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RideAnS [48]
3 years ago
15

in the year 2005 a company made $6.6 million in profit for each consecutive year after that their profit increase by 9% how much

would a companies profit be in the year 2009 to the nearest 10th of $1 million
Mathematics
1 answer:
posledela3 years ago
5 0

Answer:

$9.3 million

Step-by-step explanation:

Given that the company profit increases by 9% yearly from 2005.

Using the exponential growth formula;

A = P(1+r)^(t) .....1

Where;

A = final amount/value of profit

P = initial amount/value = $6.6 million

r = growth rate yearly = 9% = 0.09

t = time of growth in years = 2009 - 2005 = 4 years

Substituting the values;

A = 6.6(1+0.09)^(4)

A = 6.6(1.09)^(4)

A = 9.3164386 million

A = $9.3 million

The companies profit in the year 2009 to the nearest 10th of $1 million is $9.3 million

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A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de
dmitriy555 [2]
We have that
triangle ABC coordinates
A (0,2)  B(2,4)  C(0,0)

triangle DEF coordinates 
D (2,0)  E ( 4,4)  F (4,2)

using a graph tool
see the attached figure

therefore

Line 1<span> Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE 
</span>so
Segment AC equals 2-------> is correct
Segment FE equals 2-----> is correct
Segment AC is congruent to segment FE------> is correct

<span>Line 2 ∠A ≅ ∠F------> is correct
</span>
<span>Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83
</span>
find the distance AB
d=√[(4-2)²+(2-0)²]--------> d=√[4+4]-----> d=√8-----> d=2.83
AB=2.83
so
Line 3 is correct

<span>Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47
</span>
find the distance DE
d=√[(4-0)²+(4-2)²]--------> d=√[16+4]-----> d=√20-----> d=4.47
DE=4.47
so
Line 4------> is correct

<span>Line 5 segment AB is congruent with segment DE
AB is not congruent with DE
so
Line 5 is not correct

therefore

the answer is
</span><span>the student make the first mistake in line 5</span><span>

</span>

6 0
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