Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they bo
th save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
1 answer:
First, let's make an equation as to how to find how much money they have altogether:
(M stands for the # of month)
Jaclyn: 120 + 40m
Pedro: 180 + 20m
So let's plug-in 1 for m (1 will stand for 1 month)
Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200
I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).
So they will have the same amount of money in 3 months. Hope this helps! :)
(M stands for the # of month)
Jaclyn: 120 + 40m
Pedro: 180 + 20m
So let's plug-in 1 for m (1 will stand for 1 month)
Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200
I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).
So they will have the same amount of money in 3 months. Hope this helps! :)
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Answer:
y = 5
Step-by-step explanation:
Expand the logarithm:
_____
You can also take the antilog first:
5y = y²
y(y -5) = 0 . . . . . subtract 5y, factor
y = 0 or 5 . . . . . y=0 is not a viable solution, so y=5.