Can someone pls help me? I’m confused!

Answer:

The rate is 6.94 %

Step-by-step explanation:

Given;

Amount borrowed by Fred to  start up the e-commerce, P = 15000

time of investment, t = 12 years

interest, I = 18000

The rate is given by the following equation;

P = IRt

R = P / It

where;

R is the rate

P is the principal

I is the interest

t is the time

R = (15000) / (18000 x 12)

R = 0.0694

R = 6.94 %

Therefore, the rate is 6.94 %

Answer:

Kevin cycles past his mum who is sitting on a park bench. What is the relative speed if Kevin is cycling at 20 km/h?

Step-by-step explanation:

20 km/h

The trigonometric ratios used to find the lengths of the sides of the given right triangles are;

\(\displaystyle sin(30^{\circ}) = \mathbf{\frac{1}{2}}\)

\(\displaystyle cos(30^{\circ}) = \mathbf{\frac{\sqrt{3} }{2}}\)

\(\displaystyle sin(60^{\circ}) = \mathbf{\frac{\sqrt{3} }{2}}\)

\(\displaystyle cos(30^{\circ}) = \mathbf{\frac{\sqrt{3} }{2}}\)

1. The given triangle is a right triangle, and one of the interior angles is 45°, we have that the length of the legs are equal

Therefore, x = 13

By Pythagorean theorem, we have;

y = √(13² + 13²) = 13·√2

2. x = y

30² = x² + y² = 2·x²

x = √(30² ÷ 2) = 15·√2 = y

\(3. {} \hspace {0.3 cm}\displaystyle cos(60^{\circ}) = \frac{1}{2} = \mathbf{\frac{3}{x}}\)

x = 3 × 2 = 6

y = √(6² - 3²) = 3·√3

\(4. \ \displaystyle sin(30^{\circ}) = \frac{1}{2} = \mathbf{\frac{y}{34}}\)

34 = 2·y

y = 17

x = √(34² - 17²) = 17·√3

5. x = y

10·√2 = √(x² + y²) = √(x² + x²) = x·√2

Therefore; x = 10 = y

\(6. {} \hspace{0.75cm} \displaystyle \frac{25 \cdot \sqrt{3} }{x} = \mathbf{\frac{\sqrt{3} }{2}}\)

2 × 25·√3 = x·√3

x = 50

\(\displaystyle \frac{y}{50} = \frac{1}{2}\)

y = 25

7. x = y

x·√2 = 2·√14

x = √2·√14 = √28 =  2·√7 = y

\(8. {} \hspace{0.75cm} \displaystyle \frac{24 }{x} = \frac{\sqrt{3} }{2}\)

48 = x·√3

x = 16·√3

y = 8·√3

9. x = 22·√3 ÷ 2 = 11·√3

y × 2 = √3 × 22·√3 = 66

y = 66 ÷ 2 = 33

10. y = 2  × √6 = 2·√6

2·x = √3 × 2·√6

x = √3 × √6 = 3·√2

11. x = √10

y = √(10 + 10) = 2·√10

12. 4·√(21) × 2 = y·√3

y = 8·√7

x = 4·√7

13. √3 × 34 = x × 2

x = 17·√3

z = 34

y = 34·√2

14. x × √3 = 27 × 2

x = 3 × 9 × 2 ÷ √3 = 18·√3

y·√3 = 9·√3 × 2

y = 18

z = 9

15. x = 14·√2

y = 7

z × 2 = 14 ×√3

z = 7·√3

16. x = 8·√3

16·√3 × √3 = a × 2

a = 24 (The length of the side common to both triangles)

z = y

Therefore;

y·√2 = 24

y = 24 ÷ √2 = 12·√2 = z

17. z = 39·√2

x·√3 = 39 × 2

x = 26·√3

y = 13·√3

18. z·√2 = 20

z = 10·√2

x × √3 = 10 × 2

x = 20 ÷ √3

\(\displaystyle x = \frac{20}{\sqrt{3} } = \underline{\frac{20 \cdot \sqrt{3} }{3}}\)

y = 10 ÷ √3

\(\displaystyle \underline{ y = \frac{10 \cdot \sqrt{3} }{3}}\)

