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
Answer:
- 270 tickets were sold
- not needed: books per player, tickets per book
Step-by-step explanation:
To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:
(total revenue)/(revenue/ticket) = total tickets
$810/$3 = 270 . . . total tickets
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None of the other numbers in the problem are needed: books per player (1), tickets per book (10).
We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.
t^2 + 3t + 2 = 0
t1 = -1
t2 = -2
x1 = √-1 = i
x2 = -i
x3 = √-2 = i√2
x4 = -i√2
Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...
When putting data into a class for this case, 0.350 - 0.359, they should be within the class boundaries. The class boundaries are 0.3495 and 0.3595. So, the data that will go into that class are 0.356 and 0.358. The record 0.349 is not included since it is below 0.3495. Therefore, there are only two values in the class.
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Answer:
90 beats per minute
Step-by-step explanation:
By looking at the graph, we see that exactly at second 6, the 9th beat occurs. We can take that to beats/min by multiplying that relation by 10 (since there are ten 6sec in one minute).
9beats every 6sec * 10 = 90beats/min
