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.
12% previously owned a Widows computer; 71% previously owned a Macintosh computer. The percentage that owned either is the sum of these, 83%.
The appropriate selection is
C) 83%
Answer:
61 adults
Step-by-step explanation:
maximum weight is 3 3/4 tons=7500 pounds
average adult weighs=122 pounds
maximum number of adults= 7500/122= 61.47
we can round up and the answer will be a maximum of 61 adults
Answer:
x = 2
y = 1
Step-by-step explanation:
y = 5 - 2x (1)
3x - 2y = 4 (2)
From (1), substitute in (2)
3x - 2(5 - 2x) = 4
3x - 10 + 4x = 4
Collecting like terms
3x + 4x = 4 + 10
7x = 14
x = 2
Since x = 2
Therefore
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1