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marshall27 [118]
3 years ago
8

The price of an iphone was reduced from $960 to $840. By what percentage was the price of the iphone reduced?

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

13.5%

Step-by-step explanation:

I hope this helps

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The population of a certain species of fish in a lake after t years is given by P(t)=18801 + 1.42e-0.037t. Find the horizontal a
Lunna [17]

Answer:

a) 188 fishes

b) 1259 fishes

Hope this helps!

4 0
3 years ago
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
Brain cells aren’t working right now sorry please help
balandron [24]

Answer:

Step-by-step explanation:

6 lol

7 0
3 years ago
Read 2 more answers
Lisa and Marie are both on the track team. During practice, Lisa ran 10 laps around
Zigmanuir [339]

Answer:

Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.

Step-by-step explanation:

18 ÷ 10 = 1.8 (Lisa's rate)

14 ÷ 8 = 1.75 (Marie's rate)

1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)

1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)

8 0
3 years ago
PLEASE ANWSER ASAPPPPLL I NEED IT QUICK PLS SHAWTY
Marianna [84]

Answer:

c

Step-by-step explanation:

3 and 3/7 ok hope it helps

5 0
3 years ago
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