You will need a special formula to compute this.
Years = log (total/principal) / [n * log * (1 + rate / n)]

Part A) Calvin $400 5% monthly 658.80 Time = ?
Monthly compounding "n" = 12
Years = log(658.80/400) / [12 * log(1+ (.05/n))
Years = log ( 1.647 ) / (12 * log ( 1.0041666667 )
Years = 0.21669359917 / 12 * 0.0018058008777
Years = 0.21669359917 / 0.0216696105 
Years = 9.999884362 


Part B) Makayla 300 6% quarterly 613.04Time=?
Quarterly compounding
n = 4
Years = log (total/principal) / [n * log * (1 + rate / n)]
Years = log (613.04/300) / [4 * log (1 + .06/4)]
Years = log ( 2.0434666667 ) / 4 * log (1.015)
Years = 0.31036755784 / 4 * 0.0064660422492
Years = 0.31036755784 / 0.025864169 
Years = 11.9999044949 

So, the difference is roughly 3 years.

3 0

3 years ago

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Lola measures three buttons for a shirt she is making. One button is 1/8 inch, one is 3/8 inch, and one is 1/4 inch. Which butto

Basile [38]

Given that the size of the buttons are:
1/8 inch, 3/8 inch and 1/4 inch
To compare the lengths we first convert the fractions into decimals for easy comparison.
To convert fractions into decimals we divide the numerator by the denominator:
1/8=0.125
3/8=0.375
1/3=0.25
from the above decimals we can see that 0.125 is the smallest and hence we conclude that the smallest button is 1/8 inches. The largest button is 3/8 inches.

5 0

3 years ago