Answer:
The answer to your question is f(g(x)) = x⁸ + 8x⁴ + 9
Step-by-step explanation:
Data
f(x) = x² + 2x - 6
g(x) = x⁴ + 3
(fg)(x)
Process
1.- Substitute g(x) in f(x)
f(g(x)) = (x⁴ + 3)² + 2(x⁴ + 3) - 6
2.- Simplify
f(g(x)) = x⁸ + 6x⁴ + 9 + 2x⁴ + 6 - 6
3.- Result
f(g(x)) = x⁸ + 8x⁴ + 9
Obtuse angles is more than 90°
Answer:
The time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Step-by-step explanation:
Given
- Principle Amount P = $440
- Interest rate r = 5.6% = 0.056
To determine:
Time period t = ?
Using the formula

solving for t
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values A = 640, P = 440, n = 365 and r = 0.056
t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )
t = 6.691
t ≈ 7 (nearest year)
Therefore, the time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Answer:
(6,7)
Step-by-step explanation:
The length of the new vector is
, with side lengths 7 and 6. Therefore, the new coordinates are (6,7). Hope this helps!
Answer:
Step-by-step explanation:
It’s 168 because it’s area and area means multiplication, so you would do 14 x 12 = 168