Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
Multiply both sides by 100.
Divide both sides by 50.
The amount invested at 7% is 
.
The amount invested at 8% is
The amount invested at 9% is
Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
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He would still be cool because of his music and his fun-loving spirit.
Answer:
∠Q ≈ 42.969, ∠P ≈ 52.03, QR ≈ 15.036
Step-by-step explanation:
Law of sines:
13/sin Q = 19/sin 85°
=> sin Q = 13 × sin 85°/19
=> Q = sin^-1 (13 × sin 85°/19)
=> Q ≈ 42.969
∠P=> 180 - 85 - 42.969 ≈ 52.03
QR/sin 52.03° = 19/sin 85°
=> QR = sin 52.03° × 19/sin 85°
=> QR ≈ 15.036
Answer:
The given Expression is sometimes true.
Step-by-step explanation:
from the question,
The given expression by Cary is 
.
So, solving the expression we get
⇒ 
Let 
is an integer.
Whenever,
(a) 
{ 
}
The given Expression always gives negative value.
(b) 
{
}
The given Expression always gives positive value.
Here, we get that the given Expression is not providing the Negative value always, that's why it is not always true and can't be never true.
Hence,
According to Cary's claimantion the given Expression is sometimes true.
