22 In the diagram below, BC-(10-x)units, AF B 19 x D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Gdematios Grade 12
Term 3 Test 2021
22 In the diagm below, BC- (10-units, AF
Calculate the value of x if the area of the quadrilateral is a maximum.
(3)
Note:
The area of a square side x side
The area of a rectangle = lengthx side
The area of a parallelogram -base x pernendicular height
[15)
QUESTION 3
3.1 A photocopier machine which costs R225 000 depreciates by 12,5% p.a. on a
Reducing balance.
Determine how long it will take for the value of the machine to be worth R100 000?
(answer to the nearest years)
(4)
3.2 Jabu took out a home loan for R500 000 at an interest rate of 12% per
annum, compounded monthly. He plans to repay this loan over 20 years
and his first payment is made one month after the loan is granted.
3.2.1 Determine the effective interest rate
(3)
3.2.2 If Jabu plans to pay a deposit of 15% towards the home loan. What is the
value of the loan?
(2)
3.2.3 Jabu could not afford the deposit amount.
He took the full loan of RS00 000 at an interest rate of 12% per annum,
compounded monthly.
Calculate the value of Jabu's monthly instalment.
(4)
[13]
0103
Transcribed Image Text:Gdematios Grade 12 Term 3 Test 2021 22 In the diagm below, BC- (10-units, AF Calculate the value of x if the area of the quadrilateral is a maximum. (3) Note: The area of a square side x side The area of a rectangle = lengthx side The area of a parallelogram -base x pernendicular height [15) QUESTION 3 3.1 A photocopier machine which costs R225 000 depreciates by 12,5% p.a. on a Reducing balance. Determine how long it will take for the value of the machine to be worth R100 000? (answer to the nearest years) (4) 3.2 Jabu took out a home loan for R500 000 at an interest rate of 12% per annum, compounded monthly. He plans to repay this loan over 20 years and his first payment is made one month after the loan is granted. 3.2.1 Determine the effective interest rate (3) 3.2.2 If Jabu plans to pay a deposit of 15% towards the home loan. What is the value of the loan? (2) 3.2.3 Jabu could not afford the deposit amount. He took the full loan of RS00 000 at an interest rate of 12% per annum, compounded monthly. Calculate the value of Jabu's monthly instalment. (4) [13] 0103
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