4x − 1 = −2 (x + 1) ⇒ Given
4x−1=−2x−2⇒ Distributive property (since we've multiplied out -2(x+1))
6x−1=−2 ⇒ <span>Addition or Subtraction Property of Equality (We've added 2x onto the 4x to get 6x)
</span>6x=−1 ⇒ <span>Commutative Property (We've moved -1 to the other side to get the sum -2+1 = -1)
</span>x=−¹/₆ ⇒ <span>Multiplication or Division Property of Equality (We divided both sides by 6)</span>
The number of years the amount has been in the venture account with 12% interest per year is 4.
<h3>What is compound interest?</h3>
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
A sum of $2,500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to $3,950.
Then the number of the years will be
We know the compound interest formula
where
A = Accumulated amount
P = Deposited value
r = rate of interest
t = time
Then we have
Taking log both sides, then we have
Then the number of the years is 4.
More about the compound interest link is given below.
brainly.com/question/25857212
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Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
This is
{HH, TT, TH, HT} where H = head and T = tail