Answer: independent variable: time (t). Dependent variable: distance (d).
Step-by-step explanation: an independent variable is a variable whose variation does not depend on that of another. In the given problem, the independent variable is time, because time will pass by no matter what (without depending in any other variable). The dependent variable in this case is the distance, because how far Jillian goes, depends on how much time she expends walking and jogging.
Sin²t +cos²t =1
<span> x=2+3 sin t
sin t=(x-2)/3
</span><span>y=1-1/2cos t
y-1= - (cos t)/2
cos t =-(y-1)/(1/2)
</span>(x-2)²/3² + (y-1)²/(1/2)² = 1
Ellipse
Answer: 
Step-by-step explanation:
The given geometric series are:
a)
on simplifying in decimals, we get
b) 
on simplifying in decimals, we get
c)
on simplifying in decimals, we get
Thus, this geometric series represent 0.4444.
d)
on simplifying in decimals, we get
Answer:
Step-by-step explanation:
A = 25% of 16 =
Selling price after reduction = 16 - 2 = $14
B= 25% of 14
= 3.5
Selling price = 14 - 3.5 = $10.5
C = 25% of 10.5
= 2.625 = $ 2.63
Selling price = 10.5 - 2.63 = $ 7.87
Answer: $1411.50
Step-by-step explanation:
Since the sale price is $35 each and there are 30 units, the cost will be:
= $35 × 30
= $1050
We then add the sales tax on the product which is 8%. This will be:
= $1050 + (8% × $1050)
= $1050 + (0.08 × $1050)
= $1050 + $84
= $1134
We then add Shipping price which is $15. This will be:
= $1134 + $15
= $1149
We then add the 25% rush charge on the sales price. This will be:
= $1050 × 25%
= $1050 × 0.25
= $262.50
To get total cost, this will be:
= $1149 + $262.50
= $1411.50
