Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
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When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
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To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.
Answer:
The answer should be 150 x .20 = 30m/s
The term "exponential growth" refers to a very rapid increase in number while the term "exponential decay" refers to a very rapid decrease in number.
<h3>Exponential growth</h3>
The "exponential" typically connotes something that happens very rapidly. Hence, it is safe to say that a suitable synonym for the word "exponential" is the word "rapid".
Hence, "exponential growth" refers to a very rapid increase in number while the term "exponential decay" refers to a very rapid decrease in number.
Learn more about exponential growth: brainly.com/question/1340582
If you use a proportion, you'll get:
Then, you use cross products:
Then, you algebraically solve x:
The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
