The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
1 answer:
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Answer:
See below.
Step-by-step explanation:
Convert the cotangent to cosine over sine:
Use the cofunction identities. The cofunction identities are:
To convert this, factor out a negative one from the cosine and sine.
Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:
Answer:
Step-by-step explanation:
This is of the form
Where P(t) is the ending population, a is the original population, b is the growth rate, and t is time in years. We have everything we need to solve for t.
Let me explain the growth rate quickly. If the exponential function is a growth function, that means (in this particular situation) that we have 100% of the population and we are increasing it by 19%. That makes the growth rate 119%, which in decimal form is 1.19.
Begin by dividing both sides by 40000 to get
To get that t out of its current exponential position, take the natural log of both sides:
and the rules of logs say we can bring the exponent down out front:
ln(2) = t*ln(1.19)
Divide both sides by ln(1.19) to get t alone:
Doing that calculation on your calculator gives you that
t = 3.9846...
but rounding to the nearest tenth gives you that
t = 4.0 years