Calculate the accumulated amount after 3 years, if R5 000 is invested at an interest rate of 10% compounded quarterly?​

Find the Reference Angle (4pi)/7 4π 7 4 π 7 Since the angle 4π 7 4 π 7 is in the second quadrant, subtract 4π 7 4 π 7 from π π.

Thus, [tex]\frac{3\pi }{7}[/tex] is your answer

Answer:

see below

Step-by-step explanation:

-2> x ≥ -7    can be written as   -7 ≤ x < -2

Answer: 22

Step-by-step explanation:

    See attached. The box-and-whisker plot gives us all the information we need to solve.

Minimum: 13

Maximum: 35

Range: 22

-> 35 - 13 = 22

Median: 20.5

Answer:

The volume is about 1,128.88 cubic cm.

Step-by-step explanation:

[tex] \frac{1}{3} \pi( {7}^{2} )(22) = 1128.88[/tex]

Answer:

Problem 20: [tex]m[/tex] = [tex]2[/tex]

Problem 21: [tex]m[/tex] = [tex]-2[/tex]

Problem 22: [tex]m[/tex] = [tex]1[/tex]

Problem 23: [tex]m[/tex] = [tex]3[/tex]

Step-by-step explanation:

The formula to find the slope of a line: [tex]m = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex].

Problem 20:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{3-7}{2-4}[/tex]

[tex]m[/tex] = [tex]\frac{-4}{-2}[/tex]

[tex]m[/tex] = [tex]2[/tex]

Problem 21:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{-5-1}{2--1}[/tex]

[tex]m[/tex] = [tex]\frac{-6}{3}[/tex]

[tex]m[/tex] = [tex]-2[/tex]

Problem 22:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{3-7}{-6--2}[/tex]

[tex]m[/tex] = [tex]\frac{-4}{-4}[/tex]

[tex]m[/tex] = [tex]1[/tex]

Problem 23:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{-4-2}{-4--2}[/tex]

[tex]m[/tex] = [tex]\frac{-6}{-2}[/tex]

[tex]m[/tex] = [tex]3[/tex]

*Extra*: The equation of a line is written in this form: [tex]y = mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is [tex]y[/tex]-intercept

Answer:

1 and -5

Step-by-step explanation:

[tex]~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5[/tex]

Answer
5^- 7=X 5^- 9 X = 7 9

Answer:qjs

Step-by-step explanation:

A

X= -7 to 1

Y= -8 to 9

B

X= -40 to 20

Y= -30 to 10

Answer: Both are algebra expressions

Step-by-step explanation:

Lower bound is : 2.70 and upper bound is 3.30

a)There is a 90% probability that the difference of the means is in the interval

b) Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability if the null hypothesis is true.

Given that:

a) [tex]n_1[/tex]=200, [tex]x_1[/tex]=23.9, [tex]s_1[/tex]=4.7

   [tex]n_2[/tex]=200, [tex]x_2[/tex]=18.8, [tex]s_2[/tex]=4.5

The (1-α )% confidence interval for the difference between two mean is:

CI= [tex]x_1-x_2\pm\; t_\frac{\alpha }{2},(n_1+n_2-2\sqrt{\frac{s_1^{2}}{n_1}+\frac{s_2^{2}}{n_2} }[/tex]

the Critical value of 't' will be:

α/2=0.05/2=0.025

Degrees of freedom = [tex]n_1+n_2\\[/tex]-2= 200=200-2=398

[tex]t_{\alpha /2,_(n_1+n_2-2)}= t_{0.025,398}[/tex]=1.96

CI=23.9-18.8±1.96 [tex]\sqrt{\frac{4.7^{2}}{200}+\frac{4.5^{2}}{200} }[/tex]

   = 3±0.3089

   = (3.3089,2.6911)

   ≈(3.30, 2.70)

Thus, 90% confidence interval (3.30, 2.70) implies that the true mean difference value is contained in the interval with probability 0.90.

The Lower bound is : 2.70 and upper bound is 3.30

Thus, There is a 90% probability that the difference of the means is in the interval.

b)The difference between means, null value is 0.

As the null value is 0 and not in the interval, which shows that there is a difference between the two means, concluding that priming does have an effect on scores.

