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3 years ago

Write the equation of a line in point slope form that has a slope of -1/5 goes through the points (2, -7)

1 answer:

5 0

Point slope form : y - y1 = m ( x - x1)

m = slope = -1/5

Substitute the coordinate in for the corresponding value...

x = 2 and y = -7

POINT SLOPE FORM EQUATION : y + 7 = -1/5 ( x - 2 )

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3 years ago

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Elan Coil [88]

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2 years ago

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PLEASE HELP: p(t)=1.8^t

Karo-lina-s [1.5K]

<h3>Initial amount = 1</h3><h3>Rate of growth = 80 %</h3><h3>The value is 18.9 when t = 5</h3>

<em><u>Solution:</u></em>

<em><u>The given exponential function is:</u></em>

$p(t) = 1.8^t$

<em><u>The exponential function is given as:</u></em>

$y = a(1+r)^t$

Where,

y is the future value

a is the initial value

r is the growth rate

t is the number of years

<em><u>Compare both the functions,</u></em>

a = 1

$1+r = 1.8\\\\r = 1.8 - 1\\\\r = 0.8$

Thus growth rate is:

$r = 0.8 = 0.8 \times 100 \% = 80 \%$ <em><u></u></em>

<em><u>Evaluate the function when t = 5</u></em>

Substitute t = 5 in given

$p(5) = 1.8^5\\\\p(5) = 18.89568 \approx 18.9$

Thus the value is 18.9 when t = 5

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4 years ago