Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is
Solving the equation we get,
Neglecting n=-3
So, n=4
Then Alan's speed in m/min is
Brian completes 3 laps in that 9-minute time, so his rate is
Therefore, Alan: 200 m/min
Brian: 150 m/min
Answer:
Step-by-step explanation:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
Considering the 36-month loan,
T = 36 months = 36/12 = 3 years
P = $15000
R = 6.5%
Therefore
I = (15000 × 6.5 × 3)/100
I = 292500/100
I = $2925
Considering the 48-month loan loan,
T = 48 months = 48/12 = 4 years
P = $15000
R = 7.5%
Therefore
I = (15000 × 7.5 × 4)/100
I = 450000/100
I = $4500
The difference in the amount of interest Ella would have to pay for these two loans is
4500 - 2925 = $1575
The answer to this would be x-(x+14)
Here's an explanation:
Let x represent the unknown number. The problem says that x has been decreased by the sum of x and 14. So, to put this in a form of an equation, it would be x-(x+14), since you have to do the addition first before you can subtract the two number since you don't know what x is. This equation is equal to -14 no matter what x is.
34 = q + n
6.1 = .25q + .05n
-1.7 = -.05q - .05n
6.1 = .25q + .05n
4.4 = .2q
q = 22
22 of the coins are quarters.
