4 years ago

A machine produces

Mathematics

1 answer:

FrozenT [24]4 years ago

3 0

275. I divided 440 by 48 and then multiplied the answer by thirty.

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Answer:

8.31 weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

$S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\ \Rightarrow 180 = 120\left(1.05 )^t \\\\$

$\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t$

$\Rightarrow \ln(1.5)=t \ln(1.05)$ [taking log both sides]

$\Rightarrow t=\frac {\ln(1.5)}{\ln(1.05)}=8.31$ weeks

Hence, after 8.31 weeks the stock has been sold for $180.

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3 years ago

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