Answer:
-a^2 -a -35
Step-by-step explanation:
a(4-a) -5(a+7)
Distribute
4a -a^2 -5a-35
Combine like terms
-a^2+4a -5a-35
-a^2 -a -35
Answer:
The value of rate per annum is R = 12.5 %
Step-by-step explanation:
Principal amount = 576
Interest = 153
Amount after 2 years = 576 + 153 = 729
We know that
![A = P [1 + \frac{R}{100} ] ^{T}](https://tex.z-dn.net/?f=A%20%3D%20P%20%5B1%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%5D%20%5E%7BT%7D)
Put all the values in above equation
![729 = 576 [1 + \frac{R}{100} ]^{2}](https://tex.z-dn.net/?f=729%20%3D%20576%20%5B1%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%5D%5E%7B2%7D)

R = 12.5 %
This is the value of rate per annum.
Answer:

Step-by-step explanation:
First, find the magnitude of the vector:

Then, divide each component of the vector by the magnitude to get the unit vector and rationalise:

Step-by-step explanation:
-3x - 10 > 14
-3x > 24 (add 10 to both sides)
x < -8 (divide by -3, flip inequality sign)
The missing step is -3x > 24.
Answer: C, 420
Step-by-step explanation:
The first positive even numbers are from 2 to 40, so the sum is equal to the number of terms, times the number of terms plus one (20*21 = 420)
the sum is 420