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MrRa [10]
3 years ago
8

A population of 350 animals has a growth rate of 5% each year. Write a exponential function to model the situation.

Mathematics
1 answer:
iragen [17]3 years ago
7 0

Answer: A =350 (1.05)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form; 5/100=0.05)

t= years

A = population after t years

Replacing with the values given:

A = 350 (1+0.05)^t

A =350 (1.05)^t

Feel free to ask for more if needed or if you did not understand something.

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There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow
Ivanshal [37]
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

\frac{8yellow}{20total} = \frac{Xyellow}{100total}

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!
6 0
2 years ago
A pair of shoes are on sale for 60% off. The shoes cost $110 before the sale. How much money will you save after the sale?
Minchanka [31]

answer: 60 × 100 = 600

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the value of 11 +22+33 + ... + 1100.
ella [17]

Answer:

sum of terms: 55550

Explanation:

\sf S_n = \dfrac{n}{2} (u_{start}+u_{end}})

Here the number of terms:

1100 ÷ 11 = 100

Using the Formula:

\sf \dfrac{100}{2} (11+1100)

\sf 55550

5 0
1 year ago
2x + 3 =-7 <br> Match equation to its solution
Blizzard [7]

Answer:

X= -5

Step-by-step explanation:

  1. You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.
  2. What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10
  3. Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)
  4. Therefore, your answer is x= -5

Hope I helped! :)

Sorry about the whole dang essay lol

3 0
2 years ago
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What is the mode of the data represented in this line plot?<br><br> Enter your answer in the box.
Semenov [28]

Answer:

2

Offmind's Step-by-step explanation:

The Mode of a data set (<em>line plot in this case</em>) is the number which occurs most often. The line plot here shows the most x's on the number 2 than any other number so the mode is in fact, 2.

Bonus Fact: In another case, if there had been two numbers with the same amount of x's then those would both be considered the mode!

If you found this answer helpful please consider marking it Brainliest

Thanks!

-<em>Offmind</em>

5 0
1 year ago
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