Hello,
1) p∧(q∨¬p)=(p∧q)∨(p∧¬p)=p∧q proof:
2)
p|q|¬p|q∨¬p|p∧(q∨¬p)|p∧q
0|0|..1|.......1|..............0|0
0|1|..1|.......1|..............0|0
1|0|..0|.......0|..............0|0
1|1|..0|.......1|..............1|1
Given that Amistad deposited $2,163.27 in a savings account that earns 3.9% simple interest.
That means we need to use Simple interest formula to find the Amistad's account balance in nine months.
Simple interest formula is
A=P(1+RT)
Where P= principal amount = $2163.27
R= rate of interest = 3.9%= 0.039
T= time in years = 9 months = 9/12 years = 0.75
Now plug these values into above formula:
A=2163.27(1+0.039* 0.75)
A=2163.27(1+0.02925)
A=2163.27(1.02925)
A=2226.5456475
Hence Amistad's account balance in nine months will be approx $2226.55
The answer is Step 2.
The exponential equation is: 3ˣ⁺¹ = 15.
Step 1: log3ˣ⁺¹ = log15
Step 2: (x + 1) * log3 = log15
Step 3: x + 1 = log 15 / log 3
Step 4: x + 1 = 1.18 / 0.48
Step 5: x + 1 = 2.46
Step 6: x = 2.46 - 1
Step 7: x = 1.46
Answer: Small number = 15.
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
The larger of two numbers is five more than the smaller. Thus, the larger number is x+5.
Twice the larger is twenty less than four times the smaller. This can.be written as:
2(x + 5) = 4x - 20
2x + 10 = 4x - 20
2x - 4x = -20 - 10
-2x = -30
x = 30/2
x = 15
The smaller number is 15
Larger number = x + 5 = 15 + 5 = 20
Answer:
yes
Step-by-step explanation:
