Answer:
14.5, 13, 11.5
Step-by-step explanation:
The general term (an) of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 + d(n-1)
Then the 8th term is ...
a8 = a1 + d(8-1)
and the 12th term is ...
a12 = a1 + d(12-1)
So, the difference between these terms is ...
a12 -a8 = (a1 +11d) -(a1 +7d) = 4d
= (-2-4) = -6 . . . . . substituting values for a12 and a8
Then the common difference is
... d = -6/4 = -3/2
Using this, we can find a1 from a8.
4 = a1 +7·(-3/2) = a1 - 10.5
14.5 = a1 . . . . . . . add 10.5 to both sides of the equation
This is the first term. The second is this value with the common difference added:
14.5 + (-1.5) = 13
The third term is this with the common difference added:
13 + (-1.5) = 11.5
In summary, the first three terms are ...
14.5, 13, 11.5
Given A = {(1, 3)(-1, 5)(6, 4)}, B = {(2, 0)(4, 6)(-4, 5)(0, 0)} and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3, 5)}, answer the following
Nuetrik [128]
Answer:
Domain of set B: {2, 4, -4, 0}
Step-by-step explanation:
The domain of the function whose ordered pairs are listed in set B is the set of first numbers of those pairs: {2, 4, -4, 0}.
_____
<em>Comment on the question</em>
A "set" does not have a domain. A "function" has a domain. To make any sense of this question, we have to interpret the question to mean the function described by the ordered pairs in the set.
49.75 - 8 = 41.75. 41.75 / 1.369 = 30.4967129. Let's round it to 2 decimal points, which is 30.5. The maximum number of litres of gasoline that Terri can purchase is 30.5. If m= money, c= price of car wash and g= price of gasoline per litre, the equation is (m - c) / g.
I believe that the value of x is equal to 4
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
