Complete question:
The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at
Answer:
27,800
Step-by-step explanation:
We need to obtain the initial population(P0) and constant value (k)
Population function : p(t) = P0e^kt
At t = 0, population = 19,000
19,000 = P0e^(k*0)
19,000 = P0 * e^0
19000 = P0 * 1
19000 = P0
Hence, initial population = 19,000
At t = 3; population = 23,000
23,000 = 19000e^(k*3)
23000 = 19000 * e^3k
e^3k = 23000/ 19000
e^3k = 1.2105263
Take the ln
3k = ln(1.2105263)
k = 0.1910552 / 3
k = 0.0636850
At t = 6
p(t) = P0e^kt
p(6) = 19000 * e^(0.0636850 * 6)
P(6) = 19000 * e^0.3821104
P(6) = 19000 * 1.4653739
P(6) = 27842.104
27,800 ( nearest whole number)
90% of "a" is 44.......turn ur percent into a decimal...." of " means multiply..." is " means equals...
0.90a = 44...divide both sides by 0.90
a = 44 / 0.90
a = 48.89.....this is rounded
what is 30% of 3a.....and we know that "a" is 48.89...
0.30(3 * 48.89) = 0.30(146.67) = 44 <=== ur answer
Answer:
the ratio is 12:1
Step-by-step explanation:
2 nonfiction/24 fiction = 12/1
therefore the ratio is 12:1
the only like-terms are on the right-hand-side, since the left-hand-side has only 1 term anyway.
Ok so what do we know :
4 quarts = 1 gal
Julia has 4gal and 2 quarts or 18 quarts
ally has 12 quarts
so if julia has 18 quarts and ally has 12 that means that ally needs 6 more quarts (or 1gal 2 quarts) so that she and julia can have the same amount
