$ 5 is taken is off the regular price
<em><u>Solution:</u></em>
Given that, Regular price of the soccer ball is $ 25
During the sale, it is 20 percent off
Let "x" be the amount that is taken off the regular price
Regular price = $ 25
Discount = 20 percent off
Which means, 20 % of regular price is taken off
x = 20 % of regular price
x = 20 % of 25

Thus $ 5 is taken is off the regular price
By converting into parametric equations,
<span><span>x(θ)=r(θ)cosθ=cos2θ<span>cosθ
</span></span><span>y(θ)=r(θ)sinθ=cos2θsinθ</span></span>
By Product Rule,
<span>x'(θ)=−sin2θcosθ−cos2θsinθ</span>
<span>x'<span>(π/2)</span>=−<span>sin(π)</span><span>cos<span>(π/2)</span></span>−<span>cos(π)</span><span>sin<span>(π/2)</span></span>=1</span>
<span>y'(θ)=−sin2θsinθ+cos2θcosθ</span>
<span>y'<span>(π/2)</span>=−<span>sin(π)</span><span>sin<span>(π/2)</span></span>+<span>cos(π)</span><span>cos<span>(π/2)</span></span>=0</span>
So, the slope m of the curve can be found by
<span>m=<span>dy/dx</span><span>∣<span>θ=<span>π2
</span></span></span>= <span><span>y'<span>(π/2)/</span></span><span>x'<span>(π/2)
</span></span></span></span>=0/1
=0
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Answer:
8 years
Step-by-step explanation:
Compound interest formula

A(t) is the final amount 55000
A_0= 40000, r= 4% = 0.04, for quarterly n=4

divide both sides by 40000


Take ln on both sides

divide both sides by ln(1.01)

Divide both sides by 4
t=8.00108
So it takes 8 years
As a improper fraction, its 127/100
Answer:
-6x+-5y= -3/2
Step-by-step explanation:
Hope this helps