Answer:
Height of the building = 50.8 ft
Step-by-step explanation:
A person and a building are casting the shadows at the same time of the day.
Triangles formed by the person and his shadow and the building and its shadow will be similar.
Therefore, corresponding sides of the similar triangles will be proportional.
x =
x = 50.75
x ≈ 50.8 ft
Answer:
(a) annually = 28.07 years
(b) monthly = 27.75 years
(c) daily = 27.73 years
(d) continuously = 27.72 years
Step-by-step explanation:
given data
principal = $400
annual rate = 2.5% = 0.025
solution
we know here amount formula that is
amount = principal × ..................1
put here value for compound annually
800 = 400 ×
take ln both side
ln 2 = ln
t = 28.07 years
and
put value now in equation 1 for monthly
amount = principal ×
800 = 400 ×
take ln both side
ln 2 = 12t × ln(1.00208333)
t = 27.75 years
and
put value now in equation 1 for daily
amount = principal ×
800 = 400 ×
take ln both side
ln 2 = 365 t × ln (1.0000684932)
t = 27.73 years
and
for compound continuously
amount = principal × .................2
put here value
800 = 400 ×
t = 27.72 years