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Tresset [83]
3 years ago
11

I need help fast, thanks :)

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
Emily starts from rest so that the velocity is zero at 0 hours.

Define the function v(t) for velocity in km/h, and t in hours.

Part A
From t=0 to t=4, v changes from 0 to 14.
Let v(t) = mt + b
The slope is
m = 14/4 = 3.5, and the y-intercept is
b = 0.
Therefore
v(t) = 3.5t, for 0 ≤ t ≤ 4

Fromt=4 to t=9, changes from 14 to 4.
Let v(t) = mt + b
The slope is
m = (4 - 14)/(9 - 4) = -2
Therefore
v = -2t + b
When t=4, v=14, therefore
14 = -2*4 + b = -8 + b
22 = b
v(t) = -2t + 22, for 4 < t ≤ 9.

Answer:
The equation for the velocity is
v(t) = 3.5t, 0 ≤ t ≤ 4
= -2t + 22, 4 < t ≤ 9

Part B
The equation for velocity is a piecewise function that is graphed as shown below. If we assume that the second part of the equation is valid at t=10, then
v(10) = -2*10 + 22 = 2 km/h

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Use the rule of 78 to find the finance charge refund if the Finance charge was $476 on a 12 month payment plan and the loan was
Lelu [443]

Answer:

finance charge refund is $91.53

Step-by-step explanation:

given data

finance charge F = $476

time t = 12 month

no of payment n = 5

to find out

finance charge refund

solution

we will apply here finance charge refund formula that is

finance charge refund = F × \frac{n * (n+1)}{t* (t+1)}

put here value we get

finance charge refund = 476 × \frac{5 * (5+1)}{12* (12+1)}

finance charge refund = 476 × \frac{5 * (6)}{12 * (13)}

finance charge refund = 476 × \frac{30}{156}

finance charge refund = 476 × 0.1923

finance charge refund = 91.53

so finance charge refund is $91.53

4 0
3 years ago
Please help me out with this
adoni [48]
The numbers in the chart are -7.1, -3.4, -1.2, 2.1, and 3.4. So, from greatest to least the numbers will be:

3.4, 2.1, -1.2, -3.4, and then -7.1.

With absolute value, the numbers from greatest to least are: 

|7.1|, |3.4|, 3.4, 2.1, |1.2|.

However, this is assuming that Friday is 3.4, which was given information on the last question. Hope this helps!
4 0
3 years ago
How do I give brainlist?
Fofino [41]

Answer:

If two people have answered, you chose the one you want to give brainliest, and give them a crown on their answer.

Step-by-step explanation:

5 0
3 years ago
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What is 9.66 rounded to the nearest tenth
nikitadnepr [17]
9.66
   ^ This is the tenths place.

Look at the number after it, if it's 5 or more we round up, if it's 4 or less we round down.

The number is 6, so we round up to 9.7.

6 0
3 years ago
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How to do 2x+4=12 plz show how you got it
OverLord2011 [107]
2x + 4 = 12

We're simply just trying to isolate x.

So, we must get x onto it's own side of the equal sign :)

Our first step is to subtract 4 from both sides.

2x + 4 - 4 = 12 - 4

Simplify.

2x = 8

Then, we divide both sides by 2.

2x ÷ 2 = 8 ÷ 2 

Simplify.

x = 4

----------

To check your work, simply plug in the value of x into x in the original equation.

In this problem, x = 4, so plug in 4 for x.

2x + 4 = 12

2(4) + 4 = 12

Simplify.

8 + 4 = 12

12 = 12

Therefore, x = 4

~Hope I helped!~
8 0
3 years ago
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