Answer:
15°,105°,195°,285°
Step-by-step explanation:
\frac{2 tan ~x}{1-tan^2 x} =\frac{1}{\sqrt{3} } \\tan ~2x=tan~30,tan~210,tan~ (30+360),tan~(210+360)\\2x=30,210,390,570\\x=15^\circ,105^\circ,195^\circ,285^\circ
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%.
Answer:
$120
Explanation:
Data provided as per the given question below:-
Investment = $4,000
Coupon rate in percentage = 3%
The computation of yearly return is shown below:-
Yearly return = Investment × Coupon rate in percentage
= $4,000 × 3%
= $120
Therefore for computing the yearly return we simply investment with coupon rate in percentage.
If we plug the given value of y = 6 into the equation, we get:

which can be rearranged to
2x = 42
giving x = 21.
Therefore the other half of the coordinate is 21.
The second answer is correct
Because the point is on 1 and it moved 3 steps but to the left hand side as it is (-3) So it’s going to land on (-2)