Refresher - MATHEMATICS Quiz 21
PROBLEM 1:
A 25 foot long ladder is leaning against a wall and sliding toward the floor.
If the foot of the ladder is sliding away from the base of the wall at a rate
of 15 ft/sec, how fast is the top of the ladder sliding down the wall when
the top of the ladder is 7 ft. from the ground?
Solution:
x 2 + y 2 = 252
when y = 7
x 2 + 72 = 252
y = 24
x 2 + y 2 = 25 2
dx dy
2x + 2y = 0
dt dt
dy
24(15) + 7 = 0
dt
dy - 360
= ft / sec
dt 7
, Refresher - MATHEMATICS Quiz 21
PROBLEM 2:
A man wished to have P40000 in a certain fund at the end of 8 years that
will pay a nominal rate of 6% compounded continuously. What is the
value of the compound amount factor for this rate?
Solution:
F = Per n
er n = compound amount factor
e0.06(8) = 1.616
PROBLEM 1:
A 25 foot long ladder is leaning against a wall and sliding toward the floor.
If the foot of the ladder is sliding away from the base of the wall at a rate
of 15 ft/sec, how fast is the top of the ladder sliding down the wall when
the top of the ladder is 7 ft. from the ground?
Solution:
x 2 + y 2 = 252
when y = 7
x 2 + 72 = 252
y = 24
x 2 + y 2 = 25 2
dx dy
2x + 2y = 0
dt dt
dy
24(15) + 7 = 0
dt
dy - 360
= ft / sec
dt 7
, Refresher - MATHEMATICS Quiz 21
PROBLEM 2:
A man wished to have P40000 in a certain fund at the end of 8 years that
will pay a nominal rate of 6% compounded continuously. What is the
value of the compound amount factor for this rate?
Solution:
F = Per n
er n = compound amount factor
e0.06(8) = 1.616
