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Anarel [89]
3 years ago
11

Belinda will earn $46,000 her first year working as an interior designer with annual raises of 10%. What are her total earning a

t the end of 7 years?
Mathematics
1 answer:
dimaraw [331]3 years ago
3 0
For this case we have an equation of the form:
 y = A * (b) ^ t
 Where,
 A: initial gain
 b: growth rate
 t: time
 Substituting values we have:
 y = 46000 * (1.10) ^ t
 For the year 7 we have:
 y = 46000 * (1.10) ^ 7
 y = 89640.9866
 Answer:
 
her total earning at the end of 7 years are:
 
y = 89640.9866 $
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Make a table of ordered pairs for the equation y=1/2x-3. Then plot two points to graph the equation.
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What is the value of x?
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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
Alexandra [31]
Answer: y-axis.

Explanation:

The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.

The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.

Also, I attached the graph in cartesian coordinates.

Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).

<span> <span><span> θ (rad)    r = 3 - 4 sin θ </span> <span>

0               3 </span> <span>
π/8            2.61731657 </span>
<span> π/4            2.29289322 </span> <span>
3π/8          2.07612047
</span> <span> π/2            2
</span> <span> 5π/8          2.07612047 </span> <span>
3π/4          2.29289322 </span> <span>
7π/8          2.61731657 </span> <span>
π               3 </span> <span>
9π/8          3.38268343 </span> <span>
5π/4          3.70710678 </span> <span>
11π/8        3.92387953 </span> <span>
3π/2          4 </span> <span>
13π/8        3.92387953 </span> <span>
7π/4          3.70710678 </span> <span>
15π/8        3.38268343 </span> <span>
2π             3 </span> </span></span>

In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.

Therefore, the graph is symmetric about the y-axis.





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