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3 years ago

5

Convert 8% to a a fraction in lowest terms and a decimal.

2 answers:

Stella [2.4K]3 years ago

8 0

Converting 8% to a Fraction would be : 2/25

Tanzania [10]3 years ago

4 0

The beginning fraction would be 8/100, then you simplify it to 4/50, then to 2/25
The final fraction would be 2/25, and then the decimal would be 0.08

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

3 years ago

an architect created a scale model of a building. the length of the model is 15 inches. the scale factor used to create the mode

navik [9.2K]

The length of model is ......15 inch
if the scale factor is 1/20
it means 1/20=15/h
h=12*15=300

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3 years ago

A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

Aleks04 [339]

Set up an algebraic equation: b=cost of ball
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1.10=1+2b
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Step-by-step explanation:

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AveGali [126]

Answer:

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Step-by-step explanation:

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