I'm not completely sure, but this should be exponential growth.
If so, the equation for exponential growth is: y = a(1 + r)^t
If I substitute them with the information you gave me, then is would look like this:
y = 281.4(1 + 0.02)^t
**t = is the number of years after 2000 (based on your question)**
Finished!
Three times the variable m minus four is equal to fourteen.
Another way could be:
Four less than three multiplied by m is equivalent to fourteen.
The first way I put it is simpler but if you really want to impress your teacher then I suggest going with the second way.
Also if you are looking to solve the equation then it would be:
3m - 4 = 14
+4 +4
------------
3m = 18
----- -----
3 3
m = 5
Hope that helped :-)
Answer: x = 28
===================================================
Explanation:
The angles COE, EOF, and FOB combine to form angle COB
angle COB = (angleCOE)+(angleEOF)+(angleFOB)
angle COB = (3x)+(x)+(x+12)
angle COB = 5x+12
----------
Angles AOD and COB are vertical angles, so they are congruent
angle COB = angle AOD
5x+12 = 152
5x = 152-12
5x = 140
x = 140/5
x = 28
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
3x^2+1
Step-by-step explanation:
