I NEED HELP WITH STATISTICS

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

For such more questions on present value

https://brainly.com/question/30390056

#SPJ8

We need to divide the number of foot of scarf knitted by the number of time, in hours, taken.

Answer:

X = 5

Step-by-step explanation:

28 = 7x + 3 - 2x

28 = 5x + 3

28 - 3 = 5x + 3 - 3

25 = 5x

25/5 = 5x/5

X = 5

Answer:

X = 5

Step-by-step explanation:

1. Combine like terms.

2. Subtract 3 from both sides.

3. Simplify.

4. Divide both sides of the equation by the same term.

5. Simplify.

Hope this helps!

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

The given statement is false: vertical angle do not depend on the line being parallel. A pair of vertical angles are always congruent.

Vertical angle:

Vertical angle means that the angles opposite each other when two lines cross.

Given,

Here we have the diagram and we also know that angle 7 is congruent to angle 5.

Now we need to find the given statement is true or not.

Through the given diagram, we have identified that, the eight angles will together form four pairs of corresponding angles.

Angles 1 and 5 constitutes one of the pairs.

We know that all the corresponding angles are congruent.

All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Through that we know that basically, the vertical angles are always congruent, which means that they are equal. So, it is not necessary for them to be parallel.

To know more about Vertical angle here.

https://brainly.com/question/24460838

#SPJ1

Answer:

See below

Step-by-step explanation:

\( \frac{1}{4} \times \frac{900}{1} \\ \\ = \frac{1 \times 900}{4 \times 1} \\ \\ = \frac{900}{4} \\ \\ = \frac{9 \times \cancel {100} }{\cancel4} \\ \\ = 9 \times 25 \\ \\ = 225\)

Answer:

four of 225 makes 900/1, or 900. So, one 225 should be one of the four 225s that equal 900. 1/4 × 1/900, or 1/4 of 900, should be 225.

Answer:

Mean = 174

Median = 165

Mode = 150

Range = 100

Mid-range= 165-150= 15

1) only few population of the celebrities have high net-worth

2) very low precision as their is a wide range in the variation of their net worth

Step-by-step explanation:

250 200 185 175 165 165 150 150 150 150

Arranged in ascending order =

150 150 150 150 165 165 175 185 200 250

Mean = (150+ 150 +150 +150 +165 +165 +175+ 185 +200 +250)/10

Mean = 1740/10

Mean = 174

Median =( 165+165)/2

Median = 165

Mode = 150

Range = 250-150

Range = 100

Mid-range= 165-150= 15

1) only few population of the celebrities have high net-worth

2) very low precision as their is a wide range in the variation of their net worth

Answer:

1.

a = 1.96

( 1.4 x 1.4)

b= 3750

c= 1/48

2.

a= 2?

dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.

b= 3

c= 16-4a

( IM NOT SO CONFIDENT ABOUT 2)

3.

a= 17

b= ( 2squared - 1)

Step-by-step explanation:

Answer:

thank you for the points bozzo

Answer:

29x/20 - 5

Step-by-step explanation:

1/4x - 5 + 1.2x​

=> 0.25x - 5 + 1.2x

=> 1.45x - 5

=> 29x/20 - 5

Therefore, this is the simplified form: 29x/20 - 5

The height of the building can be  649.44 ft

What is angle of elevation ?

angle of elevation states that the angle which is formed between line of sight and horizontal line.

Given,  the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.

height of the building is an unknown variable (x) .

tan(angle) = opposite length /adjacent length.

Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.

tan(4º) = x / 1.75

rearrange for x

x = 1.75*tan(4º) = ~1.75*0.0699  miles.

x = ~0.123

Now to get feet, just multiply by 5,280 ft in one mile

Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft

Hence , The height of the building can be  649.44 ft .

To learn more about Angle of elevation from the given link.

https://brainly.com/question/27702971

#SPJ1

Answer: The graph is

The graph is plotted and attached.

A function is a law that relates a dependent and an independent variable.

The function is y = 3/4 x + 5

The slope of the line is (3/4)

and the y intercept is 5.

The graph is plotted and attached with the answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ2

Answer:

height = 7 ft

base = 18 ft

Step-by-step explanation:

Area of a Triangle

\(\sf A=\dfrac{1}{2}bh\)

where:

If the base of the triangle is 4 feet more than twice its height, then:

Substitute the given area and the found expression for b into the formula and solve for h:

\(\begin{aligned}\sf A & = \sf \dfrac{1}{2}bh\\\implies \sf 63 & = \sf \dfrac{1}{2}(2h+4)h\\\sf 126 & = \sf (2h+4)h\\\sf 126 & = \sf 2h^2+4h\\\sf 2h^2+4h-126 & = \sf 0\\\sf 2(h^2+2h-63) & = \sf 0\\\sf h^2+2h-63 & = \sf 0\\ \sf h^2+9h-7h-63 & = \sf 0\\ \sf h(h+9)-7(h+9) & \sf = \sf 0\\\sf (h-7)(h+9) & = \sf 0\\\implies \sf h& = \sf 7, -9\end{aligned}\)

As length is positive, h = 7 ft.

Substitute the found value of h into the expression for b and solve for b:

\(\begin{aligned}\sf b & = \sf 2h+4\\\implies \sf b & = \sf 2(7)+4\\& = \sf 14+4\\& = \sf 18\end{aligned}\)

Therefore, b = 14 ft.

