(a) On Sam's first birthday celebration, his grandfather deposited an amount of S 1,000.00 in a bank compound at 4 % interest annually. Find how much is in ...
Question 1 Report
(a) On Sam's first birthday celebration, his grandfather deposited an amount of S 1,000.00 in a bank compound at 4 % interest annually.
Find how much is in the account if Sam is 4 years old.
%IMG%
In the diagram, ABCD are points on the circle centre O. If \(|AB| = |BC|\) and \(\angle ADC = 50^\circ\), find \(\angle BAD\).
(a) Amount at end of the 2nd year = \(\frac{104}{100}\) x $1000
= $1,040.00
Amount at end of 3rd year = \(\frac{104}{100}\) x $1040
= $1,081.60
Amount at end of 4th year = \(\frac{104}{100}\) x $1081.6
= $1,124.86
(b) \(\angle ADC + \angle DCA + \angle CAD = 180^\circ\)
\(50^\circ + 90^\circ + \angle CAD = 180^\circ\)
\(\angle CAD = (180 - 140)^\circ\)
= 40
\(\angle ADC + \angle ABC = 180^\circ\)
\(50^\circ + \angle ABC = 180^\circ\)
\(\angle ABC = 130^\circ\)
\(\angle BAC + \angle BCA + \angle ABC = 180^\circ\)
But \(\angle BAC = \angle BCA\)
\(2\angle BAC + \angle 130^\circ = 180^\circ\)
\(2\angle BAC = 50^\circ\)
\(\angle BAC = 25^\circ\)
\(\angle BAD = \angle CAD + \angle BAC\)
= \(40^\circ + 25^\circ = 65^\circ\)
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