Which of the following number lines represents the inequality given below.
please help

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.

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Answer:

x<6

Step-by-step explanation:

The Product(multiplication) of -2 and a number(x) minus(-) six IS(=) greater than(>) -18.

Which gives you: -2x-6>-18

First step is to get the -2x by itself so we add 6 to both sides.

-2x>-12

We then want to get x by itself so we divide by -2 on both sides. Don't forget to flip the inequality sign because we are dividing by a negative.

x<6

The length of the arc on a circle of mentioned radius intercepted by the central angle is 3π feet.

The formula to calculate the arc angle from radius and central angle is simply by finding their product. The formula for arc length is -

S = r×theta, where r is radius and theta is the central angle

Now we are given angle in degree and we need to convert it in radian. So the formula is -

Central angle = 60 × π/180

Central angle = π/3 radians

Keep the values in formula

S = 9 × π/3

Performing division

S = 3π

Thus, the arc length is 3π.

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9514 1404 393

Answer:

  x = 50

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°.

  130° + x° + 30° + 100° + x° = 360°

  2x° = 100° . . . . . . . . . subtract 260° and collect terms

  x = 50 . . . . . . . . divide by 2°

_____

Additional comment

If you reduce each side length to nothing, then you find the angles are measured around a central point. It becomes more clear that their sum is 360°.

Step-by-step explanation:

note A- b = A n B

so, ( A n B ) = ( 3, 4 )

( A n B )' = ( 0,1,2,5,6,7)

Miguel will need to deposit approximately $3,261.25 into the annuity each year for 8 years in order for the annuity to have a total value of $24,000.

What is the annuity?

An annuity is a contract between you and an insurance company that requires the insurer to make payments to you, either immediately or in the future. You buy an annuity by making either a single payment or a series of payments.

We can use the formula for the future value of an annuity:

FV = PMT * \(((1 + r)^n - 1) / r\)

where FV is the future value, PMT is the regular payment, r is the interest rate per compounding period, and n is the number of compounding periods.

In this problem, we want to solve for PMT, given that FV = $24,000, r = 6.6%, n = 8, and payments are made at the end of each year.

First, we need to calculate the interest rate per year, since the annuity is compounded annually:

i = r / 100 = 6.6% / 100 = 0.066

Next, we can plug in the values and solve for PMT:

24000 = PMT *\(((1 + 0.066)^8 - 1) / 0.066\)

24000 = PMT * 7.3605

PMT = 24000 / 7.3605

PMT ≈ $3,261.25

Hence, Miguel will need to deposit approximately $3,261.25 into the annuity each year for 8 years in order for the annuity to have a total value of $24,000.

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Answer:

Step-by-step explanation:

Y = (-116)(51)(-2)

Y = (-116) × (51) × (-2)

Answer:

7 7/12

Step-by-step explanation:

The probability that both male and female are non-smokers is 0.56.

Given that, at a local college, 198 of the male students are smokers and 792 are non-smokers.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Number of male smokers=198

Number of male non-smokers=792

Total number of male smokers=198+792

= 990

Number of female smokers=330

Number of female non-smokers=770

Total number of female smokers=330+770

= 1100

Probability that both are non-smokers is given by

P(both are non-smokers ) = P(Male non-smoker) × P(female non-smoker)

= 792/990 × 770/1100

= 0.8 × 0.7

= 0.56

Therefore, the probability that both male and female are non-smokers is 0.56.

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Answer:

400000

Step-by-step explanation:

Answer:

12.2%

Step-by-step explanation:

The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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Answer:

Step-by-step explanation:

Answer:

sdefrtghgg

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

{y,x}={-7,-3}

Answer:

x=-7, y=3

Step-by-step explanation:

x-5y=-22

-4x+5y=13

Solve first equation for X

x=-22+5y

Sub in for X in the second equation

-4(-22+5y)+5y=13

88-20y+5y=13

88-15y=13

-15y=-75

15y=75

y=3

Sub in y

x=-22+5*3

x=-7

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

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 student will get 1/3 tube of glue. We can find it by dividing the total number of students by the number of tubes of glue.

We obtain equal shares when we divide a whole or a collection of things into equal portions. To distribute anything evenly, we must split an item or a full number into equal pieces. These equal portions must have the same weight, volume, size, number, and other measurements. Each share or group has the same amount of objects when the shares are equal. Depending on how many shares or sections we wish to construct, there are several approaches to getting equal shares.

Given,

Number of students = 3

Number of tubes of glue = 1

Let n is the number of shares,

n = Number of students/ Number of tubes of glue

n = 1/3

Hence, the student will get 1/3 tube of glue.

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Answer:

12.10 pm

Step-by-step explanation:

just take the 45 minutes she uses to bake and add to the time she starts

11.25 a.m+45

12.10 pm

Answer:

in ABC,if<B=90,then AB^2+BC^2=AC^2

Step-by-step explanation:

the third option

i did that khan assignment

The appropriate rephrase statement to proof the Pythagorean theorem is

In ΔABC , if ∠B = 90°, then AB² + BC² = AC²

Pythagoras's theorem is used to calculate the sides of a right angle triangle. The formula is represented as follows

where

c = hypotenuse

a and b are either adjacent or opposite sides of the triangle.

A right angle triangle is a triangle that has one angle as 90°. Therefore, from the triangle below, the appropriate rephrase statement to proof Pythagoras theorem is as follows:

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The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer:

25

Step-by-step explanation:

formula for triangle is (b*h)/2=A

Answer:

1239.1

Step-by-step explanation:

x + y = z

x = 789.4 (your money)

y = 449.7 (Your mom's money)

z = Total amount of money.

789.4 + 449.7 = z

789.4 + 449.7 = 1239.1

z = 1239.1

Answer:

4.5 quarts, because one cup is 0.25 quarts

Step-by-step explanation:

C. (-2, 2) and  (1, -1)

Since the point of intersection is the sole location where the two graphs come together, the coordinates of that location provide the answer to the equations involving the two variables. There are no solutions when the graphs are in parallel.

Given, the parabola Y = X² -2 and a line Y = -X. To find the intersection points of this graph we need to compare these equations.

Let's put the value of y in equation 1

- X = X²  - 2

X²  + X - 2 = 0

The factor of this quadratic equation is -2 and 1. Therefore the coordinate in which both graphs will intersect is (-2, 2) and  (1, -1). I am attaching an image for better understanding.

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Answer:

1/4

Step-by-step explanation:

to find the ratio:

3/12 : (3/4)/3

1/4 : 1/4

term2/ term1 : term2/term3

The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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The answer is 0.471 radians.

FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.