Please help with 2 What is the corresponding angles and sides and what is the Scale factor?

Mathematics

1 answer:

yarga [219]3 years ago

6 0

I'm not sure but I think the corresponding angles would be LK and MN, HG and IJ
Scale factor: 21/4= 3

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The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the a

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<h3>Annual percent growth is 4.37 %</h3>

Solution:

The increasing function is given as:

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

Where,

y is future value

a is initial value

r is growth rate

t is number of years

From given,

a = 5000

y = 9500

t = 1997 to 2012 = 15 years

r = ?

Substituting the values we get,

$9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%$