Carla = 5 years old
Jim = 2 years old
Peter = 15 years old
(Peter was 14 years old one year ago)
5+2=7
7x2=14 (14 is the age from one year ago meaning 15 is the current age)
15-2=13
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.
Sin^2x (sec^2x + csc^2x) = sec^2x
I would convert the functions in the parentheses to their reciprocals.
sin^2x (1/cos^2x + 1/sin^2x) = sec^2x
Now distribute the sine.
sin^2x/cos^2x + sin^2x/sin^2x = sec^2x
Remember that sine divided by cosine is always tangent.
tan^2x + sin^2x/sin^2x = sec^2x
The remaining fraction is simply 1.
tan^2x + 1 = sec^2x
Use the Pythagorean identity to add the left side.
sec^2x = sec^2x
Q.E.D.
Answer:
2n + 5
5 times more (add)
Than 2 times the value (multiply)
Answer:
Population = starting population * ( 1 + rate) ^ years
y = 370,000 * (1.079) ^ t
Step-by-step explanation:
