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3 years ago

How long will it take for a certain population of fish to triple if the relative growth rate is 45% per year?

Mathematics

1 answer:

Arisa [49]3 years ago

5 0

Answer:

n = 3 Year (Approx)

Step-by-step explanation:

Given:

Growth rate (r) = 45% = 0.45

Find:

Number of year for 3 times of population (n)

Computation:

Assume;

Current population = P

So,

New population = 3P

A = p(1+r)ⁿ

3P = P(1+0.45)ⁿ

3 = (1.45)ⁿ

n = 2.96 year

n = 3 Year (Approx)

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Consider the series 4 + 12 + 36 ... Find the sum of the first 9 terms.

jeyben [28]

Answer:

39364

Step-by-step explanation:

You can simplify the equation to make 4(1+3+9...) The nth term is therefore $3^{n-1}$ so u can substitute that into the equation so 4( $3^{n-1}+ 3^{n} + 3^{n+1}$ ..). This would simplify to 4( $3^0 +3+3^2$ + $3^3+3^4+3^5+3^6+3^7+3^8$ ). By simplifying this, you can make it so 4( $2^2+6^2+18^2+42^2+81^2$ ) = 4(4+36+324+2916+6561) =39364

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2 years ago

What is the expression for 40 more than twice the quotient of two amounts

svp [43]

Answer:

2(x/y)+40

Step-by-step explanation:

2(x/y)+40

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3 years ago

Kellogg's produced 715000 boxes of cornflakes this year. This was 110% of annual production last year. What was last year's annu

Charra [1.4K]

Let last year product be x boxes.

110% of x means $\displaystyle{ \frac{110}{100}\cdot x$ .

Thus, we solve the equation:

$\displaystyle{ \frac{110}{100}\cdot x=715,000$ .

Multiplying both sides by $\displaystyle{ \frac{100}{110}$ , we have:

$\displaystyle{ x=715,000 \cdot \frac{100}{110}=650,000$ .

Answer: Last <span>year's annual production was 650,000 boxes.</span>

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3 years ago

Express x% of 4 plus y% of 5 as a percentage of 11

djverab [1.8K]

X% of 4 = x*4/100 = 0.04x

y% of 5 = x*5/100 = 0.05y

x% of 4 + y% of 5 = 0.04x + 0.05y

How you express a number, n, as percentage of 11?: [n/11]*100= 9.10n %

Then make n = 0.04x + 0.05y

9.10n %= 9.10[0.04x + 0.05y] %= (0.3656x + 0.455y)%

.

4 0

4 years ago

PLS HELP QUICK I NEED THIS TO PASS

garri49 [273]

Answer:

Add all numbers and you get 2160

Then 2160÷2= 1080

This is average price.

If I'm right so,

Please mark me as brainliest. thanks!!!

6 0

3 years ago