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AfilCa [17]
3 years ago
9

Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice

in the race. Assume theâ runner's speed at the finish line is zero.
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:

d=11*\frac{32}{60}\\d= 5.87\ mi

This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.

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You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.
Alinara [238K]

Answer:

a. $311,555.26

b. $500,000

c. $188,444.74

Step-by-step explanation:

The computation is shown below:

a. Here we have to determine the present value

Given that

PMT = $25,000

NPER = 20

RATE = 5%

FV = $0

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

after applying the above formula, the amount that need in the beginning is $311,555.26

b. The total money should be

= $25,000 × 20 years

= $500,000

c. The amount of interest is

= $500,000 - $311,555.26

= $188,444.74

6 0
3 years ago
Help please!!!
astra-53 [7]

Answer: 46 is your answer hope this helped

Step-by-step explanation:

7 0
3 years ago
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Find the axis of symmetry for this parabola y=-5x^2-10x-15 write it as an equation
Ksju [112]
Axis of symmetry is the x value of the vertex

the x value of the vertex, in form
y=ax^2+bx+c is -b/(2a)

so
y=-5x^2-10x-15
a=-5
b=-10

x value of vertex is -(-10)/(2*-5)=10/-10=-1
x=-1 is axis of symmetry
6 0
4 years ago
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HELP ME ITS TIMEDDDD
Talja [164]

Answer:

C) 58

Step-by-step explanation:

180-138=42

42+80=122

180-122=58

A= 58

7 0
3 years ago
What is similar about a line segment and a line? What is different
sergiy2304 [10]

Answer:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line. Line segments are only a line that goes from one point to another, and lines go on forever. However, a line segment is also part of a line.

Hope this helps!

3 0
3 years ago
Read 2 more answers
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