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zimovet [89]
3 years ago
9

14. A=lwh , solve for w

Mathematics
1 answer:
notka56 [123]3 years ago
6 0
A/lh=w is the correct answer
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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
Anna is organizing 40 sheets of red and blue scrapbook paper. She places 15 blue sheets in each of 2 folders. Then she splits th
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What equations are you using for this question?
8 0
3 years ago
Read 2 more answers
The cab ride for the dulles airport to the hotel was 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.
natali 33 [55]
The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile the entire trip.
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3 years ago
Determine which relation is a function.
Nezavi [6.7K]
Functions can only have 1 value of 'x'.

Option A is not a function because it has two -5's

Option B is not a function because it has two -2's.

Option C is a function.

Option D is not a function because it has two 6's.
5 0
3 years ago
What is the slope of (-5,3) and (7,9)
Softa [21]

Answer:

-35

___

27

Step-by-step explanation:

Start by setting up your pairs (x,y)

-5 & 7 are x

3 & 9 are y

X * X

---------- ÷

Y * Y

(-5, 7)

---------

(3, 9)

-35

-------

27

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3 years ago
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