The ______ average ignores compounding.
1 answer:
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Answer:
$1.70
Step-by-step explanation:
Let the number of nickels be .
Thus, by the problem statement, the number of dimes is [/tex] 8 \cdot x = 8x. [/tex]
Therefore, there are coins in total. To find what
is, we need to solve the equation
This can be done by dividing both sides by
which gives
. Plugging these values in tells us that there are
nickels and
dimes. (Test it out!) Thus, the nickels are worth
cents and the dimes are worth
cents, so in all, you have
cents which is $1.70.
Hope this helps :)
Answer:
8 cm
Step-by-step explanation:
(See the image attached for details)
- The blue segment measures 15 cm
- The green segment measures 7 cm
- The green and yellow segment when added form the blue segment
- So: ? + 7 = 15
Solve:
? + 7 = 15
Subtract 7 on both sides:
? + 7 = 15
-7 -7
? = 8 cm
Therefore, the yellow segment, or the missing side length, measures 8 cm.
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
<em>Additional comment</em>
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
