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Paladinen [302]
3 years ago
9

Someone please help me

Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

Answer:

364.8 ft^2.

Step-by-step explanation:

I  assume you want the area of the figure.

Total area = area of the top triangle + area of the trapezium

= 1/2 * base * height + 1/2 * height * ( sum of the parallel sides)

= 1/2 * 18 * 6 + (14/2)( 18 + 26.4)

=  54 + 310.8

= 364.8 ft^2.

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Answer:

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Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

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A=P\left(1+r\right)^t

Then we get equation for motorcycles and cars as:

A=5.75\left(1+0.16\right)^t

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Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}

\left(\frac{1.25}{1.16}\right)^t>1.64285714286

t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)

t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}

t>6.6436473051

Hence final answer is approx 6.644 years.

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