get

m∠5 =m∠7

5x + 45=12x - 11

compare like terms we get

45-11=12x-5x

34=7x

x=34/7°

By put the value of x

m∠5 =5x + 45

m∠5 =5*34/7+45

m∠5 =485/7=69.28°

m∠7 =12x - 11=12*34/7-11

m∠7 =331/7°

m∠7 =47.28°

Therefore, the Line t || Line v the  value of angle m∠5  is 69.28° .

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Step-by-step explanation:

\(5. {x}^{3} - xy + {y}^{2} = 4\)

\( \frac{dy}{dx} ( {x}^{3} - xy + {y}^{2} ) = \frac{dy}{dx} (4)\)

\(3 {x}^{2} - x(1) \frac{dy}{dx} + 1(y) + 2y \frac{dy}{dx} \)

Combine the dy/dx.

\( \frac{dy}{dx} ( - x + 2y) + y + 3 {x}^{2} \)

\( \frac{dy}{dx} ( - x + 2y) = - 3 {x}^{2} - y\)

\( \frac{dy}{dx} = \frac{ - 3 {x}^{2} - y}{ - x + 2y} \)

\( \frac{3 {x}^{2} + y }{x - 2y} \)

Answer:

\(\frac{dy}{dx}\) = \(\frac{y-3x^2}{2y-x}\)

Step-by-step explanation:

using the product rule to differentiate - xy then

3x² - (x\(\frac{dy}{dx}\) + y(1) ) + 2y\(\frac{dy}{dx}\) = 0

3x² - x\(\frac{dy}{dx}\) - y + 2y\(\frac{dy}{dx}\) = 0

3x² + \(\frac{dy}{dx}\) (2y - x) - y = 0 (subtract 3x² - y from both sides )

\(\frac{dy}{dx}\) (2y - x) = y - 3x² ← divide both sides by (2y - x)

\(\frac{dy}{dx}\) = \(\frac{y-3x^2}{2y-x}\)

Answer:

n = 0.0224

Step-by-step explanation:

The given expression is :

92n = 404n-7

We need to solve it for n.

Subtract 92n from both sides,

92n-92n = 404n-7-92n

7 = 404n-92n

7 = 312 n

n = 0.0224

So, the value of n is equal to 0.0224.

Answer:

The 10-yard line on a football field

Step-by-step explanation:

A geometric line segment is a straight path of points(that is a line) that has two end points (that is a beginning and an end). A 10 yard line on a football field is a line segment because it has two endpoints which is at the beginning of the 10 yard and at the end of the 10 yard.

A scientist's line of vision as he looks into space with a telescope is not a line segment because it extends forever (has no end).

A line of 15 dancers on stage is not a line segment, A light shone into the darkness is not a line segment because it continues forever and also, the hands of a clock is also not a line segment.

In order to find the minimum and maximum value in the given interval, first let's find the vertex coordinates:

Since the coefficient a is positive, so the y-coordinate of the vertex is a minimum point, therefore the absolute minimum is (4,-48).

Then, to find the maximum, we need the x-coordinate that is further away from the vertex.

Since 0 is further away from 4 than 7, let's use x = 0:

Therefore the absolute maximum is (0,0).

Answer:

Sure

Step-by-step explanation:

What is the question?

The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Answer:

447

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer: B

Step-by-step explanation:

The domin is X and range is Y so that the domin is 1,2,3,4 and range is 2,3,4 we dont take the same number twice

Answer: B.

Step-by-step explanation:

Just took the quiz

Answer:

4 different answers

Step-by-step explanation:

1.

[(24/3) + (5*2^2)] = 28

2.

[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3

3.

[(24/3 + 5)*2^2] = 52

4.

[(3 + 5*2^2)/24] = 23/24

Answer:

Step-by-step explanation:

1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Answer:

The probability of landing on purple is equal to the probability of landing on blue.

This is because each color covers the same number of sections (2 for purple, 3 for blue) and each section has the same size, so the probability of landing on each color is equal.

Probability = Number of successful outcomes / Total number of outcomes

For purple and blue, the number of successful outcomes is the same (2 and 3, respectively) and the total number of outcomes is 8, so the probability of landing on either color is equal.

Probability of landing on purple or blue = 2 / 8 = 3 / 8 = 0.25

Answer:

x/5 = 5280/1

Step-by-step explanation:

this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

22.5

Step-by-step explanation:

∠EAB=2x (alternate interior angles)

∠AEB=180°-4x (linear pair)

Answer:

-3(2x-4)+2<8

-3(2x-4)<6

-6x+12<6

-6x<-6

x=1

-3(2-4)+2<8

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

Answer:

------------------

Simplify in below steps:

Answer: I know simplified it is  -x^2 + 8x + 1

The degree of the simplified expression is 2.

It is a monomial

I am almost positive it is constant.

Hope this helped

:D

Step-by-step explanation: Ps. Sorry if anything is incorrect, math is my worst subject but I am pretty sure everything is correct.

Answer:

u = 12

Step-by-step explanation:

formula : (base x height) / 2

60 x 2= 120

120 / 10 = 12

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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