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RUDIKE [14]
2 years ago
7

Sindi borrowed an amount of money from his

Mathematics
1 answer:
PolarNik [594]2 years ago
3 0

The present value of the loan is R576923.

<h3>What is compound interest ?</h3>

Compound interest is giving the current instalment in terms of the total previous amount.

The formula is given by

A = P(1 + r/100)ⁿ.

Where,

A = Amount, P = Principle, r = rate of interest, n = Time in years.

In case the compound if interest is given every two months that is 6 instalments each year the above given formula will be

A = P{ 1 + (r/6)/100 }⁶ⁿ.

According to the given question

Rate(r) = 7.5%

Time(n) = 6 years

The loan will be paid back in 6 years every second month and it is compounded.

∴ No. of instalments = (12 × 6)/2

= 36.

Now each instalments is of R25000

So, The total amount she has to pay back to his father is

= (25000 × 36)

= R900000.

We know compounding every two months is

A = P(1 + r/100)ⁿ

900000 = P{ 1 + (7.6/6)/100 }³⁶

900000 = P{ 1 + 1.25/100 } ³⁶

900000 = P(1.0125)³⁶

900000 = 1.56P

∴ P = 576923.

Learn more about compound interest here :

brainly.com/question/13155407

#SPJ1

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Indicate the method you would use to prove the two ▲'s ≅. If no method applies, enter "none".
zysi [14]

Answer: None


Step-by-step explanation:

In the given picture , there are two triangles and their corresponding angles are equal.

So by AAA similarity criteria they are similar. But there is no other information is given to prove that they are congruent.

[∵ we know that congruent are similar but similar triangles may not be congruent.]

Therefore, there is no sufficient information to prove them congruent by using any given postulate.

Hence, the answer is "None".



4 0
3 years ago
Read 2 more answers
The slope of (17,2) and (18,-17)
Ahat [919]

<u>m= -19/1</u>

We need to use the slope equation

\frac{y_{2}-y_{1}  }{x_{2}-x_{1} }

We are working with the points,  

 (17,    2)         and      (18,     -17)

  x1    y1                       x2       y2

\frac{-17-2}{18-17}

<u>m= -19/1</u>

4 0
3 years ago
Area of this rectangular pyramid please
dalvyx [7]
The rectangular prism has an area of 1188.
4 0
3 years ago
Determine the number of degrees of freedom for the two-sample t test or CI in each of the following situations. (Round your answ
gulaghasi [49]

Answer:

Part a ) The degrees of freedom for the given two sample non-pooled t test is 24

Part b ) The degrees of freedom for the given two sample non-pooled t test is 30

Part c ) The degrees of freedom for the given two sample non-pooled t test is 30

Part d ) The degrees of freedom for the given two sample non-pooled t test is 25

Step-by-step explanation:

Degrees of freedom for a non-pooled two sample t-test is given by;

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Now given the information;

a) :- m = 12, n = 15, s₁ = 4.0, s₂ = 6.0

we substitute

Δf =  {[ 4²/12 + 6²/15 ]²} / {[( 4²/12)²/12-1] + [(6²/15)²/15-1]}

Δf  = 30184 / 1241

Δf  = 24.3223 ≈ 24 (down to the nearest whole number)

b) :- m = 12, n = 21, s₁ = 4.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 4²/12 + 6²/21 ]²} / {[( 4²/12)²/12-1] + [(6²/21)²/21-1]}

Δf = 56320 / 1871

Δf = 30.1015 ≈ 30 (down to the nearest whole number)

c) :- m = 12, n = 21, s₁ = 3.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 3²/12 + 6²/21 ]²} / {[( 3²/12)²/12-1] + [(6²/21)²/21-1]}

Δf = 29095 / 949

Δf = 30.6585 ≈ 30 (down to the nearest whole number)

d) :- m = 10, n = 24, s₁ = 4.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 4²/10 + 6²/24 ]²} / {[( 4²/10)²/10-1] + [(6²/24)²/24-1]}

Δf = 1044 / 41  

Δf = 25.4634 ≈ 25 (down to the nearest whole number).

6 0
3 years ago
Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.
Pachacha [2.7K]

Answer:

£216

Step-by-step explanation:

  • Cost = £6 per person
  • Teacher earns = 90% of total

<u>Total number of people:</u>

  • 13 + 11 + 16 = £40

<u>Total paymen</u>t:

  • 40*6= £240

<u>Teacher earns in total per given week:</u>

  • 240*90/100 = £216

7 0
3 years ago
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