Answer:
15 Dimes and 75 Nickles
Step-by-step explanation:
N = Nickles
D = Dimes
5D + D = 90
6D= 90
D= 15
90 - 15 = 75
N = 75
The distance of the ship from the point of the origin can be determined through the trigonometric functions derived from the given distances and the angle.
If we are to draw the ship with the distances traveled in the Cartesian plane, the abscissa (x-coordinate) and the ordinate (y-coordinate) can be determined as follow:
In the second part of the journey, the angle between the x-axis and the ship should be 90-25° = 65°
x-coordinate = y(cos 65°) = 0.4226y
2nd part of y-coordinate = y(sin 65°) = 0.906y
The first part of the y-coordinate is given to be x.
Thus, the expression that can be used to determine the ship's distance from the original point is,
<em> d = sqrt ((0.4226y)² + (x+0.906y)²)</em>
$125-$81.25 =$43.75 so that is how much was saved. Now figure what percentage $43.75 is of $125. so $43.75÷$125=.35 and changing to % the discount is 35%
Answer:
The answer to your question is below
Step-by-step explanation:
Part 1.- His mistake was that he drew the parabola upwards and it must be downwards.
Part 2.
x Substitution f(x)
-5 -(-5+2)² - 1 - 10
1 -(1 + 2)² - 1 - 10
2 -(2 + 2)² - 1 - 17
The value of f(x) is always negative indicating that the parabola goes downwards.
The future value annuity is given by:
FV=P[(1+r)^n-1]/r
where:
P=principle=$650
r=rate=0.12/4=0.03
t= time=5×4=20
Hence our future value annuity will be:
FV=650[(1+0.03)^20-1]/0.03
FV=650×0.80611/0.03
FV=650×26.870375
FV=$17,465.75
The answer is $17,465.75