Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another R1 323,00 in eight months’ time. She could not make the payment five months ago, but after receiving a bonus at work, she rescheduled to repay the loan in two equal payments, the first due in two months and the second due in five months’ time. The payment at month five will settle the debt, therefore, the settlement date is month five. The debts and payments are subject to the same interest rate of 11,4% per annum, compounded monthly.

Answers

Answer 1

The discount factor computed shows that the value of each payment will be $1546.

How to calculate the payment?

The following can be deduced from the information:

Payment due in 5 months = $1684

Payment due in 8 months = $1323

Annual interest  = 11.40%

Monthly interest rate = 11.40%/12 = 0.95%

Present value of payment due 5 months ago = $1684 + (1 + 0.95%)⁵ = $1765.52

Present value of payment due 8 months ago = $1226.62

Total present value = $1765.52 + $1226.62 = $2992.14

After rescheduling, the payments will be in 2 months and 5 months.

Discount factor for payment due in 2 months = 0.9813

Discount factor for payment due in 5 months = 0.9538

Combined discount factors= 0.9360

Therefore, the value of each payment will be:

= $2992.14/(1 + 0.9360)

= $1546

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Related Questions

You and your friend start a typing class at the same time. You measure your speed weekly in words per minute (WPM) on a class chart. If the trend continues, after how many weeks can you expect to type as quickly as your friend? What will that WPM be?


A. 6 weeks;28 WPM

B. 6 weeks; 31 WPM

C. 7 weeks;31 WPM

D. 7weeks;34 WPM

Answers

Answer:

The correct answer is 7 weeks 34 WPM

Step-by-step explanation:

The number of weeks and words typed will be D. 7weeks;34 WPM

Based on the information given, the formula to calculate my words per minutes = 13 + 3n

The formula to calculate my friend's words per minutes = 20 + 2n

Therefore, we'll equate both equations together and this will be:

13 + 3n = 20 + 2n

Collect like terms

3n - 2n = 20 - 13

n = 7.

Therefore, the WPM will be:

= 13 + 3n

= 13 + 3(7)

= 13 + 21

= 34

The number of weeks and words typed will be 7weeks;34 WPM

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An object is moving at a speed of 6 miles per month. Express this speed in feet per hour

Answers

Answer:

44 feet/hour

Step-by-step explanation:

6mi/month(5280ft/1mi)(1month/30days)(1day/24hrs)

Assuming the month has 30 days, object moves at 44 feet/hour. You want all the units to cancel till you get the ones you need, in this case feet/hr.

What is the least common denominator for 2/7 & 9/10

Answers

7 is prime so the least common denominator is 7 times 2 times 5 which is 70.

Check all of the irrational numbers.

Answers

Answer:

√36, √17, 0.33333...., 1.2874....

Step-by-step explanation:

irrational numbers - a number that cannot be exactly expressed as a ratio of two integers.

Triangles ABC and DEF are shown above. Write ratio equal to BC/AB.
Which trigonometric ratio does this represent?

Answers

Answer:

Step-by-step explanation:

From the picture attached,

From ΔABC,

m∠B = 180° - (m∠C + m∠A)

        = 180° - (90° + 32°)

        = 180° - 122°

        = 38°

Now we have to find the trigonometric ratio of BC and AB from ΔABC,

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(32°) = [tex]\frac{BC}{AB}[/tex]

[tex]\frac{BC}{AB}=0.53[/tex]

Therefore, ratio of BC and AB represents the "sine of angle A".

in 3 1/2 months John collected a debt of $70.00. What was the average amount of debt John collected per month?​

Answers

Answer:

The average amount of debt John collected per month is $20/ month

Step-by-step explanation:

Given;

total debt collected by John, = $70.00

total number of months, = 3 1/2 months  = 7/2 months

The average amount of debt John collected per month is given by;

[tex]Average \ amount \ per \ month = \frac{Total \ amount \ of \ debt}{total \ number \ of \ months} \\\\Average \ amount \ per \ month =\frac{70}{1} *(\frac{2}{7} )\\\\Average \ amount \ per \ month = \$20 \ / month[/tex]

Therefore, the average amount of debt John collected per month is $20/ month

A sample has an n of 99. What is the df of this sample?

Answers

Answer:  The correct answer is:  " 98 " .

______________________________________

Step-by-step explanation:

______________________________________

In this case, "degrees of freedom" , or "df":

  "df" = n - 1 ;  

  in which:  "n = the numeric value of the sample size."

   Given:  "n = 99" ;  we can plug that value into the formula:

         "df" = n - 1 = 99 - 1 = 98 .

______________________________________

Correct pair

3x+5y=6
4x+2y=-6

Answers

Answer:

Step-by-step explanation:

6x + 10y = 12

-20x - 10y = 30

-14x = 42

x = -3

4(-3) + 2y = -6

-12 + 2y = -6

2y = 6

y = 3

(-3, 3)

Choose the justification for each step in the solution to the given equation.

Answers

Answer:

addition property of equality, subtraction property of equality, simplified, division property of equality and simplified.

