Step-by-step explanation:
Factor by grouping,
Complete the square, with the x variables,
Factor out 25 for the y variables
Complete the square
Simplify the perfect square trinomial
Make the right side be 1 so divide everything by 25.
Here our center is (7,2).
Answer:
9.9 years
Step-by-step explanation:
A = P e ^(rt)
Where A is the amount in the account
P is the amount invested
R is the interest rate
t is the time
P = 8500
r =7% = .07
A = 17000
Substituting into the equation
17000=8500 e^(.07t)
Divide each side by 8500
17000/8500=8500/8500 e^(.07t)
2 = e^(.07t)
Take the natural log of each side
ln (2) = ln e^(.07t)
ln(2) = .07t
Divide each side by .07
ln(2)/.07 = .07t/.07
ln(2)/.07 = t
9.902102579=t
Rounding to one decimal place
9.9 years
You work 50 -40 = 10 extra hours per week but get paid for 1.5 times that, or 15 extra hours. In all, you're paid for 40 +15 = 55 hours per week.
.. (55 h/wk)*(4 wk/mo)*($16/h) = $3520/mo
Your gross pay for the month (4 weeks) will be $3,520.
Answer:
A≈530.93in²
Step-by-step explanation:
Answer:
u = 1
Step-by-step explanation:
First, we can use inverse operations to help.
27 + 9u = 36
Next, we can start replacing u with numbers to find which number fits in u.
27 + 9(1) = 36
27 + 9(2) ≠ 36
27 + 9(3) ≠ 36
Now, we know that u = 1
