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3 years ago

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

maksim [4K]

62.92 meters, 63.37 meters, 63.7 meters

4 0

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
Time difference = 20 min = 1/3 hr
Speed difference = 2 km/h

As per above info we get following equations:

s = d + 2
20/s + 1/3 = 20/d

Substitute s and solve for d:

20/(d + 2) + 1/3 = 20/d

Get rid of fraction by multiplying all terms by 3d(d + 2):

60d + d(d + 2) = 60(d + 2)
60d + d² + 2d = 60d + 120
d² + 2d = 120
d² + 2d + 1 = 121
(d + 1)² = 11²
d + 1 = 11
d = 10

Find s:

s = 10 + 2 = 12

The answer is

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
93/100= .93 cost per muffin

4 0

2 years ago

4in 10in use the dimension to find valuemos the candle round to the nearest hundreds

lilavasa [31]

Answer:

Umm let me see

Step-by-step explanation:

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3 years ago