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
Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both 
. Then you find the angle given the cos using: cos(∅)=
= 
= 0. Then using ∅=acos(0)=
= 90°
SO you know that triangles add up to 180. A right angle equals 90 so 180-90=90. And an isosceles triangle means that 2 angles are congruent. SO 90/2 = 45. The measure of the 2 acute angles are 45
The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:
Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:
We can calculate the equation of
p by using its slope and its point P:
Answer:
98%
Step-by-step explanation:
If the probability of winning a school raffle is 2%, the probability of not winning the raffle would be 98%.
