Answer:
P(t) = 1000e^(0.01155)t
Step-by-step explanation:
Let the population of barangay be expressed according to the exponential formula;
P(t) = P0e^kt
P(t) is the population of the country after t years
P0 is the initial population
t is the time
If barangay has 1000 initially, this means that P0 = 1000
If the population doubles after 60years then;
at t = 60, P(t) = 2P0
Substitute into the formula
2P0 = P0e^k(60)
2 = e^60k
Apply ln to both sides
ln2 = lne^60k
ln2 = 60k
k = ln2/60
k = 0.01155
Substitute k = 0.01155 and P0 into the expression
P(t) = 1000e^(0.01155)t
Hence an exponential model for barangay's population is
P(t) = 1000e^(0.01155)t
Let L and H represent length and height, respectively.
.. 20 ft = (4/5)*L
.. L = (5/4)*(20 ft) = 25 ft . . . . . . . . multiply by the reciprocal of the coefficient of L
.. H = (2/9)*(L +20 ft)
.. = (2/9)*(25 ft +20 ft))
.. = (2/9)*(45 ft) = 10 ft
The volume is the product of length, width, and height.
.. V = (25 ft)*(20 ft)*(10 ft) = 5000 ft^3
Answer:
76%
Step-by-step explanation:
24% of 700=168
100-24=76
16=7+2x is ur answer learned this last year in 7th grade
Let's say that you're in your room and you find that the current temperature of 72 degrees is too cold, so slowly you increase the temperature of the room by two degrees.
We know that the explicit formula is
a^n=a^1+ (n-1)d
and so by substituting the given information in
a^n= 72 + (n-1)2
a^1=Initial temp
d= rate of change
by substitution a value of n (the term we are looking for) into this equation, you can then calculate the temperature that you just set the room too.