Hence,  Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

Learn more about this concept here:

https://brainly.com/question/16089384

#SPJ1

Answer:

327.5

Step-by-step explanation:

Answer:

181.06

Step-by-step explanation:

Answer:

T=(5×n)+500

Step-by-step explanation:

T=Total Stamps

In this case, there is no need to find the answer. All you need is the equation. N would be the multiplier in this case because it's the one that's changing since you're using a variable. If 3 weeks were to pass, then N would equal 3 weeks.

Answer:

2715 bacteria

Step-by-step explanation:

This is a simple exponential function. We are given that the initial value is 30, that the value doubles every 4 hours.

Thus, we have our function: [tex]y=30*2^{x/4}[/tex]

Plugging in 26 for x, we get 2715.29004 => 2715 bacteria.

The sampling method that would be most likely to result in self-selection bias is given by:

D. handing out a questionnaire to seniors only

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, in option D, only seniors are involved, that is, it does not involve all segements, hence it would be most likely to result in self-selection bias.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1

Answer: C. handing out a questionnaire to students leaving campus at lunchtime

Step-by-step explanation:

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The Margin of error in this survey is 1%.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

The random sample of 2500 sports fans, out of which 61% prefer basketball over soccer, therefore, we can write n=2500 and p=0.61. Thus, the margin of error can be written as,

[tex]MOE=\sqrt{\dfrac{\hat p(1-\hat p)}{n}} = \sqrt{\dfrac{0.61(1-0.61)}{2500}} = 0.00975 = 0.975\% \approx 1\%[/tex]

Hence, the Margin of error in this survey is 1%.

Learn more about Margin of Error:

https://brainly.com/question/13990500

#SPJ1

Answer:

Step-by-step explanation:

EH=w

then it is as simple as pluggin in

gh=4(eh)-51

Answer:

1 11/64 inches

Step-by-step explanation:

Total thickness

Answer:

Mixed Doubles Tennis

Step-by-step explanation:

The key word is "mixed." In this case it means a male and female competitor

Step-by-step explanation:

[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \error \\ \madeindonesia[/tex]

Answer:Which four inequalities can be used to find the solution to this absolute value inequality?3+2|x-11 <9

2(x - 1) <-3

x-1 <9

X-1 >-9

-2(x - 1) > 3

x-1-3

X-1 <3

Step-by-step explanation:

There is no document, so nobody could answer.

Answer:

935

Step-by-step explanation:

Let's solve the rectangle first.  We are dividing this figure into two sepreate shapes, can you see that?

-

1/2*B*h

630

-

Now for the other shape.

Volume = 315

630+315=935

Answer: 1323

Step-by-step explanation: took test with proof and more

Answer:

x² - 22x + y² - 6y + 121 = 0

Step-by-step explanation:

General Form of Equation

Solving

Answer:

(x+11)2+(y−3)2=81

mark me brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation

The roots are

Substitute values into equation

This is matching the option B

Answer:

[tex]x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]x^2-3x-5=0[/tex]

To find the exact solutions of the given equation, use the quadratic formula or complete the square.

Method 1:  Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Therefore:

[tex]a=1, \quad b=-3, \quad c=-5[/tex]

Substituting these values into the formula:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Method 2:  Completing the square

Move the constant to the right side by adding 5 to both sides:

[tex]\implies x^2-3x-5+5=0+5[/tex]

[tex]\implies x^2-3x=5[/tex]

Add the square of half the coefficient of x to both sides:

[tex]\implies x^2-3x+\left(\dfrac{-3}{2}\right)^2=5+\left(\dfrac{-3}{2}\right)^2[/tex]

[tex]\implies x^2-3x+\dfrac{9}{4}=\dfrac{29}{4}[/tex]

Factor the perfect trinomial on the left side:

[tex]\implies \left(x-\dfrac{3}{2}\right)^2=\dfrac{29}{4}[/tex]

Square root both sides:

[tex]\implies \sqrt{\left(x-\dfrac{3}{2}\right)^2}=\sqrt{\dfrac{29}{4}}[/tex]

[tex]\implies x-\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}[/tex]

Add 3/2 to both sides:

[tex]\implies x-\dfrac{3}{2}+\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}+\dfrac{3}{2}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Learn more about completing the square here:

https://brainly.com/question/27933930

Answer:

172

Step-by-step explanation:

Formula to find the nth term =

a+(n-1)d

2+(35-1)*5

= 2+170

= 172

Answer:

b d e a im not fore sure tho

Step-by-step explanation: