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T = 3/2 years; Since interest is compounded half-yearly, R = 4/2 = 2% p.a. and T = 2t years A = P [1+ (R/100) ]t ⇒ 26,530.20 = 25,000 [1+ (2/100) ]2t ⇒ (26530.20/25000) = (102/100) 2t ⇒ (132651/125000) = (102/100) 2t ⇒ (51/50) 3 = (51/50) 2t ⇒ 2t = 3 yrs ⇒ t = 3/2 years = 1 year and 6 months
I. 2x2 – 5x - 12 = 0
II. y2 – 11y + 30 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 32x + 207 = 0
Equation 2: y² - 51y + 648 = 0
I. x2 + 25x + 154 = 0
II. y2 + 27y + 181 = 0
I. 15/(√x)+9/(√x)=11√x
II. (√y)/4 + (5√y)/12 = 1/(√y)
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. 117x² + 250x + 117 = 0
II. 54y² -123y + 65 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I.70x² - 143x + 72 = 0
II. 80 y² - 142y + 63 = 0
I. 4 x ² - 4 x + 1 = 0
II. 4 y ² + 4 y + 1 = 0
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