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You have a pile of 45,000 candies. You are going to give away 18% every day. USING THE EXPLICIT EQUATION how many candies will you have left after 5 days. Round you answer to the nearest whole candy

You have a pile of 45000 candies You are going to give away 18 every day USING THE EXPLICIT EQUATION how many candies will you have left after 5 days Round you class=

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mhanifa

Answer:

  • 16683 candies

Step-by-step explanation:

Given:

  • Initial value is 45000.
  • Reduction per day is 18%.

The equation would be:

  • [tex]C(t) = 45000*(1 - 0.18)^t=45000*0.82^t[/tex], where C(t) is the number of candies left after t days

Find the value of C(5):

  • C(5) = 45000*0.82⁵ ≈ 16683 rounded

[tex]\\ \sf\longmapsto C(t)=P\left(1-\dfrac{R}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto C(t)=45000\left(1-\dfrac{18}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto C(t)=45000(1-0.18)^t[/tex]

[tex]\\ \sf\longmapsto C(t)=45000(0.82)^t[/tex]

Now

[tex]\\ \sf\longmapsto C(5)=45000(0.82)^5[/tex]

[tex]\\ \sf\longmapsto C(5)=45000(0.37)[/tex]

[tex]\\ \sf\longmapsto C(5)\approx16650[/tex]

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