Answer:
Step-by-step explanation:
It is an obtuse triangle because one angle (5) takes up more than the sum of the other two (3+1=4).
The angles are:
5+3+1 = 9
Each angles is
5/9 * 180 = 100°
3/9 * 180 = 60°
1/9 * 180 = 20°
Total = 100+60+20 = 180 degrees.
You just need to foil. 2x times 4x times 2x times 36 times 24 times 4x times 24times 36. then solve.
10y+x²
10(5)+(2)²
10(5)+4
50+4
54
Therefore, the expression has a value of 54.
Answer:
21. y = 75000·0.935^t
22. after 74.6 days
23. y = 27.8112·1.18832^t
24. 18.8% per month
25. 1748
Step-by-step explanation:
22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)
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23. y = 27.8112·1.18832^t (see the second attachment)
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24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.
(1.18832 -1) × 100% ≈ 18.8% . . . . per month
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25. Evaluating the function for t=24 gives y ≈ 1748.30425259 ≈ 1748.
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<em>Comment on graphing calculator</em>
A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.