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umka2103 [35]
3 years ago
14

3/4w - 1 / 2w - 4 = 12

Mathematics
2 answers:
Rasek [7]3 years ago
7 0
The answer to this problem is w=64,

Liula [17]3 years ago
4 0
Given equation) 3/4w- 1/2w- 4= 12 
Step 1) 1/4w-4=12 (combining like terms)
Step 2)  1/4w= 16 (adding 4 to both sides)
Step 3)  w= 4 (divide what is attached to the variable) 

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kykrilka [37]

Answer:

63 ft squared

Step-by-step explanation:

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3 0
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ivann1987 [24]

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7 0
3 years ago
Determine formula of the nth term 2, 6, 12 20 30,42​
nalin [4]

Check the forward differences of the sequence.

If \{a_n\} = \{2,6,12,20,30,42,\ldots\}, then let \{b_n\} be the sequence of first-order differences of \{a_n\}. That is, for n ≥ 1,

b_n = a_{n+1} - a_n

so that \{b_n\} = \{4, 6, 8, 10, 12, \ldots\}.

Let \{c_n\} be the sequence of differences of \{b_n\},

c_n = b_{n+1} - b_n

and we see that this is a constant sequence, \{c_n\} = \{2, 2, 2, 2, \ldots\}. In other words, \{b_n\} is an arithmetic sequence with common difference between terms of 2. That is,

2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2

and we can solve for b_n in terms of b_1=4:

b_{n+1} = b_n + 2

b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2

b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2

and so on down to

b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)

We solve for a_n in the same way.

2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)

Then

a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)

a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))

a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))

and so on down to

a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2

\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}

6 0
2 years ago
Tim deposit 4500 in a savings account that pays 4.5% simple interest. How much interest does she earn into years?
sertanlavr [38]

Answer:

ummmm is it meant to ask in 2 years instead of into years? if so

5 0
3 years ago
the electric bill in may was $248.00 in june the bill was $265.00 what is the percent of increase rounded to the nearest hundred
lions [1.4K]
265-248=17
(17/248)x100=6.854838
round that to the nearest hundredth is 6.85%
which is a
5 0
3 years ago
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