Answer:
x =(-17-√-31)/-32=(17+i√ 31 )/32= 0.5313-0.1740i
x =(-17+√-31)/-32=(17-i√ 31 )/32= 0.5313+0.1740i
Step-by-step explanation:
Solving for x
Since x<span> is on the right hand side of the </span>equation<span> switch the sides so it is on the left hand side of the </span>equation<span>.
</span><span>2x+yi=−14−3i
</span>
Since <span>yi</span><span> does not contain the </span>variable<span> to solve for move it to the right-hand side of the </span>equation<span> by subtracting </span><span>yi</span><span> from both sides.
</span><span>2x=−yi−14−3i
</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>2.
</span><span>x=−<span><span>yi/</span>2</span>−7−<span><span>3i/</span>2
Solving for y
</span></span>Since y<span> is on the right hand side of the </span>equation<span> switch the sides so it is on the left hand side of the </span>equation<span>.
</span><span>2x+yi=−14−3i
</span>Since <span>2x</span><span> does not contain the </span>variable<span> to solve for move it to the right hand side of the </span>equation<span> by subtracting </span><span>2x</span><span> from both sides.
</span><span>yi=−2x−14−3i
</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>i.
</span><span>y=2xi+14i−3
</span>x=−yi/2−7−3i/2
y=2xi+14i−3
Because the triangle is a right angle, the hypotenuse is the square root of the sum of the legs squared or the square root of (20 ^2 + 15^2) or 25. The distance wayne computed was the distance from Ferris to Dunlap or 15 plus the distance from Dunlap to Butte or 20 or 35 miles all together. The difference of 35 and 25 is 10
Here's the given:
P=$400
i=7.5%
A=$8500
The formula used for this problem is:
A = P(1+i)^t
Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)
Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years
