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Butoxors [25]
3 years ago
6

In a certain year, the population of Smallburg was $4{,}000.$ In the following year, the population increased by $15\%.$ What wa

s the resulting population?
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

4,600

Step-by-step explanation:

To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Next, multiply 4,000 by 0.15:

x= 4,000(0.15)

x=600

The last step is to add the 600 back to 4,000:

4,000 + 600 = 4,600

The population of Smallburg the following year was 4,600.

You might be interested in
In Kayllie'srecipe for lemonade, the ratio of lemons to water is 7 to 4. People are complaining that the lemonade is too weak. W
katrin [286]

Answer:

B.) 10 to 5 and D.) 8 to 4.

Step-by-step explanation:

Since we are trying to make the lemon taste stronger, there would need to be more lemons than water. The ratio would need to have a larger difference than 7:4. The difference is 3.

Choice A has a difference of 2. Two is less than 3 so this would taste more watery than lemony. Choice C has a difference of 3. Because we want a <em>stronger</em> lemon taste, this won't work. It would taste the same.

Choice B has a difference of 5. This is greater than 3 so the lemon taste will be stronger. Choice D has a difference of 4, this is also greater than 3 and will also make the taste of lemon stronger.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

5 0
3 years ago
2.
9966 [12]

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

6 0
3 years ago
What is 25% Of 30% Of 400?
marta [7]

Answer:

25% of 30% of 400 = 30

33% decrease in value

Step-by-step explanation:

You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.

Method 1:

30% of 400 = 0.3 of 400 = 0.3 * 400 = 120

25% of 120 = .25 of 120 = .25 * 120 = 30

Method 2:

30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400

7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30

5.) To find the percentage  of the new price, you can build the equation below.

\frac{new price}{original price} = \frac{percent}{100}

\frac{200,000}{300,000}  = \frac{x}{100}

20,000,000 = 300,000x

x = 66.667

The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.

3 0
3 years ago
What is the value of 5^4 over 5^6
Tasya [4]
5^4
------
5^6
625
-----
15,625
625/15625=25

7 0
3 years ago
Anyone know this please ;)
PIT_PIT [208]

Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

3 0
3 years ago
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