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WARRIOR [948]
3 years ago
9

A model car has a scale of 1:25. The length of the model when built is 9.6 in. What is the length of the actual car?

Mathematics
1 answer:
madreJ [45]3 years ago
6 0
The length of the actual car is 240 inches 

1/25 = 9.6/x
25x9.6/1=240
x=240 inches

Hope this helped you! :D
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1.Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation t
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1)\text{   }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

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Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

2) we need to find the remaining amount of Arsenic-74 after 70 days

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\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}

So after 70 days, 5.625 mg will be left

4 0
1 year ago
Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her tota
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Based on the calculations, the amount of money she invested is equal to $3,520.

<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

  • Let x be the amount of money she invested at 11%.
  • Let y be the amount of money she invested at 14%.

Since Lydia invested the same amount of money in both stocks, we have:

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At the two interest rates, the total amount Lydia gets is given by:

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Solving the equations simultaneously, we have:

0.11y + 0.14y = 440

0.25y = 440

y = 440/0.25

y = $1,760.

Thus, the total investment is given by:

Total investment = 1760 + 1760

Total investment = $3,520.

Read more on interest rates here: brainly.com/question/16793428

#SPJ1

8 0
2 years ago
Help! I can’t figure out what the number is.
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Mary and James each sit in a row of 7 chairs. They choose their seats at random. What is the probability that they don't sit nex
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