Question

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

Answer 1

Answer:

• 16683 candies

Step-by-step explanation:

Given:

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

The equation would be:

• $C(t) = 45000*(1 - 0.18)^t=45000*0.82^t$, 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

Answer 2

$\\ \sf\longmapsto C(t)=P\left(1-\dfrac{R}{100}\right)^t$

$\\ \sf\longmapsto C(t)=45000\left(1-\dfrac{18}{100}\right)^t$

$\\ \sf\longmapsto C(t)=45000(1-0.18)^t$

$\\ \sf\longmapsto C(t)=45000(0.82)^t$

Now

$\\ \sf\longmapsto C(5)=45000(0.82)^5$

$\\ \sf\longmapsto C(5)=45000(0.37)$

$\\ \sf\longmapsto C(5)\approx16650$