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Ket [755]
2 years ago
5

Find the value of x in the following parallelogram x =

Mathematics
1 answer:
iVinArrow [24]2 years ago
5 0

Answer:

x=60\degree

Step-by-step explanation:

Consecutive angles of a parallelogram are are supplementay.

\implies \: x  + 2x  = 180 \degree \\  \\ \implies \: 3x  = 180 \degree \\  \\ \implies \: x  = \frac{ 180 \degree }{3} \\  \\ \implies \: x  =60 \degree

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Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that r = 0.16

So

V(t) = V(0)(1-r)^{t}

V(t) = V(0)(1-0.16)^{t}

V(t) = V(0)(0.84)^{t}

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

V(t) = V(0)(0.84)^{t}

0.5V(0) = V(0)(0.84)^{t}

(0.84)^{t} = 0.5

\log{(0.84)^{t}} = \log{0.5}

t\log{0.84} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.84}}

t = 3.98

The half life of the car is 3.98 years.

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