Starting January 1, 2015, there are 364 remaining nights.
From 1,001 nights, it will be 637 nights left.
In 2016, there are 366 nights. Subtract it to 637 nights left, you will get 271 nights left.
In 2017, 271 is lesser than 365.
From January to August, the nights left is 28.
<span>
So the date will be September 28, 2017.</span>
Answer:
The density of cube is 6.17959 
Step-by-step explanation:
The density is given by ration of a mass of body and volume occupied by a body.
Where,
is density.
m is mass of a body
V is the volume of a body
Given that one side of the cube is 0.53cm
Hence, the volume of a body is V=
=0.148877
Now, the Density of the cube will be
Thus, The density of cube is 6.17959
From the explicit formula:
an=3+(n-1)8
simplifying this we get:
an=3+8n-8
an=8n-5
thus
the recursive formula is:
an=an-1+
the missing part is the common difference which is 8
Answer:
I believe the answer is A.
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
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