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Natali [406]
3 years ago
14

the amount of money in an account with continuously compounded interest. calculated to the nearest tenth of a year how long it t

akes for an amount of money to double if interest is compounded continuously at 5.2%
Mathematics
1 answer:
pentagon [3]3 years ago
6 0
You will need this formula:
Years = ln (Total / Principal) / rate
(where "ln" means natural logarithm)
and we'll use $100 and $200 for beginning and ending amount
Years = ln (200 / 100) / rate
Years = 0.69314718056 / .052
Years = <span> <span> <span> 13.3297534723 </span> </span> </span>
Rounding to the nearest tenth of a year:
Years = <span> <span> <span> 13.3

Source:
http://www.1728.org/rate2.htm

</span></span></span>

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Which graph shows the solution to the system of linear inequalities?
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Observe the attached image.

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<u>Cut with the y axis: </u>

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0 = \frac{2}{3}x + 3

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x = -4.5

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<u>Cut with the y axis: </u>

y = 2

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0 = \frac{1}{3}x + 2

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The region is made up of all the points that are on the line and below y = \frac{1}{3}x +2

The final region will be the interception of both regions

Observe the attached image.

The system shown in the image you attached is:

y > \frac{2}{3}x + 3\\\\y \leq -\frac{1}{3}x + 2

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