Nilda has $25 in her savings account. She plans to save 6.50 per week from her salary. Iona has $50 in her account but can save
1 answer:
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Answer:
911,690.
Step-by-step explanation:
Please consider the complete question.
A city has a population of 390,000 people. Suppose that each year the population grows by 6.75%. What will the population be after 13 years? Round your answer the nearest whole number.
We will use exponential growth formula to solve our given problem.
, where,
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
To find the population after 13 years, we will substitute in population growth equation as:
Upon rounding to nearest whole number, we will get:
Therefore, the population of the city after 13 years would be 911,690.
Answer:
69.92°F
Step-by-step explanation:
Given:
Initial temperature ( i.e at time, t = 0) = 40°F
Temperature of the room = 70°F
Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F
Now, from Newton's law of cooling
T'(t) = k(A - T(t))
T(t) temperature after time t
T'(t) =
here, A is the room temperature
thus,
= k(70 - T)
or
= kdt
on solving the differential equation, we get
T = ............(1)
Now from the boundary conditions,
i.e at time, t = 0; T = 40°F
we get,
40 =
or
C = 30
and,
at time, t = 10; T = 48°F
thus,
48 =
or
k =
or
k = 0.03
Therefore,
for t = 25
from 1 we have
T =
or
T = 70 - 0.0780
or
T = 69.92°F