If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?
1 answer:
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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.
Answer:
The total area of both rooms and the aquarium is equal to 10,932 ft²
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
the length sides of Aquarium are
(83-32) x (72-52)-----> 51 ft x 20 ft
Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²
[ total area of both rooms]=2*4,956-----> 9,912 ft²
I'm assuming that the two areas are equal
Area of aquarium=51*20=1,020 ft²
therefore
the total area of both rooms and the aquarium is equal to
9,912 ft²+1,020 ft²=10,932 ft²
