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nexus9112 [7]
3 years ago
7

the scale from a square exercise mat in a gymnastic arena to a scale copy of the exercise mat is 8 m for every 2 in. The actual

area of the exercise mat is 144m2. What are the dimensions of the mat on the scale copy?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer: 18 and 36

Step-by-step explanation:

The scale is 8m for every 2 in and the actual area is 144m2 so we need to covert that into inches. You divide 144 by 8 which = 18 and then multiply 18 x 2 which is equal to 36.

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Maria has a portfolio consisting of 7 shares of stock A (purchased for $70 per share) and 4 shares of stock B (purchased for $10
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Answer:

Hence, the expected rate of return after 1 year for Mary's portfolio is 0.17751

Step-by-step explanation:

We have,

Purchase 7 shares of stock A  for $70 per share and 4 shares of stock B for $100 per share then The expected rate of return after 1 year for Mary's portfolio.

Weight invested in stock A is W_x=\frac{7\times 70}{7\times 70+4\times 100}

                                               \Rightarrow W_x=\frac{490}{490+400}\\\Rightarrow W_x=\frac{490}{890}\\\Rightarrow W_x=\frac{49}{89}\\\Rightarrow W_x=0.5505

Weight invested in stock B isW_y=\frac{4\times 100}{7\times 70+4\times 100}

                                             \Rightarrow W_y=\frac{400}{490+400} \\\Rightarrow W_y=\frac{400}{890} \\\Rightarrow W_y=\frac{40}{89} \\\Rightarrow W_y=0.4494

The expected value of the rate of return=W_x\times\;\text{expected rates of stock A}+W_y\times\;\text{expected rates of stock B}

=0.5505\times0.02+0.4494\times0.15

=0.01101+0.06741

=0.17751

4 0
3 years ago
The table at the right shows how much Tony earns per hour for his summer jobs one day Tony spends 3 hours running errands he wan
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Answer:

Step-by-step explanation:

The table at the right shows how much tony earns per hour for his summer jobs one day tony spends 3 hours running errands he wants to use the money from his job to buy two banners.

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3 years ago
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3 years ago
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Answer:

Step-by-step explanation:

Let w be the width

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