Answer:
165 liters of 15% solution
Step-by-step explanation:
15F + 65S = 60(1650)
F + S = 1650
F = 1650-S
15(1650-S) +65S = 99000
50S = 99000-24750= 74250
S = 74250/50 = 7425/5 = 1485 liters of 65% solution
F = 1650-1485 = 165 liters of 15% solution
65 is much closer to 60 than 15 is, so you know there will be mostly 65% solution with relatively little 15%
Hope this helps, have a nice day/night! :D
Step-by-step explanation:
1/3(6+3)
= 1/3(9)
= 3
......
Answer:
4
Step-by-step explanation:
Multiplication Property of equality.
multiply 5 on both side to have x alone on One side.
Answer:
15000(1.003425)^12t ;
4.11%
4.188%
Step-by-step explanation:
Given that:
Loan amount = principal = $15000
Interest rate, r = 4.11% = 0.0411
n = number of times compounded per period, monthly = 12 (number of months in a year)
Total amount, F owed, after t years in college ;
F(t) = P(1 + r/n)^nt
F(t) = 15000(1 + 0.0411/12)^12t
F(t) = 15000(1.003425)^12t
2.) The annual percentage rate is the interest rate without compounding = 4.11%
3.)
The APY
APY = (1 + APR/n)^n - 1
APY = (1 + 0.0411/12)^12 - 1
APY = (1.003425)^12 - 1
APY = 1.04188 - 1
APY = 0.04188
APY = 0.04188 * 100% = 4.188%
Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>

(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:

Collect like terms and subtract 4 from both sides:

Complete the square for both variables by adding the square of half of the coefficient of
and
to both sides:


Factor both variables:

Therefore:
- center = (-2, 6)
- radius = √36 = 6