19. x = 6

y = 12

z = 12·√2

20. z·√2 = 10·√6

z = 5·√12

x = 10·√12

y = 10·√12 × √3 ÷ 2 = 30

21. 4·√15 × 2 = s×√3

s = 8·√5

s = The length of one side of the equilateral triangle (all angles are 60°)

The perimeter of the equilateral triangle = 3 × s = 3 × 8·√5 = 24·√5

22. s·√2 = 28

s = The length of a side of the square

s = 14·√2

The perimeter = 4 × 14·√2 = 56·√2

23. The length of the ramp = 2 × 37.5 inches = 75 inches

75 inches = 75 inches ÷ 12 inches/feet = 6.25 feet

24. The length of the sides of the infield of the baseball field = 90 feet

The distance from third to first base = The diagonal of the infield = 90·√2 ft.

The horizontal speed of the ball, v = 90·√2 ft. ÷ 1.2 s =  75·√2 ft./s

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Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

The required value of h(9) must be 40 which is the correct answer would be option (3).

The function h(x) has an average rate of change of 7 on the interval 5 ≤ x ≤ 9. This means that, on average, the output of the function increases by 7 for every unit increase in the input.

We are given that h(5)=12, which means that the function has an output value of 12 when the input is 5.

To find the value of h(9), we can use the average rate of change to calculate the expected increase in the function's output over the interval 5 ≤ x ≤ 9.

Since the average rate of change is 7, we expect the function's output to increase by 7 × (9-5) = 28 over this interval.

So, the expected value of h(9) is:

⇒ 12 + 28 = 40.

Therefore, the required value of h(9) must be 40.

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The probability that a red card is drawn at least once by the third draw is 0.88.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.

In a standard 52 card deck the red cards are 26.

So,

P(red) =  n(red cards) / n(total cards)

          = 26 / 52

P(red) = 0.50

Now, X ≈ Bin (n = 3, P = 0.50)

P(X = x) = (n  x) p^x (1 - p)^n-x

(n  x) = \(\frac{n!}{x!(n-x)!}\)

P(X ≥ 1) = 1 - P(X < 1)

            = 1 - P(X = 0)

            = 1- (3  0)(0.5)^0(0.5)^3

            = 1 - 0.125

             = 0.875

P(X ≥ 1)  = 0.88

Hence, the probability that a red card is drawn at least once by the third draw is 0.88.

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25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

6x-30

Step-by-step explanation:

you use distribution

Answer: 6x -30

Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.

Answer:

e(x)

Step-by-step explanation:

i think this is the answer

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

its 2 all of those are in the 2 time tables unwelcome

Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.

Step-by-step explanation:

When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Answer:

They ordered 432 bottles of water

Step-by-step explanation:

1 multipack = 6 bottles

3 multipacks = 1 box

24 boxes = 24 (3 multipacks)

24 boxes = 72 multipacks

72 multipacks = 72 (6 bottles)

72 multipacks = 432 Bottles

The standard deviation of the given series of ACT scores is approximately 4.90.

To calculate the standard deviation of a series of ACT scores, you need to follow a few steps.

First, find the mean of the scores by adding them up and dividing by the total number of scores.

In this case, the mean is (32 + 20 + 18 + 21 + 24) / 5 = 23. Next, calculate the deviation of each score from the mean by subtracting the mean from each individual score.

The deviations are: 9, -3, -5, -2, 1. Then, square each deviation to eliminate negative values and find the variance. The squared deviations are: 81, 9, 25, 4, 1.

Compute the average of these squared deviations, which gives the variance: (81 + 9 + 25 + 4 + 1) / 5 = 24.

Finally, take the square root of the variance to obtain the standard deviation: √24 ≈ 4.90.

Therefore, the standard deviation of the given series of ACT scores is approximately 4.90.

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Given parameters:

  This is a word problem. To solve problems, it is best to interpret sentence by sentence;

   Six more than a number doubled;

      let the number  = y ;

      so  we have 2(y + 6)

    equal    =

     twice a  number plus three;

      let the number be Z;

           2Z + 3

The complete expression is thus;       2(y + 6) = 2Z + 3

Answer:

the leftover piece of ribbon is 5 3/4 feet long.

Step-by-step explanation:

if she has 7 1/2 feet of ribbon, and she removes (by cutting it off) 1 3/4 feet of ribbon.

