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loris [4]
3 years ago
12

If anyone could help answer this question that would be great.

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0
I believe the answer is 64
First break it off into 2 rectangles on is 4 width and 10 length other is 8 length and 10 width. Then multiple to find area 10•4=40 8•3=24 then add 40+24= 64
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The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in
Juliette [100K]

Answer:

(a) n(t) = P(0)*e^(0.010939940t)

(b) 12,674,681 (nearest unit)

(c) 14 years (nearest year)

Step-by-step explanation:

rate = 1.1% / year = 1.011

(a)

P(0) = 12,000,000  = population in 2010

In compound interest format, after t years

P(t) = P(0)* (1.011)^t

Given format = P(0)* e^(rt)

therefore

e^(rt) = 1.011^t       use law of exponents

(e^r)^t = 1.011^t

e^r = 1.011

r = log_e(1.011) = 0.010939940   (to 9 decimal places)

required formula is

n(t) = P(0)*e^(0.010939940t)

(b)

in 2015,

P(0)=12000000, n = 5 (years after 2010)

n(5) = 12000000*e^( 0.010939940 * 5 ) = 12,674,680.6 = 12,674,681 (nearest unit)

(c)

to reach 14 million, we equate

n(t) = 14,000,000

12,000,000 *e^(0.010939940*t) = 14,000,000

e^(0.010939940*t) = 14000000/12000000 = 7/6

take log on both sides

0.010939940*t = log(7/6)

t = log(7/6) / 0.010939940 = 14.091 years = 14 years to the nearest year.

See graph attached.  Y-axis is in millions, x-axis is in years.

4 0
3 years ago
Which is the graph of y = cos(x) + 3?
Elena-2011 [213]
Hi, I hope this helps !

5 0
2 years ago
Read 2 more answers
#14 i
ivann1987 [24]

Answer:

Incorrect/No

Step-by-step explanation:

7x2=14

-7x2=-14

<u>Follow the below guidelines:</u>

  • A positive number times a positive number is a positive number
  • A negative number times a positive number is a negative number
  • A positive number times a negative number is a negative number
  • A negative number times a negative number is a positive number

Looking at the last one, we see that -2x-7=14, a positive number

Hope this helps!

--Applepi101

7 0
3 years ago
What is the volume of the solid?
kherson [118]

Answer:

The volume of a solid is the measure of how much space an object takes up. It is measured by the number of unit cubes it takes to fill up the solid. Counting the unit cubes in the solid, we have 30 unit cubes, so the volume is: 2 units⋅3 units⋅5 units = 30 cubic units.4

Step-by-step explanation:

I hope it's helpful u

6 0
3 years ago
12 for charity walk 3 miles how much did his cousin pay per mile
WITCHER [35]
His cousin paid 4 per mile. You have to find the unit rate and you find that by dividing 12 by 3 which gives you 4. 
8 0
3 years ago
Read 2 more answers
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