Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is 
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:

In which k is the growth rate.
By separation of variables, the solution is given by:

In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is 
Answer:1. GCF of the group ( 6 x - 3 ) is 3.
2. The common binomial factor is 2 x - 1.
3. The factored expression is: ( 2 x - 1 ) ( 7 x + 3 ).
Step-by-step explanation:
14 x² + 6 x - 7 x - 3 =
= ( 14 x² - 7 x ) + ( 6 x - 3 ) =
= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =
= ( 2 x - 1 ) ( 7 x + 3 )
Answer:
<A = 35degrees
<B =90degrees
<C = 55degrees
Step-by-step explanation:
Given the ratios of a triangle as 7:18:11
Total ratio = 7+18+11
Total ratio = 36
Since the smallest angle is 35degrees, hence <A = 35degrees
Get angle B;
<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)
<B = 1/2 * 180
<B = 90degrees
Get angle C;
<C = 11/36 * 180
<C = 11 * 5
<C = 55degrees
Hence the value of A, B and C are 35, 90 and 55 degrees repectively
Answer:
$ 9.86
Step-by-step explanation:
Tax = 6% of 9.30
= 0.06 * 9.30
= $ 0.558
Total costs = 9.30 + 0.558
= 9.858
= $ 9.86
114 millimeters, because millimeters are smaller than centimeters, making them more precise. Brainliest please!!!!