8 divided by 1/4 is the same as 8 multiplied by 4, which is 32
Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.
(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²
Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2
Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
= 3a^2b(cuberoot(b^2)) - 3a^2b^3(square root(3a))
answer is the first choice
Answer:
Formula: A = 48,000(1+0.02)^t
salary after 30 years: $ 86,945.35
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial salary
r = raising rate (decimal form)
t= years
A = salary after t years
Replacing with the values given:
A = 48,000 (1+ 2/100)^t
A = 48,000(1+0.02)^t
Salary after 30 years: substitute t=30
A = 48,000(1+0.02)^30
A = 48,000(1.02)^30
A=$ 86,945.35
Feel free to ask for more if needed or if you did not understand something.
