a = 1, n = 20, d = 4-1= 3
Tn = a + (n-1) x d
T20 = 1 + (20 - 1) x 3
T20 = 1 + 19 x 3
T20 = 1 + 57
T20 = 58 (option a)
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Calculation of Logarithms, Probabilities, and Sums, Assignments of Mathematics
Calculations of logarithms, ratios, and sums. It covers topics such as the properties of logarithms, finding the logarithm of a number using the properties of logarithms, and calculating probabilities using conditional probabilities. It also includes calculations of the present value of rent receivable and the cost of an asset, and determines whether leasing is preferable. The document also includes some theory on derivative and integration.
Typology: Assignments
2019/2020
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a = 1, n = 20, d = 4-1= 3 Tn = a + (n-1) x d T 20 = 1 + (20 - 1) x 3 T 20 = 1 + 19 x 3 T 20 = 1 + 57 T 20 = 58 (option a)
30 = 6 x 5 30 = 2 x 3 x 5 thus, log 30 = log 2 x 3 x 5 log 30 = log 2 + log 3 + log 5 (as log a x b x c = log a + log b + log c) thus, log 30 = 0.3010 + 0.4771 + 0. thus, log 30 = 1.4771 (option c)
P(A/B)=P(A∩B)/P(B)
=^39 C 3 /^48 C 3 (52-13C 3 / 52-4C 3 )
then P(A/B)=1-9139/ =17296 - 9139/ = 8157/ = 0.4718 (option c) [complicated sum]
ORIGINAL COST OF LIVING INDEX = 110
NEW COST OF LIVING INDEX = 200
ORIGINAL SALARY = 3250
LET NEW SALARY(REAL) = x
110 ----> 200 3250----> x THUS, x = 3250 x 200 / 110 THUS, REAL SALARY INCREASED TO= RS. 5909 (OPTION B)
LET THE NUMBER BE X
(1/5) (1/3) (1/2) X = 15 (GIVEN)
(1 x 1 x 1/ 5 x 3 x 2) X = 15 (1/30) X = 15 X = 30 x 15 / 1 = 450 THUS, THE NUMBER IS 450 (OPTION B)
LET THE SUM OF MONEY BE X
THUS, AMOUNT = 3X
INTEREST = AMOUNT - PRINCIPAL
= 3X - X= 2X
THUS, INTEREST = PRINCIPLE x RATE x TIME / 100 2X = X x R x 20 / 100 2X = X x R x 1 / 5 5(2X) = X x R 10X = RX R = 10X / X THUS, R = 10% NOW, NEW AMOUNT = 2X, THUS, NEW INTEREST = 2X -X = X THUS, X = X x 10 x T / 100 ; X = X x T /10 ; 10X = TX ; T = 10X/X = 10 YEARS. THUS, TIME = 10 YEARS (OPTION C)
THUS, ANSWER IS 3,5,7 (OPTION A)
- GIVEN (X-3) (X-5) (X-7) =
- THUS, X-3= 0 ; X-5= 0 ; X-7=
- X= 0+3; X=0+5 ; X=0+
- X= 3, X = 5 , X=
- X= 0+3; X=0+5 ; X=0+
this question is a derivative and integration question so just remember as theory. will make a pdf on derivative soon.
shortcut calcy trick 24000 - 20% = 19200 19200 - 20% = 15360 15360 - 20% = 12288 12288 - 20% = 9830. 9830.4- 20% = 7864.32 (option a)