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olga2289 [7]
3 years ago
7

How long will it take an account with a 6.7% interest rate, compounded continuously to double?

Mathematics
1 answer:
liraira [26]3 years ago
7 0
2p=pe^0.067t
2=e^0.067t
t=(log(2)/log(e))/0.067
T==10.3 years
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A football is kicked from the ground and follows the graph of the function y = –t2 + 3t, where y represents height and t represe
vesna_86 [32]

Answer:

The height of the objects are the same after 2 seconds.

Step-by-step explanation:

In order to calculate at which time both objects have the same height we need to find the value of t that makes both equations equal. Therefore:

-t^2 + 3t = -t + 4\\t^2 - 3t - t + 4 = 0\\t^2 - 4t + 4 = 0\\t_{1,2} = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*4}}{2*1} = \frac{4 \pm \sqrt{16 - 16}}{2}\\t_{1,2} = \frac{4}{2} = 2

The height of the objects are the same after 2 seconds.

8 0
3 years ago
In a discus competition an athlete threw the discus 63.37 meters 62.92 meters and 63.7 meters order the distances from least to
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62.92 meters, 63.37 meters, 63.7 meters
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3 years ago
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
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<u>As per above info we get following equations:</u>

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<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
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<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
3 0
3 years ago
McSaw’s Ice Cream makes muffins that cost $.60 each. Past experience shows that 10% of the muffins will become stale and have to
Temka [501]
.60×.55=.33 cent mark up to original price
.60+.33=.93 cost per muffin

.6×100=60×.55=93 cost for 100 muffins
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4 0
2 years ago
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Answer:

Umm let me see

Step-by-step explanation:

6 0
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