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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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The car is moving with a speed v0 = 48 mi/hr up the 4-percent grade, and the driver applies the brakes at point A, causing all w
lutik1710 [3]

Answer:

s = 0.2203 miles

Step-by-step explanation:

Given:

- The initial speed vo = 48 mi/hr

- The mass of the car m

- The coefficient of kinetic friction uk = 0.61

- The slope of the road 4-percent grade

Find:

Determine the stopping distance sAB. Repeat your calculations for the case when the car is moving downhill from B to A.

Solution:

- Apply the energy principle with work done against friction:

                             K.E_1 + P.E_1 = Wf + P_E_2 + K.E_2

- The final velocity of car is zero, K.E_2 = 0

  The initial potential energy is set as zero, P.E_1 = 0

                             K.E_1 = Wf + P_E_2

                             0.5*m*vo^2 = Ff*s + m*g*h

Where, Ff is the frictional force:

                             Ff = uk*N

Where, N is the normal contact force between car and road. By equilibrium equation we have:

                             m*g*cos(θ) - N = 0

                             N = m*g*cos(θ)

Hence,

                             Ff = uk*m*g*cos(θ)

- The vertical distance travelled h is:

                             h = s*sin(θ)

- The energy equation is:

                             0.5*m*vo^2 = uk*m*g*cos(θ)*s + m*g*s*sin(θ)

                             0.5*vo^2 = uk*g*cos(θ)*s + g*s*sin(θ)

                             s*(uk*g*cos(θ) + g*sin(θ) ) = 0.5*vo^2

                             s = [0.5*vo^2 / (uk*g*cos(θ) + g*sin(θ) ) ]

- The slope = 4 / 100,

                      s = [0.5*48^2 / (0.61*8052.97*cos(2.29) + 8052.97*sin(2.29) ) ]

                      s = 0.2203 miles

3 0
3 years ago
What is 18.345-10.67 and who ever helps me I will help them
Ymorist [56]
<span>18.345 - 10.67 = 7.675</span>
3 0
3 years ago
Read 2 more answers
NEED URGENT HELP!
sp2606 [1]
(3,9)(5,15)
slope = (15 - 9) / (5 - 3) = 6/2 = 3

y = mx + b
slope(m) = 3
(3,9)...x = 3 and y = 9
sub and find b, the y int
9 = 3(3) + b
9 = 9 + b
9 - 9 = b
0 = b

so ur equation is : y = 3x + 0....can be written as y = 3x.

after 12 months...
y = 3x...x = 12
y = 3(12)
y = 36 inches
6 0
3 years ago
How do you do this? It's geometry
antiseptic1488 [7]
45.

12/18 = 8/x <=> 2/3 = 8/x <=> x = (3*8)/2 = 12;
7 0
3 years ago
When written in standard form, the product of (3+x) and (2x-5)
Mariulka [41]

Answer:

2x^2+x-15

Step-by-step explanation:

6x-15+2x^2-5x

2x^2+x-15

5 0
2 years ago
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