Answer:
A. 52°
Step-by-step explanation:
The measure of an inscribed angle is 1/2 the measure of the intercepted arc.
m∠B = 1/2 (m of arc AC)
26 = 1/2 (m of arc AC)
52 = (m of arc AC)
Answer:
20.8
Step-by-step explanation:
The chord with length x is bisected by the perpendicular segment.
Use the Pythagorean theorem to find the length of half of x.
Let's call half of x, y.
y^2 + 6^2 = 12^2
y^2 = 144 - 36
y^2 = 108
y = sqrt(108)
x = 2y = 2sqrt(108)
x = 20.8
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
