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borishaifa [10]

3 years ago

7

The sum of the digits of a two-digit number is 6.When the digits are reversed ,the number decreases by 18.find the original numb

er

1 answer:

-BARSIC- [3]3 years ago

5 0

2 + 4 ==> 24 --> 42 = 18

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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.

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4 years ago

What is 100 more than 291

Dmitry [639]

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Step-by-step explanation:

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4 years ago

-5x + 5 ≥ 160 − 10x ?

Kryger [21]

Answer:

x≥31

Step-by-step explanation:

-5x + 5 ≥ 160 - 10x

Add 10x on both sides and subtract 5 from both sides

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3 years ago

What is the solution of log 2 (3x-7) = 3

wel

$\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_2(3x-7)=3\implies 2^{\log_2(3x-7)}=2^3\implies 3x-7=2^3\implies 3x-7=8 \\\\\\ 3x=15\implies x=\cfrac{15}{3}\implies x=5$

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3 years ago