So, if we set up this scenario like a math problem, we can write it as this:

7 1/2 feet of ribbon - 1 3/4 feet of ribbon = remaining ribbon

[ - = take away]

so, we are solving the equation:

7 1/2 - 1 3/4

To solve this, it is easiest to make the fractions have the same denominators

1 / 2 is equal to 2 / 4

However, 2/4 is less than 3/4, so we need to make this fraction a larger number.

To do this, we can take away 1 foot from the 7, and write it as if it were fourths

1 [foot] = 4/4 quarter foot

So, we can add 4/4 + 2/4 = 6/4

Now, we can re-write our situation.

6 6/4  -   1 3/4 = left over ribbon

   6      6/4

-   1       3/4

__________

   5      3/4

So, the leftover piece of ribbon is 5 3/4 feet long.

Hope this helps!

Answer:

50$+40$

40$+50$

Step-by-step explanation:

An expression to represent the total cost for photography in a wedding in two different ways are 50+40x+15y and 50+40p+15a.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, wedding photographer and their assistant work together to photograph weddings.

$50 is sitting fee, $50 sitting fee, $40 per hour for photographer's time and  $15 per hour for assistants time.

Let the number of hours photographer spent be x and the number of hours assistants spent be y.

So, the total cost for photography

50+40x+15y

Let the number of hours photographer spent be p and the number of hours assistants spent be a.

50+40p+15a

Therefore, an expression to represent the total cost for photography in a wedding in two different ways are 50+40x+15y and 50+40p+15a.

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Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

Answer: The answer is the first choice, <L = <P

Step-by-step explanation:

There are two triangles.

Triangle LMN

         and

Triangle PQR

If both of these triangles are congruent then that must mean that:

<L = <P

<M = <Q

<N - <R

Hope this helps!!

Answer:

0.9225 = 92.25% probability that two or more internship trained candidates are hired.

Step-by-step explanation:

Candidates are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Group of 13 individuals:

This means that \(N = 13\)

6 candidates are selected:

This means that \(n = 6\)

6 in trained internships:

This means that \(k = 6\)

Find the probability that two or more internship trained candidates are hired.

This is:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which

\(P(X < 2) = P(X = 0) + P(X = 1)\)

So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041\)

\(P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734\)

\(P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775\)

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225\)

0.9225 = 92.25% probability that two or more internship trained candidates are hired.

The table can be filled with the following words.

1. Represent - to be an example or symbol of something.

2. Apex -the point (vertex) farthest from the base of a pyramid.

3. Height - the vertical distance from the base to the top of a plane figure or three-dimensional figure.

4. Lateral face - any face (side) of a prism or pyramid that is not a base.

5. Pyramid - a solid object whose base is a polygon, sides are straight and the triangles meet at the top.

6. Volume - the measure of the amount of space occupied by a three-dimensional solid object.

An apex is the highest point that is measured from a base. For many pointed objects, it is usually easy to get the apex by determining the farthest point.

The height of an object is not to be confused with the apex because the height measures the distance from the base to the top of the object in question.

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Answer:

B

Step-by-step explanation:

Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.

The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.

As this course is shaped like a parallelogram, the total length would therefore be:

= Base + Base + Length + Length

Solving gives:
= 3 + 3 + 2 + 2

= 6 miles

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Answer: i believe its true

Step-by-step explanation:

Answer:

The radius is 8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

Assuming you mean 320 pi for the volume

320  pi = pi r^2 ( 5)

320 =5pi r^2

Divide each side by 5pi

320 pi / 5pi = 5 pi r^2 / 5pi

64 = r^2

Take the square root of each side

sqrt(64) = sqrt(r^2)

8 = r

The radius is 8 inches

Answer:

\(\Huge \boxed{\mathrm{4.51 \ inches}}\)

\(\rule[225]{225}{3}\)

Step-by-step explanation:

\(V=\pi r^2 h\)

The volume is 320 in³.

The height is 5 in.

\(320=\pi r^2 * (5)\)

Solving for \(r\).

Dividing both sides by 5.

\(64=\pi r^2\)

Dividing both sides by \(\pi\).

\(20.371833=r^2\)

Taking the square root of both sides.

\(r= 4.513517\)

The radius is 4.51 inches.

\(\rule[225]{225}{3}\)