7/10 is 0.7
0.7 x 16 yields 11.2
11.2 is also 11 1/5
or 56/5
Answer: E. :)
Step-by-step explanation:
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)
Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:
Let x be the number of cans.
4x + 5x = 180
9x = 180
9x/9 = 180/9 (divide both sides of the equation by 9)
x = 20
Now, substitute the values:
4(20) + 5(20) = 180
80 + 100 = 180
180 = 180
Therefore, you collected 80 cans and your friend collected 100 cans.
