Answer:
P = 1.236 * (1.0125)^t
Step-by-step explanation:
As the Population increases at a rate proportional to itself, this is an exponencial growth, so we can write the following formula:
P = Po * (1+r)^t
where P is the population after t years, Po is the inicial population (at t=0), r is the rate of growth and t is the amount of time in years.
For our problem, we have that Po = 1.236 and r = 0.0125.
Finally, we can write the equation for P:
P = 1.236 * (1.0125)^t
Answer:
51 ?
Step-by-step explanation:
90-39= 51. I hope its correct
Answer:
Step-by-step explanation:
we know that
In the right triangle of the figure
The cosine of angle A is equal to divide the adjacent side to angle A by the hypotenuse
so
----> by CAH
Find the measure of the angle A
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating relative frequency
STEP 2: Calculate the relative frequency
By substitution,
The relative frequency in a fraction in its simplest form is 3/13
Answer:
6: Reason 2 - substitution, Statement 4 - PR congruent to PR, Reason 4 - reflexive property, Reason 5 - AAS
8: Rotation
Step-by-step explanation:
6: Since both of the given angles equal 90°, you can <em>substitute</em> Angle RPT in to make Angle PRQ congruent to Angle RPT. Then, since both triangles share Line PR, <em>PR would be congruent to PR</em> by the <em>reflexive property</em>. And since you know that Angle Q is congruent to Angle T, you can see that Triangle QRP is congruent to Triangle TPR by the <em>AAS theorem</em>.
8: Since the 1st triangle is pointing to the right and the 2nd triangle is pointing downward, this would be a rotation of 90° clockwise (or 90° counterclockwise if the 1st triangle is the one pointing downward)
I don't have 7, sorry.
Also (if you haven't noticed it already), there's a typo in the 1st statement of the proof. Just thought I'd let you know ;)