2 years ago

Is 0.3/0.9 rational?

Mathematics

2 answers:

mario62 [17]2 years ago

5 0

Answer:

Rational

Step-by-step explanation:

Repeating decimals can be represented as a ratio of two integers.

erastova [34]2 years ago

3 0

0.9

Im a nerd and i love math like my parents

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2 years ago

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

Daniel [21]

<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,

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