Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
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6.8% compounded continuously results in more total interest
there are 24 dogs, each one gets 8oz of dog food twice a day, so for 1 day only that'd be 16 oz, for 7 days for 1 dog only that'd be 16+16+16+16+16+16+16 oz or 112oz, just for 1 dog alone for 7 days(week).
now, there are 24 dogs, each one gets 112oz every week, 24 * 112 ounces.
The Range of a function is the set of all values that that function can take.
Given the sine function f(x)=sinx,
This function is the function which calculates the sine of the values of x.
According to the definition of the sine of an angle x in the unit circle,

,
so the sine of an angle is always larger or equal to -1, and smaller or equal to 1.
This means that the values that the sine function takes are any values between -1 and 1, inclusive.
This determines the Range of the sine function.
So the Range of the sine function is [-1, 1]
Number of tickets sold on
Friday = x tickets
Monday = (1/2) x
Wednesday = x - 32