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olga55 [171]
3 years ago
8

An egg that has been falling for x seconds has dropped at an average speed of 16x feet per second. If the egg is dropped from th

e top of a building, its total distance traveled is the product of the average rate times the time. Write a simplified expression to show the distance the egg has traveled after x seconds
Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

average \: rate \: of \: fall = 16x \: feet \: per \: second \\ duration \: of \: fall \: (time) =  x \: seconds \\ distance \: of \: fall = 16x \: feet \: per \: second \times x \: seconds \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =x(16x) \: feet \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   = 16 {x}^{2} \: feet \\  \: the \: egg \: traveled \: 16 {x}^{2} \: feet \: in \: x \: seconds.
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2 years ago
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-
lapo4ka [179]

She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

<h3><u>Distributions</u></h3>

Given that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:

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  • 9900 x 0.07 + 3300 x 0.03 + 13800 x 0.02 = 693 + 99 + 276 = 1068
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  • 11400 x 0.07 + 3800 x 0.03 + 11800 x 0.02 = 798 + 114 + 236 = 1148
  • 10800 x 0.07 + 3600 x 0.03 + 12600 x 0.02 = 756 + 108 + 252 = 1116
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Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

Learn more about distribution in brainly.com/question/10250387

7 0
2 years ago
Someone please help me with number ten!!
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Answer:

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Using  the 2nd row it traveled 120 miles in 3 hours
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2 years ago
I bought my flat last year for £40,000. The value of my flat increased by 12% in September and then by a further 10%in January t
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The answer is: <span>40,000(1.12)(1.10)

Or 4 more understanding: 12% of £40000
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In January, the value was £44800. 
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Add £448 to £44800, giving you £45, 248
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