An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of the given expression can be done as,
Hence, the simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].
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Answer:
Not parallel.
Step-by-step explanation:
It would be parallel if its slope is also 3.
Calculate slope of line AB = y2 - y1 / x2 - x1
8 - (-2) / 3 - (-1) =
8 + 2 / 3 + 1 = 10/4 = 2.5
2.5 =/= 3, it wouldn't be parallel.
Add 21 to both sides. -10+21 is 11. So x=11.
You are given a bond interest of 6% that was given on January 1, 2016, with a face value of $600,000. Also, the market yield for bonds of similar risk, that <span>the market yield for bonds of similar risk and maturity was 7% and </span>the interest is paid semiannually on June 30 and December 31. You are to find the bond value on January 1, 2016. In here, because the yield of the market is above 6%, the bonds will have a discount for bonds less than $600,000.
Cash interest
= 0.06 * $600,000 * 6/12 (because it is done semiannually)
= $18,000
7%/2 = 3.5%
PV of interest at 3.5%
= $18,000 * 6.87396
= $123,731
PV of face at 3.5%
= $600,000 * 0.75941
= $455,646
Value of bond
= PV on interest + PV of face
= $123,731 + $455,646
= $579,377