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garri49 [273]
3 years ago
10

A fountain originally costs $100, but it is on sale for 35% off. If a customer buying the fountain has a coupon for $12.00 off o

f any purchase, what will his final price be on the fountain?
Mathematics
1 answer:
N76 [4]3 years ago
6 0
We need to find the price of the fountain first then after the coupon. Luckily, it originally costs 100. So, it won’t be hard to find 35% off since 1%=1. 100-35=65
We gave 65 and we need to take 12 off of it.
65-12
53
So the final price will be $53.
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At time t>=0, the acceleration of a particle moving on the x-axis is a(t)=t+sin(t). At t=0, the velocity of the particle is -
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Answer:

The velocity of the particle will be zero for  t = 1.47 sec .

Step-by-step explanation:

Given equation:

                                           a(t)=t+sin(t)

lets integrate it with respect to time,

                                           ∫ a(t) dt = ∫(t+sin(t)) dt

                                      ⇒ v(t) = \frac{t^{2} }{2} - cos(t) +c

At, t=0, v= -2 so,

                                     ⇒ -2 = 0 - 1 +c

                                     ⇒ c= -1

Hence,

                                     v(t) = \frac{t^{2} }{2} - cos(t) -1

for the velocity to be zero,

                                     0 =  \frac{t^{2} }{2} - cos(t) -1

                                ⇒  t = 1.47 sec (taking only positive value)

So at 1.47 sec the velocity of particle will be zero.

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