Answer: 1/7
Step-by-step explanation: Seven possibilities and one outcome so it is 1/7
Answer:
x = 43/12
y = - 35/6
Step-by-step explanation:
4x + 4y = -9
y = 2x - 13
4x + 4(2x - 13) = - 9
4x + 8x - 52 = - 9
12x = 52 - 9
12x = 43
x = 43/12
y = 2×43/12 - 13
y = 86/12 - ¹²⁾13
y = (86 - 156)/12
y = - 70/12
y = - 35/6
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:

<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 8% into a decimal:
8% ->
-> 0.08
Now, lets plug in the values:


The account balance after 10 years will be $13,695.98
Answer:
x = 5
Step-by-step explanation:
√(2x − 1) + 2 = x
√(2x − 1) = x − 2
2x − 1 = (x − 2)²
2x − 1 = x² − 4x + 4
0 = x² − 6x + 5
0 = (x − 1) (x − 5)
x = 1 or 5
Check for extraneous solutions.
√(2(1) − 1) + 2 = 1
√(1) + 2 = 1
3 = 1
No solution
√(2(5) − 1) + 2 = 5
√(9) + 2 = 5
5 = 5
x = 5