9514 1404 393
Answer:
60, 57, 54, 51, ...
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
We would like to find the first term (a1) and the common difference (d). We can use the two given terms to find these parameters.
a10 = 33 = a1 +d(10 -1)
a22 = -3 = a1 +d(22 -1)
Subtracting the first equation from the second, we get ...
(-3) -(33) = (a1 +21d) -(a1 +9d)
-36 = 12d
-3 = d
Using this value in the first equation, we can find a1.
33 = a1 +9(-3) = a1 -27
60 = a1 . . . . . . . . . . . . . . add 27 to both sides
So, our sequence has first term 60 and a common difference of -3.
The first 4 terms are ...
60, 57, 54, 51, ...
Answer:
(0.118, 4.882)
Step-by-step explanation:
If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;
Distance = Speed * time
da = 120m
If he drives n hours at 18km/hr;
db = 18 * n
db = 18n
Speed of the motorist altogether is expressed as;
Speed =78km/5hrs
Speed = 15.6km/hr
SInce the total distnce is 78km
120m + 18n = 78 ....1 ..... * 1
If total time is 5hrs
m + n = 5....2 ...*18
Solve simultaneously
120m + 18n = 78
18m + 18n = 90
Subtract
120m - 18m = 78-90
102m = -12
m = 0.118 hrs
m =
Since m + n = 5
n = 5 - m
= 5 - 12/102
n = 4.882
Hence (m,n) is (0.118, 4.882)
Answer:I belive the sale price is $11.65
Step-by-step explanation:
$12.00-$0.35
sorry if im wrong
Our starting value: $89.50.
Deposits means putting money in the account, so money will increase.
Withdrawal means that you are depleting the account, so money will decrease.
1. 11/4 - Deposited $17.25
So you will add $89.50 + $17.25 = $106.75
2. 11/4 = Withdrawal $35.90
So you will subtract $106.75 - $35.90 = $70.85
3. 11/7 - Deposit $10.77
So you will add $10.77 + $70.85 = $81.62
4. 11/11 - Withdrawal of $3.02
So you will now subtract $81.62- $3.02 = <em>$78.60</em>
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<em>$78.60 is our final balance! I hope this helps!</em>
Answer:
55 weeks
Step-by-step explanation:
15 ÷ 3 = 5
11 × 5 = 55
I hope this helps you :)
