The blue dot is at what value on the number line?
2 answers:
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Answer:
Grows, Factor of 2
Step-by-step explanation:
The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:
For illustration, let us take the growth for the first three years after he started studying the number of branches.
We notice that for each subsequent year, the number of branches doubles.
Therefore:
Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>
Answer:
The amount of money after 12 years is $19581.99 to the nearest cents
Step-by-step explanation:
The formula of the compound continuously interest is V = P , where
- V is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ A person places $7320 in an investment account
∴ P = 7320
∵ The account earning an annual rate of 8.2%, compounded continuously
∴ r = 8.2% ⇒ divide it by 100 to change it to decimal
∴ r = 8.2 ÷ 100 = 0.082
∵ The time is 12 years
∴ t = 12
→ Substitute these values in the formula above to find V
∵ V = 7320
∴ V = 19581.99121 dollars
→ Round it to the nearest cents ⇒ 2 d.p
∴ V = 19581.99 dollars
∴ The amount of money after 12 years is $19581.99 to the nearest cents.