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belka [17]
3 years ago
11

Worth 60points!!!!!

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

X=4

Step-by-step explanation:

2÷\frac{1}{2}=4

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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

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.

7 0
4 years ago
Given the equation that describes a quadratic function is
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E , quads only explain the x and y intercepts
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A store held a going-out-of business sale where everything was 70% off. Jackson spent a total of $ 115.74. What would he have sp
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Multiply $115.74 by .7 (.7 = 70%) then add that to $115.74 to get the total.

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Which of the following statements best explains why the auditing profession has found it essential to promulgate ethical standar
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Answer:

C. A distinguishing mark of a profession is its acceptance of responsibility to the public.

Step-by-step explanation:

The following statement best explains why the auditing profession has found it essential to promulgate ethical standards and to establish means for ensuring their observance is :

A distinguishing mark of a profession is its acceptance of responsibility to the public.

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Eric had a total of 40 nickels and dimes if the total value of the coins is 330 cents, how many nickels and dimes does he have?
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Answer:

165 of nickels and 165 of dimes

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