Step-by-step explanation:

Answer:

1  given

2  Combining like terms  

3    addition property of equality

4   simplification

5   division property of equality

6   simplification

Step-by-step explanation:

In step 2, the like terms of x and x were combined and simplified to -2x.

In step 3, adding 7 to both sides of the equation to isolate the variable term is justified by the addition property of equality.

In step 4, the constants are combined on each side for simplification.

In step 5, dividing both sides of the equation by -2 to isolate the variable is justified by the division property of equality.

In step 6, simplification results in the solution of x = 4.

Which power of 10 is equal to 1,000,000?

Answers

Answer:

it is 10 to the power of 6, so your answer is 6

Step-by-step explanation:

Determine the variables tested in each of the following experiments. If applicable, determine and identify any positive or negative controls. A study is being done to test the effects of habitat space on the size of fish populations. Different sized aquariums are set up with six goldfish in each one. Over a period of six months, the fish are fed the same type and amount of food. The aquariums are equally maintained and cleaned throughout the experiment. The temperature of the water is kept constant. At the end of the experiment, the number of surviving fish are surveyed. A. Independent Variable: B. Dependent Variable: C. Controls:

Answers

Answer:

Independent Variable- size of aquariums

Dependent variable - number of surviving fish

Controls: nil

Step-by-step explanation:

In every experiment, the independent variable is manipulated and its effect on the dependent variable is observed as certain factors are kept constant.

In this study, the independent variable is the size of the aquariums. As this factor is manipulated, the number of surviving fish (dependent variable) changed accordingly. There was no mention of a control group in the experiment.

However, temperature, amount of food and type of food were held constant for all the experimental groups.

Are the ratios 1:2 and 14:18 equivalent?

Answers

Answer:

no

Step-by-step explanation: 1:2 is like half of the whole so basically what i mean is the first number has to be half of the second number for example 2:4 or 4:8

Answer:

No

Step-by-step explanation:

If these ratios were equivalent the second would read 14:24. So if the first ratio was 1:3 the second would read 14:42.

quotient of Fraction 3 over 4 divided byFraction 3 over 4 .

Answers

Answer:

1

Step-by-step explanation:

The equation would look like this: ¾ ÷ ¾

When dividing fractions, you always flip the second one to receive the reciprocal, so the equation now looks like this: ¾ ÷ 4/3

If you cross simplify, the answer will end up being 1.

Find the point slope of the line passing through the given points(use the first point (x1,y1)
(-3,4),(2,5)

Answers

Answer: y - 4 = 1/5 * (x+3)

Step-by-step explanation:

On a number line, the coordinate of X is 52, the coordinate of Y
is 121, the coordinate of Zis-21 and the coordinate of Wis 25.
Is XY = ZW? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

since the magnitude of xy ≠ zw,

|x-y| = xy = |52-121|= 69, |z-w| = zw = |-21-25| = 46

69 ≠ 46

when conducting a perpendicular line through point of a line, how can you verify that the line contested is perpendicular?

Answers

Answer:

C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right

Step-by-step explanation:

Here is 1 and 2 but I need 3 and 4 done ASAP thankssss!

Answers

Problem 1

Answers:

A = 2x2B = 2x2C = 3x2D = 2x3E = 3x3

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

Explanation:

The size of a matrix is simply the number of rows and the number of columns. Something like 2x3 means we have 2 rows and 3 columns.

================================================

Problem 2

Answers:

[tex]A_{11} = -1\\\\B_{12} = 6\\\\C_{13} = \text{DNE}\\\\D_{13} = 0\\\\E_{34} = \text{DNE}\\\\A_{22} = 0\\\\B_{21} = 5\\\\C_{31} = -5\\\\D_{23} = 4\\\\E_{22} = -7\\\\[/tex]

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

Explanation:

When saying something like [tex]E_{23}[/tex] we are looking at the item in the second row and third column of matrix E.

The acronym DNE stands for "Does Not Exist". It's another way of saying "Undefined". For instance, note how matrix E has only 3 columns. When we write [tex]E_{34}[/tex] we're asking about something in the fourth column, but no such column exists.

================================================

Problems 3 and 4 seem to be cut off because I don't see them on the screenshot.

What is the answer for 1/2(2a+4)

Answers

Answer:

a+2

Step-by-step explanation:

Answer:

the answer is 3a

Step-by-step explanation:

first you have to think about  pemdas which means you have to do parenthises first so 2a+4=6a and then 6a multiplied by 1/2 wich eqauls 3 and then you add the a and now you have you have your final answer.

Juanita has fewer than 80 coins in her coin collection. She noticed that she can divide her coins evenly into groups of 3, 5, 15, or 25.​

How many coins does she have?

Answers

Find the LCM

3 = 3 times 1

5 = 5 times 1

15 = 5 times 3

25 = 5 times 5

Because they have one 5 and one 3 in common...

5 times 3 times 5 = 75.

She has 75 coins.

