2 years ago

You are sailing your boat in the Chesapeake Bay to Thomas Point Lighthouse. You see a weather buoy, and you

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

7 0

Answer:

Answer of this question is 8km

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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.

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

This means that $r = 0.16$

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

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

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

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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3 years ago

A group of 50 people were asked their gender and if they liked cats. The data from the survey are shown in the Venn diagram. Det

Alja [10]

Answer:

a = 13,

b = 28,

c = 6,

d = 22,

e = 31

Step-by-step explanation:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

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2 years ago

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Maybe B but let me check better.

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3 years ago

What does x equal in the equation 3x=x+24

erastovalidia [21]

3x = x + 24

3x - x = 24

2x = 24

x = 24 : 2

x = 12

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3 years ago

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1b,
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