When A=300, solve the equation x^2 - 40x + A = 0 by factorising
1 answer:
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Answer:
B. + 2x³ - 8x² - 22x - 15
Step-by-step explanation:
1. (3x² - 2x - 3)(5x² + 4x +5)
+ 12x³ + 15x² - 10x³ - 8x² - 10x - 15x² - 12x - 15
2. Combine like terms
+ 2x³ - 8x² - 22x - 15
Answer:
Approximately 22.97 years
Step-by-step explanation:
Use the equation for continuously compounded interest, which uses the exponential base "e":
Where P is the principal (initial amount of the deposit - unknown in our case)
A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)
k is the interest rate : 5% which translates into 0.05
and t is the time in the savings account to triple its value (what we need to find)
The formula becomes:
To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function: