The torque exerted by the force on the body is
.
Vectorially speaking, the torque exerted (
) by the force on the body (
) is resulted from this expression:
(1)
Where:
- Vector distance between points A and Q.
- Vector force exerted at point A.
If we know that
and
, then the torque is:


The torque exerted by the force on the body is
.
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The amount invested by Mr.Smith in 5% is $240 .
<u>Step-by-step explanation:</u>
We have , Mr. Smith invests a certain amount of money at 8% and twice as much at 5%. If his annual income from the two investments is $720 . Let us suppose that Mr.Smith invest $x so :
Amount of money invested in 5% is
. And, amount of money invested in 8% is twice that of 5% i.e.
.
Now, total investment is $720 so,
+(
) = $720
⇒ 
⇒ 
⇒ 
⇒ 
The amount invested by Mr.Smith in 5% is
i.e.
. ∴ The amount invested by Mr.Smith in 5% is $240 .
Answer:
2016
Step-by-step explanation:
using USA dollars:
$42000 x .072 (7.2%) = 3024 total commission
3024 x 2/3 = 2016 brokers amount
Answer: 13x + 6
Perimeter is the sides added together:
5x + 3 + 5x + 5 + 3x - 2 = perimeter
13x + 6 = perimeter
Ans is 8 and -1
8 + (-1) = 7
and
8 * (-1) = -8