Segment AB=2x+8 and segment BD=4x+12. If segment AD=86, what is the value of x?

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

7 0

Answer: x=11

Step-by-step explanation:

AB+BD=AD

(2x+8) + (4x+12) = 86

Combine like terms.

6x + 20 = 86

Minus 20 from both sides to get x by itself.

6x = 66

Divide both sides by x to find the value of a singular x.

x= 11

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Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate

Afina-wow [57]

Answer:

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

$E=\frac{C*r}{1-(1+r)^{-n}}$

Where

E is the monthly mortgage payment

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n is the period, in months, which is 360

Substituting, we get our answer:

$E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31$