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Lady bird [3.3K]
3 years ago
9

What is the compound interest if $480 is invested for 12 years at 6% compounded continuously?

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

<em>$506.13</em>

Step-by-step explanation:

A = Pe^{rt}

A = $480 \times e^{0.06 \times 12}

A = $986.13

The account will be worth $986.13.

The interest earned is $986.13 - $480 = $506.13.

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A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it
umka21 [38]

Answer: y=-40x+300

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call x the time in hours and y the traveled distance in miles:

Point 1: (x_{1},y_{1})=(0,300)

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: (x_{2},y_{2})=(3,180)

Since we are told the car's final position is 180 miles after 3h

<u />

<u>Let's find the Slope m: </u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=-40  This is the slope of the line

Now, the equation of the line is:

y=mx+b

We already know the slope, now we have to find the intersection point with the y-axis (b) with any of the given points. Let's choose Point 1: (x_{1},y_{1})=(0,300)

300=-40(0)+b

Isolating b:

b=-300

Then, the equation of the line is:

y=-40 x+300

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation: hope this helps <3 :)

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