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storchak [24]
3 years ago
14

What is 9/4 (5/6 - 11/15)

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

9/40

Step-by-step explanation:

9/4 (5/6 - 11/15)

9/4 (1/10)

= 9/40

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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 function has zeros of -8, 1, and 3?
rodikova [14]

Answer:

the answer should be A

Step-by-step explanation:

Hope this helps!

7 0
2 years ago
Find the circumference of each circle. Use 3.14 or 22/7 for T. Round to the
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Answer:

4. Circumference = diameter × π

8× 3. 14= 25. 12 ~25. 1

5. 13×3. 14= 40. 82 ~40. 8

6. Diameter= radius ×2

3. 5×2=7

Diameter = 7

7× 3. 14= 21. 98 ~22

6 0
3 years ago
What is the value of the function when x = 2? A set of points are plotted on a coordinate grid. The points include point 1, 2...
Harlamova29_29 [7]
When x= 2 the corresponding y value is 6, according to the point 2,6
4 0
3 years ago
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julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number
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Answer:

-10

Step-by-step explanation:

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