Answer:
C
Step-by-step explanation:
This is simple application of the rule of 72.
The rule of 72 determines how long an investment will take to double given fixed interest rate. We divide 72 by annual rate of return and get the estimate of number of years it will take for investment to double.
Thus, here, rate of interest is 5%, so we divide 72/5 and get our rough estimate.
72/5 = 14.4 Years
That's about 14 years, answer choice C
multiply and add then subtract. steps are in the picture.
Answer:
640 m
Step-by-step explanation:
We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.
The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.
In the additional 2 time units (8 seconds), the ball dropped an additional
... (720 -80) m = 640 m
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<em>Alternate solution</em>
You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...
... d = kt²
Filling in the information related to the first 4 seconds, we have ...
... 80 = k(4)²
... 80/16 = k = 5
Then the distance equation becomes ...
... d = 5t²
After 12 seconds (the first 4 plus the next 8), the distance will be ...
... d = 5×12² = 5×144 = 720 . . . meters
That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.
Answer: C
Step-by-step explanation:
You can solve this by first multiplying both sides of the fraction by the conjugate of the denominator.
In this case, the conjugate is (8 - 2i).
So:
Simplify:
Simplify again, knowing that i^2 = -1
Then, divide both numbers in the numerator by 68 to get your answer.
Answer:
C $973.39
Step-by-step explanation:
the answer is C on e2020