Answer:
about 81 years
Step-by-step explanation:
A graphing calculator can give you the answer easily.
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You can solve the problem algebraically by putting in the given number and solving for t.
30000 = 32000/(1 +12.8e^(-.065t))
12.8e^(-.065t) = (32000/30000) -1 = 1/15
e^(-.065t) = 1/(15·12.8) = 1/192 . . . . . divide by 12.8
-0.065t = ln(1/192) ≈ -5.257 . . . . . . take the natural log
t = -5.257/-0.065 ≈ 80.88 . . . . . . . .divide by the coefficient of t
It will take about 81 years for the number of trees to reach 30,000.
Answer:
The coordinates after a dilating the triangle by a factor of 1/2 would be (-1.5, 1.5), (-1.5, 1) and (0.5, -1), respectively.
Step-by-step explanation:
Since we are dilating from the origin of the graph, (0, 0), all we need to do is multiply each vertex by the given scale factor.
Answer:
It is not possible to solve the equation y = 4x + 3. This is merely a relation between two variables x and y. The variable y is 3 greater than 4 times the variable x.
Step-by-step explanation:
What book?
P=6 - value .01
d=12 or 2*p - value .1
n=3 - value .05
q=12 or 4*n - value .25
Multiply each denomination's value by how many she had.
(6*.01)+(12*.1)+(3*.05)+(12*.25)
.06+1.20+.15+3.00
$4.41
Answer:
Step-by-step explanation:
The first thing that I noticed was that all of the terms had a common factor of . You can therefore factor that out first:
Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:
Hope this helps!