Two​ shooters, Rodney and​ Philip, practice at a shooting range. They fire rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. rounds are selected at random. The sample mean scores of Rodney and Philip are and ​, respectively.​ And, their variances are and ​, respectively. The standard error of the difference between their mean scores is . 13. ​(Round your answer to two decimal places​.) The​ 95% confidence interval for the difference between the mean scores of Rodney and Philip​ is

Answers

Complete Question

Answer:

a

  [tex]SE  = 0.66}[/tex]

b

[tex] -3.29 <  \mu_1 - \mu_2 <  -0.70[/tex]  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 60

   The first sample mean is  [tex]\= x _1  =  8[/tex]

    The second sample mean is   [tex]\= x _2  =  10[/tex]

    The first variance is  [tex]v_1 =  0.25[/tex]

    The first variance is  [tex]v_2 =  0.55[/tex]

Given that  the confidence level is 95% then the level of significance is 5% =  0.05

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the first standard deviation is  

     [tex]\sigma_1 =  \sqrt{v_1}[/tex]

=>   [tex]\sigma_1 =  \sqrt{0.25}[/tex]

=>   [tex]\sigma_1 =  0.5[/tex]

Generally the second standard deviation is

     [tex]\sigma_2 =  \sqrt{v_2}[/tex]

=>   [tex]\sigma_2 =  \sqrt{0.55}[/tex]

=>   [tex]\sigma_2 =  0.742 [/tex]    

Generally the first standard error is

     [tex]SE_1  =  \frac{\sigma_1}{\sqrt{n} }[/tex]

      [tex]SE_1  =  \frac{0.5}{\sqrt{60} }[/tex]

     [tex]SE_1  =  0.06[/tex]

Generally the second standard error is

     [tex]SE_2  =  \frac{\sigma_2}{\sqrt{n} }[/tex]

      [tex]SE_2  =  \frac{0.742}{\sqrt{60} }[/tex]

     [tex]SE_2  =  0.09[/tex]

Generally the standard error of the difference between their mean scores is mathematically represented as    

      [tex]SE  =  \sqrt{SE_1^2 + SE_2^2 }[/tex]

=>     [tex]SE  =  \sqrt{0.06^2 +0.09^2 }[/tex]

=>     [tex]SE  = 0.66}[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex](\= x_1 -\= x_2) -(Z_{\frac{\alpha }{2} } *  SE) <  \mu_1 - \mu_2 <  (\= x_1 -\= x_2) +(Z_{\frac{\alpha }{2} } *  SE)[/tex]

=> [tex](8 -10) -(1.96 *  0.66) <  \mu_1 - \mu_2 <  (8-10) +(Z_{\frac{\alpha }{2} } *  0.66)[/tex]  

=>  [tex] -3.29 <  \mu_1 - \mu_2 <  -0.70[/tex]  

 

what is Hola, soy el chico nuevo de la clase y me gustan los coches, in english, and what is 100x100x38

Answers

Answer:380000

Step-by-step explanation:

Answer:

Hi, I'm the new kid in class and I like cars AND 380000

Step-by-step explanation:

2 1\2 diveded by3 2\5

Answers

Answer:

2

Step-by-step explanation:

Alright, -3r + 4(-3r + 2) = 53 how do I break it down and solve??

Answers

Answer:

r = -3

Step-by-step explanation:

-3r + 4(-3r +2) = 53

-3r + -12r + 8 = 53

                -8     -8

-3r + -12r = 45

-15r = 45

Divide both sides by -15 to get

r = -3

Answer:

r = -3

Step-by-step explanation:

expand 4(-3r+2)

= -12r+8

add similar variables

= -15r+8=53

subtract 8 from both sides

= -15r+8-8=53-8

simplify

= -15r=45

divide 45 by -15

= -3

The linear equation y=-2 is a horizontal line and has an undefined slope true or false

Answers

Answer:

False

Step-by-step explanation:

Although it is true that y=-2 is a horizontal line, it does not have an undefined slope. Because it is a horizontal line, it has a slope of 0.

Select each transformation that carries a square onto itself.

Answers

Answer:

b,c,d

Step-by-step explanation:

cus I said so and it's right

Need help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  a) GH or HG

  b) KL

  c) YZ or ZY

  d) EF

Step-by-step explanation:

A segment or line can be named by naming two points on it in any order. The points naming a line segment are its end points.

A ray is named by first naming its end point, then any other point on the ray.

a) GH or HG

b) KL

c) YZ or ZY

d) EF

scale factor of 2 to 3.5 inches

Answers

the answer is 1.75 because 3.5/2 is 1.75

why does paramcium never die​

Answers

Answer:

the paracium never dies because it keeps on reproducing

Step-by-step explanation:

the paracium lets say it starts as 1

and then taht 1 divides inti

1/2 and 1/2 and that 1/2 turns into 1

and it keeps on dividing and multiplying

Simplify the expression 10+ (a + 9)

Answers

Answer:

19+a

Step-by-step explanation:

The movies has 4 bathrooms in 16 theaters what is the bathroom to theaters ratio?

Answers

Answer:

1 bathroom to 4 theaters

Step-by-step explanation:

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