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 :
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Answer:
Step-by-step explanation:
Answer:
4/33
Step-by-step explanation:
Multiply 3x4 across which equals 12
Multiply 11x9 across which equals 99
Simplify to equal 4/33
Hope this helps!! :)
The polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2
<h3>How to create the polynomial?</h3>
The GCF is given as:
GCF = 5z
This means that the polynomial can be represented as:
P(z) = GCF * Another factor
We can make use of the following function
P(z) = 5z * (z - 1)
Expand
P(z) = 5z^2 - 5z
Rewrite as:
P(z) = -5z + 5z^2
Hence, the polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2
Read more about polynomial at:
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The remainder is 3.
You can get this by performing long division to answer the question. Since there is a remainder, it is not a factor.
