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topjm [15]
2 years ago
13

I need help on question 3!! geometry unit 5

Mathematics
2 answers:
Oduvanchick [21]2 years ago
6 0

ANSWER:

angle 1 = 180°-35°-36° (angle sum of triangle)

= 109°

angle 3 = 180°-109°(adj angles on a str line)

= 71°

angle 2 = 180°-80°-71°

= 29°

mojhsa [17]2 years ago
5 0

ANSWER:

angle 1 = 180°-35°-36° (angle sum of triangle)

= 109°

angle 3 = 180°-109°(adj angles on a str line)

= 71°

angle 2 = 180°-80°-71°

= 29°

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The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
svet-max [94.6K]

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.

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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}

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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}}

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The half life of the car is 3.98 years.

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3 years ago
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