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Bad White [126]
3 years ago
10

A leprechaun places a magic penny under a? girl's pillow. The next night there are 2 magic pennies under her pillow. Each night

the number of magic pennies doubles. How much money will the girl have after 23 ?nights?
Mathematics
2 answers:
SIZIF [17.4K]3 years ago
6 0

Answer: The girl will have $524.288 (524,288 pennies) after 19 nights.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Each night the number of magic pennies doubles </em>
  • <em>Nights passed: 23 </em>

So, we have to write an exponential expression where the initial value (a) is 1, the multiplicative rate of growth (b) is 2, and the time period (x) is 19.

Mathematically speaking: (where "y” is the total money)

y = ab×

y = 1 x (2) ∧19 = 524,288 pennies

Since 1 dollar = 100 pennies,

524,288 / 100 = $524.288

The girl will have $524.288 (524,288 pennies) after 19 nights.

Flura [38]3 years ago
5 0

Doubling the number every night will result in 4,194,304. How can that girl possibly sleep now with all those magic pennies?

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\bold{\huge{\underline{ Solution\: 2 }}}

  • The name of the circle is <u>IJKL</u>
  • The name of central Angle
  • \sf{\underline{= {\angle} IHJ }}
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{\bigstar}Circle :- It is a round figures, which has no end points.

{\bigstar} Central angle :- It the angle ,which lie in the middle of the circle.

  • Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

{\bigstar} Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

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\bold{\huge{\underline{ Solution\: 3 }}}

  • Semicircle = FGH and FIH
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{\bigstar} Semicircle :- Semicircle is nothing but the half of the circle.

<u>Here</u><u>, </u><u>In </u><u>second </u><u>diagram </u>

  • FGH and FIH are acting as two semicircles which simulatineously forming one circle.

{\bigstar} Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

<u>Here</u><u>, </u>

  • FG or GH are the minor arc of the given circle.

{\bigstar} Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

<u>Here</u><u>, </u>

  • FHG or GFH is the major arc as it is larger than the semicircle of the given circle .
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