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IrinaVladis [17]
3 years ago
11

The value of a new car purchased for $20,000 decreases by 10% each year. Write an

Mathematics
1 answer:
Elena-2011 [213]3 years ago
6 0

20000 x 90/100 = 18000

18000 x 90/100 = 16200

The value of the car after 2 years is $16200

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a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0
3 years ago
A box of cereal contains 510 grams of cereal. To make a bowl of cereal, n grams of cereal is removed from the box. What equation
mrs_skeptik [129]

Answer:

its 34

Step-by-step explanation: i

3 0
3 years ago
The difference 2/5(d−10)−2/3(d+6) is
spin [16.1K]

Let's simplify step-by-step.

2/5(d−10)−2/3(d+6)

Distribute:

= (2/5)(d)+(2/5)(−10)+ −2/3d+ −4

= 2/5d+−4+ −2/3d+ −4

Combine Like Terms:

= 2/5d+−4+ −2/3d+ −4

= −4/15d+−8

And your answer is...

= −4/15d+−8

plz mark me as brainliest if this helped :)

6 0
3 years ago
Read 2 more answers
Determine if the point (12, 20) is on the<br> graph of y = 2x – 5. Justify your answer.
Anna [14]

Answer:

456[67]98

Step-by-step explanation:

7 0
3 years ago
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Mary leaves London at 12:00 and expected to arrive in Dorset at 13:00, however she had to detour due to road works eventually ar
Andreyy89
So she started at 12 and ended at 14
14-12=2

she traveled for 2 hours

50miles per hour or 50m/h
(m=miles not minutes)
2 hours so
2h times 50m/h
100miles traveled
7 0
3 years ago
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