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2 years ago

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Leonard owns a business earning $37,800 in profits. These profits are appreciating at about 2.3% each year. What are Leonard's p

rofits after eight years? (2 points)
$38,383.50
$45,341.60
$31,379.67
$44,755.20

1 answer:

satela [25.4K]2 years ago

3 0

Answer:

B. $45341.60

Step-by-step explanation:

<u>Given:</u>

Initial profit = $37800
Rate of appreciation = 2.3% per year

<u>The equation for this:</u>

$P(t) = 37800*(1 + 0.023)^t = 37800*1.023^t$

<u>Find the value of P(8):</u>

$P(8) = 37800*1.023^8 = 45341.60$

Correct choice is B

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vampirchik [111]

Answer:

Solution of equation ( x ) = <u>7</u>

Step-by-step explanation:

In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

<u> $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ </u>

<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

<u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

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1 year ago

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4x-3y=2<br> 3x=5y=16<br> solve using substitution method

vodomira [7]

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2 years ago

Mr. Morales owns a warehouse that is 56,000 cubic feet. He wants to build an addition that will increase the size of the warehou

Gennadij [26K]

Answer:

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Step-by-step explanation:

To solve this problem, we can use a percentage formula as shown below:

$P(1+r)$

<em>P = initial value</em>

<em>r = rate</em>

Now lets plug in the values given in the question:

$56,000(1+.11) =$ 62,160

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3 years ago

What does the red x stand for in this line plot?<br><br> Can anyone help me pls

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3 years ago

100 Brainliest up for grabs to person who can answer all of these with no links:

kogti [31]

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

P(X = 0) = 0.2.

P(X = 1) = 0.4.

P(X = 2) = 0.3.

P(X = 3) = 0.1.

Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8$

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

The expected value is of 1.3 lawns mowed on a randomly selected day.

More can be learned about discrete probability distributions at brainly.com/question/24855677

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2 years ago