x is 12 as 2 plus 10 so that you can write the value or tell the value
We can change the law of sines a little bit to match our problem.
We know what angle Y is and what side y is, so let's use that along with angle Z and side z:
Plug in what we know:
Multiply 'z' to both sides:
Divide sin(51)/2.6 to both sides:
Plug it into your calculator.
12 m is the area! hope i could help
The answer to this would be $30.67
First of all APR is the wrong term for interest earned on a deposit. So
I'm going to guess that you really mean simple interest.
Step one figure the amount in the emergency fund. Since the monthly
expenses are $1,157.65, you multiply 4 months times $1,157.65:
4($1,157.65) = $4,606.60
Step 2, figure out how much is 25% of $4,606.60. So change the percent
in a decimal by moving the decimal to the left two places.
So 25.0 becomes .25. Or you could divide 25 by 100 and get .25
Next multiply .25 times $4,606.60 and you get $1,151.65 for the amount
in the savings account.
Step 3, subtract the amount in deposited in the savings account from the total amount in the emergency fund.
So you $4,606.60 minus $1,151.65 Which gets you $3,454.95 in the CD.
Step 4, Calculate the interest earned in the savings account. Since the
savings account earns 3.3% a year and there are 365 days in a non leap
year, divide 3.3% by 365 to find out how much interest is earned a day
and multiply it times the amount in the savings account.
First change 3.3% to a decimal by moving the decimal point to the left
two places. Which gets us .033
So .033 divided by 365 times $1,151.65 Which gets us about $0.104 in
interest a day.
Finally, multiply the interest earned each day by 60 days. $0.104 times
60
Which gets us about $6.25 in interest earned on the savings account for
60 days.
Step 5, Find the interest earned on the CD. Since the CD earns 4.3%
interest a year and there are 365 days in a non leap year, divide 4.3%
by 365 to find out how much interest is earned a day and multiply it
times the amount in the CD.
First change 4.3% to a decimal by moving the decimal point to the left
two places. Which gets us .043.
So .043 divided by 365 times $3,454.95 Which gets us about $0.407 in
interest a day.
Finally, multiply the interest earned each day by 60 days. $0.407 times
60. Which gets us about $24.42 in interest earned on the CD for 60 days
Step 6, The total interest earned on the savings account and the CD is:
$24.42 + 6.25 = $30.67
Answer:
A) 0.1636
B) 0.7292
C) 0.0305
Step-by-step explanation:
This is a binomial probability distribution question that follows;
P(X = x) = nCx × p^(x) × q^(n - x)
In this case, p = 64% = 0.64
q = 1 - p = 1 - 0.64 = 0.36
Thus;
A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636
B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424
P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462
P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642
P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649
P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115
Thus;
P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115
P(x ≥ 6) = 0.7292
C) P(x < 4) = P(0) + P(1) + P(2) + P(3)
From online binomial probability calculator, we have;
P(x < 4) = 0.0305
