Answer:
The correct option is c.)
Step-by-step explanation:
If someone says that an investment had a rate of return of 10% It matters if the person means a nominal rate of return or a real rate of return because real rates take inflation into account. Nominal rates are not adjusted for inflation. Nominal rates of return usually appear to be higher than the real rates of return.
Therefore the correct option is c.)
Answer:
-36 • (22u + 1)
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-74u - 5 = -1 • (74u + 5)
Equation at the end of step 2 :
(6 • (58u + 1)) - -6 • (74u + 5)
Step 3 :
Equation at the end of step 3 :
6 • (58u + 1) - -6 • (74u + 5)
Step 4 :
Pulling out like terms :
4.1 Pull out 6
Note that -6 =(-1)• 6
After pulling out, we are left with :
6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-132u - 6 = -6 • (22u + 1)
Final result :
-36 • (22u + 1)
Answer:
x = 13
Step-by-step explanation:
The sum of angle measures in a triangle is 180°.
m∠M + m∠L + m∠N = 180°
(4x-4)° + (3x+12)° + (6x+3)° = 180°
13x +11 = 180 . . . . . . collect terms, divide by °
13x = 169 . . . . . . . . . subtract 11
x = 13 . . . . . . . . . . . . . divide by 13
I'm pretty sure it's D unless somebody can tell me where they got the 0's from for C, I'm planting my foot down and saying D.
Answer:
9.56 ft/sec
Step-by-step explanation:
We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.
I've attached an image showing triangle that depicts this;
Thus; dx/dt = 3.4 ft/sec
From the attached image and using principle of similar triangles, we can say that;
9/y = 5.8/(y - x)
9(y - x) = 5.8y
9y - 9x = 5.8y
9y - 5.8y = 9x
3.2y = 9x
y = 9x/3.2
dy/dx = 9/3.2
Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;
dy/dt = dy/dx × dx/dt
dy/dt = (9/3.2) × 3.4
dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec
