The formula for compound interest, compounded once per year, is:
A = P(1+r)^t, where r is the annual interest rate as a decimal fraction and t is the number of years.
If interest is compounded twice per year, then the above formula is changed to:
A = P(1+r/2)^(2t), where the '2' indicates twice-per-year compounding.
If interest is compounded n times per year, then the above formula is changed to:
A = P(1+r/n)^(nt).
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Answer:</h2>
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Step-by-step explanation:</h2>
When we rotate a point we could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation.
On the coordinate plane, consider the point 
. To rotate this point by 90° around the origin in clockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:
So:
Finally, the new point is:
Answer:
D. 
Step-by-step explanation:
Answer:
the scenic route take 6h 40m
Step-by-step explanation:
first we have to make an equation that represents the relationship of each route
x = scenic route
y = direct route
x = y + y * 25/100
now we have to make an equation that represents the routes over time
x + y = 12
we replace the x by what is the same in the first equation (y + y * 25/100) in the second equation
x + y = 12
(y + y * 25/100) + y = 12
2 y + 0.25 y = 12
2.25y = 12
y = 12/2.25
if we spend this in minutes multiplying it by 60
y = 12/2.25 * 60 = 320 m = 5h 20m
x + y = 12
x + (5h 20m) = 12h
x = 12h - 5h 20m
x = 6h 40m
Answer:
Step-by-step explanation:
70p
