Answer:
17.9
Step-by-step explanation:
3.7²+17.5²=319.94
= 17.9
Given expression is 35, 36, 37, 38...
First term a = 35
Common difference d = 36-35 = 1
Nth term of arithmetic sequence is:


To find the 100th term, substitute n = 100


Correct option is B
Answer:
C. 
Step-by-step explanation:
To find the value f b, we need to compare the exponents.
The given exponential equation is:

Recall and apply the following rule of exponents.

We apply this rule on both sides to get:

Simplify the exponents on the left.

Comparing exponents of the same variables on both sides,


Divide both sides by 6.


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.
5^(x² - 2x) = 1
5^(x²) - 5^(2x) = 1
5^x² - 5²x = 1