Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
Subtract the chance they have of winning from 100%:
100% - 14% = 86% chance of not winning.
Answer:
$912
Step-by-step explanation:
First, find the tax.
Multiply the tax rate by the price.
tax rate * price
The tax rate is 14% and the price is $800.
14% * 800
Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.
14/100=0.14
14.0–> 1.4 —> 0.14
0.14 * 800
Multiply
112
The tax is $112.
Now find the total bill.
Add the tax and the price.
tax + price
The tax is $112 and the price is $800.
$112 + $800
Add
$912
The final bill is $912.
Answer: $ 81,000
Step-by-step explanation:
After ACC Spellman Company deposits its $ 100,000 into Itsa Bank, Itsa will have $ 90,000 as maximum allowable amount to loan to company B Bugle since it has to reserve 10% of the $ 100,000 or $ 10,000.
When That There Bank receives the $ 90,000, it can loan out $ 81,000 as a maximum amount and reserve $ 9000 ( 10% of 90,000) .
Answer:
Step-by-step explanation:
7x > 7, o 7(x > 1).
