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3 years ago

PRETTY PLEASE help with scientific notion questions

Mathematics

1 answer:

Blizzard [7]3 years ago

4 0

Questions 1 and 2 are correct.

Question #3 is A

Question #4 is C

Question #5 is C

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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

HELPPP only got 43 minutes to answer questions

irga5000 [103]

Answer:

20 feet below sea level

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How many minutes are in m hours?

notka56 [123]

Answer:

the 2nd one (60m minutes)

Step-by-step explanation:

60 minutes in an hour, so if m is the number of hours you would times that by the number of minutes in an hour which is sixty. 60m is 60 times m

8 0

3 years ago

Heron wants to buy a video game. The price is regularly priced at 55 dollars. The store has a discount of 20% off and a sales ta

seropon [69]

The amount paid by Heron for the video game is $46.64.

Step-by-step explanation:

Here, the marked price of the video game = $55

The discount percentage on the video game = 20%

Calculating 20% of the $55, we get:

$\frac{20}{100} \times 55 = 11$

So, the discount offered on the video game = $11

Selling Price = Marked Price - Discount

=$55 - $11 = $44

Now, the tax percentage on the video game = 6%

Calculating 6% of the $44, we get:

$\frac{6}{100} \times 44 =2.64$

So, the tax on the video game = $2.64

New Selling Price = Selling Price + Tax

=$44 + $2.64 = $46.64

So, the amount paid by Heron for the video game is $46.64.

3 0

3 years ago

•225+225 = ?<br>•5/25 = ?<br>•78-8 = ?<br>•13*1 = ?

Karolina [17]

ANSWER:

[i] 225 + 225 = 450.

[ii] 5/25 = 1/5.

[iii] 78 - 8 = 70.

[iv] 13 × 1 = 13.

5 0

3 years ago

Read 2 more answers