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3 years ago

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HELP ASAP

1 answer:

Mumz [18]3 years ago

5 0

<span>$15000 compounded continuously at a rate of 3% for 11 years will yield a final amount of $20864.52. The equation for continuously compounded interest A = Pe^rt where A=End Amount P=Inital Amount e=eulers number (approximately 2.7) r=growth rate per year and t= time. So for your problem, p= 15000 r= 3 and t= 11. Plug that into your calculator and you'll get $20864.52.</span>

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Complete the equations so that the solution of the system of equations is (-3, 5)

yanalaym [24]

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3 years ago

Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

nlexa [21]

$$ PS = \frac{4}{3} x$

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$$PT = x, \ PQ = 3x, \ SR=\frac{8}{3}x$

$TQ=PQ-PT$

$TQ=3x -x=2x$

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$$\frac{PS}{SR} =\frac{PT}{TQ}$

$$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}$

Do cross multiplication, we get

$$ PS \times 2x=x \times \frac{8}{3} x$

Divide by 2x on both sides, we get

$$ PS = \frac{4}{3} x$

4 0

3 years ago

A company manufactures and sells video games. A survey of video game stores indicated that at a price of $66 each, the demand wo

AysviL [449]

Answer:

$y=-30x+2380$

Step-by-step explanation:

$x\rightarrow$ represent price per video game.

$y\rightarrow$ represent demand.

The linear equation in slope intercept form can be represented as:

$y=mx+b$

where $m$ is slope of line or rate of change of demand of game per dollar change in price and $b$ is the y-intercept or initial price of game.

We can construct two points using the data given.

When price was $66 each demand was 400. $(66,400)$

When price was $36 each demand was 1300. $(36,1300)$

Using the points we can find slope $m$ of line.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{1300-400}{36-66)}$

$m=\frac{900}{-30}$

$m=-30$

Using point slope form of linear equation to write the equation using a given point.

$y-y_1=m(x-x_1)$

Using point $(66,400)$ .

$y-400=-30(x-66)$

⇒ $y-400=-30x+1980$ [Using distribution]

Adding 400 to both sides:

⇒ $y-400+400=-30x+1980+400$

⇒ $y=-30x+2380$

The linear relationship between price and demand can be written as:

$y=-30x+2380$

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netineya [11]

Answer:

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Answer:

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