Answer:

Step-by-step explanation:

Each bracelet need 7 inches of string. Jenna has a total of 16 feet of string.

Divide the total amount of string by the number of inches needed for each bracelet.

Step 1: Convert 16 feet into inches. 12 inches = 1 foot

16 feet x (12 inches/1 foot) = 192 inches

This is the total inches of string.

Note that feet and foot units cancel and you are left with inches.

Step 2: Find the number of bracelets that can be made. Use the answer from step 1. Each bracelet needs 7 inches of string.

Total inches of string / 7 inches of string for each bracelet

192 inches / 7 inches = 27.4

Round the answer to 27.

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Answer:

1.45cm

Step-by-step explanation:

I just added

A square of the length of the sides are:

The upper bound is  7.6.

The lower bound is 7.4

The area of the square:

The value of upper bound is :

\(7.6^2 = 54.76 cm^2\)

The value of lower bound is:

\(7.4^2= 57.76cm^2\)

We have the following information from the question is:

A square has sides of 7.5 cm, measured correctly to 1 d. p.

We have to calculate the Upper and lower bounds for the length of the sides.

and, the lower and upper bounds for the area of the square.

Now, According to the question:

1 d. p. = 1 decimal place.

A square has side is 7.5 cm

The upper bound is going to be 7.5 plus . 1, which would be 7.6.

The lower bound is going to be 7.5 minus . 1, which is going to be 7.4

Now, The lower and upper bounds for the area of the square is:

We know the

area of square = side^2

So, the value of upper bound is 7.6

\(7.6^2 = 54.76 cm^2\)

Similarly, The value of lower bound is:

\(7.4^2= 57.76cm^2\)

Learn more about area of square at:

https://brainly.com/question/33403734

#SPJ3

Answer:

C

Step-by-step explanation:

It does not belong because like the other ones it is not side ways, as well as it's common sense.

Answer: 40

Step-by-step explanation: It is going up by a constant of 9, so 31 + 9 = 40.

Answer:

10x^2 -4x +6

Step-by-step explanation:

The area of the blue square is

2* 5x^2 = 10x^2

The area of the pink square is

2 * -2x = -4x

The area of the green square is

2 *3 = 6

Add it all together

10x^2 -4x +6

Answer:

x = 1

Step-by-step explanation:

5(2x - 8) + 15 = -15

First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.

5(2x - 8) + 15-15 = -15-15

5(2x-8) + 0 = -30

5(2x-8) = -30

Now let's expand that first term.

5(2x)-5(8) = -30

10x - 40 = -30

Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.

10x - 40 + 40 = -30 + 40

10x -0 = 10

10x = 10

Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.

10x/10 = 10/10

x = 1

The answer is x = 1.

Let's check if our answer is correct!

Original equation: 5(2x - 8) + 15 = -15

Substitute 1 for x.

5(2*1-8) + 15 =

5(2-8) + 15 =

5(-6) + 15 =

-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.

Answer:

x = 9 , y = 12

Step-by-step explanation:

Solve the following system:

{4 y - 5 x = 3

x = 2 y - 15

Hint: | Perform a substitution.

Substitute x = 2 y - 15 into the first equation:

{4 y - 5 (2 y - 15) = 3

x = 2 y - 15

Hint: | Expand the left-hand side of the equation 4 y - 5 (2 y - 15) = 3.

4 y - 5 (2 y - 15) = 4 y + (75 - 10 y) = 75 - 6 y:

{75 - 6 y = 3

x = 2 y - 15

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{75 - 6 y = 3

x = 2 y - 15

Hint: | Isolate terms with y to the left-hand side.

Subtract 75 from both sides:

{-6 y = -72

x = 2 y - 15

Hint: | Solve for y.

Divide both sides by -6:

{y = 12

x = 2 y - 15

Hint: | Perform a back substitution.

Substitute y = 12 into the second equation:

{y = 12

x = 9

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 9 , y = 12

Answer:

x ≤ 5

Step-by-step explanation:

20 ≥ 5 + 3x

20 - 5 ≥ 3x

3x ≤ 15

x ≤ 5

Answer:

\(\sqrt{97} \\ \sqrt{9^{2}+4^{2} }\)

Step-by-step explanation:

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

En el enunciado tenemos el precio de una impresora para el consumidor, el cual comprende el dinero invertido por vendedor más la ganancia esperada. Este indicador observa la siguiente fórmula:

C' = C · (1 + r/100)     (1)

Donde:

Si sabemos que C' = $ 285.000 y r = 35 %, entonces el coste asumido por el vendedor es:

285.000 = 1,35 · C'

C' ≈ 211.111,11

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

Para aprender más sobre ganancias: https://brainly.com/question/8421949

#SPJ1

Answer:

The second one

Step-by-step explanation:

The area of a parallelogram = base length times height

If the parallelogram has a height of 4 and a base length of 9 then the area = 4 * 9

Answer:

The answer is: A= 4 x 9

Step-by-step explanation:

Answer:

If we use point P as point Q and point R as point S, the answer would be:

Point Q = (-7,2)

Point S = (-3,6)

Step-by-step explanation:

Hope this helps